А. Б. Сошников, “Детерминантные случайные точечные поля”, УМН, 55:5(335) (2000), 107–160; Russian Math. Surveys, 55:5 (2000), 923

RUS ENG

ЖУРНАЛЫ ПЕРСОНАЛИИ ОРГАНИЗАЦИИ КОНФЕРЕНЦИИ СЕМИНАРЫ ВИДЕОТЕКА ПАКЕТ AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	Общая информация
	Последний выпуск
	Архив
	Импакт-фактор
	Подписка
	Правила для авторов
	Лицензионный договор
	Загрузить рукопись
	Историческая справка

	Поиск публикаций
	Поиск ссылок

	RSS
	Последний выпуск
	Текущие выпуски
	Архивные выпуски
	Что такое RSS

УМН:
Год:
Том:
Выпуск:
Страница:
	Найти

Персональный вход:
Логин:
Пароль:
	Запомнить пароль
	Войти
	Забыли пароль?
	Регистрация

УМН, 2000, том 55, выпуск 5(335), страницы 107–160 (Mi umn321)

Эта публикация цитируется в 289 научных статьях (всего в 289 статьях)

Детерминантные случайные точечные поля

А. Б. Сошников

University of California, Berkeley

Аннотация: Статья содержит как хорошо известные, так и новые результаты о детерминантных случайных полях. В первом разделе статьи изложено доказательство теоремы о необходимом и достаточном условии для существования детерминантного случайного поля с эрмитовым ядром и также некоторые смежные технические результаты. Второй раздел посвящен примерам детерминантных случайных полей из квантовой механики, статистической механики, теории случайных матриц, теории вероятностей, теории представлений и эргодической теории. В связи с теорией процессов восстановления мы охарактеризовали все эрмитовы детерминантные случайные поля с независимыми одинаково распределенными спейсингами. В третьем разделе исследуются эргодические свойства трансляционно инвариантных детерминантных случайных точечных полей. В частности, доказываются свойство перемешивания любой кратности и абсолютная непрерывность спектра. В последней секции обсуждается доказательство центральной предельной теоремы для числа частиц в растущем интервале и функциональной центральной предельной теоремы для эмпирической функции распределения спейсингов.
Библиография: 92 названия.

DOI: https://doi.org/10.4213/rm321

Полный текст: PDF файл (546 kB)

Список литературы: PDF файл HTML файл

Англоязычная версия:
Russian Mathematical Surveys, 2000, 55:5, 923–975

Реферативные базы данных:

УДК: 519.218
MSC: Primary 60G60, 60K35; Secondary 15A52, 60K05, 60F05, 37A25, 82C22
Поступила в редакцию: 11.04.2000

Образец цитирования: А. Б. Сошников, “Детерминантные случайные точечные поля”, УМН, 55:5(335) (2000), 107–160; Russian Math. Surveys, 55:5 (2000), 923–975

Цитирование в формате AMSBIB

\RBibitem{Sos00}

\by А.~Б.~Сошников

\paper Детерминантные случайные точечные поля

\jour УМН

\yr 2000

\vol 55

\issue 5(335)

\pages 107--160

\mathnet{http://mi.mathnet.ru/umn321}

\crossref{https://doi.org/10.4213/rm321}

\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1799012}

\zmath{https://zbmath.org/?q=an:0991.60038}

\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2000RuMaS..55..923S}

\transl

\jour Russian Math. Surveys

\yr 2000

\vol 55

\issue 5

\pages 923--975

\crossref{https://doi.org/10.1070/rm2000v055n05ABEH000321}

\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000168165100002}

\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0034556390}

Образцы ссылок на эту страницу:

http://mi.mathnet.ru/umn321

https://doi.org/10.4213/rm321

http://mi.mathnet.ru/rus/umn/v55/i5/p107

ОТПРАВИТЬ:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

Эта публикация цитируется в следующих статьяx:

Martin Kerscher, “Constructing, characterizing, and simulating Gaussian and higher-order point distributions”, Phys Rev E, 64:5 (2001), 056109
Borodin, A, “Infinite random matrices and ergodic measures”, Communications in Mathematical Physics, 223:1 (2001), 87
Alexei Borodin, Percy Deift, “Fredholm determinants, Jimbo-Miwa-Ueno τ-functions, and representation theory”, Comm Pure Appl Math, 55:9 (2002), 1160
Shirai, T, “Glauber dynamics for fermion point processes”, Nagoya Mathematical Journal, 168 (2002), 139
Lytvynov, E, “Fermion and boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density”, Reviews in Mathematical Physics, 14:10 (2002), 1073
Matsui, T, “Bosonic central limit theorem for the one-dimensional XY model”, Reviews in Mathematical Physics, 14:7–8 (2002), 675
Borodin, A, “Duality of orthogonal polynomials on a finite set”, Journal of Statistical Physics, 109:5–6 (2002), 1109
Soshnikov, A, “A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices”, Journal of Statistical Physics, 108:5–6 (2002), 1033
Prahofer, M, “Scale invariance of the PNG droplet and the airy process”, Journal of Statistical Physics, 108:5–6 (2002), 1071
Wieand, K, “Eigenvalue distributions of random unitary matrices”, Probability Theory and Related Fields, 123:2 (2002), 202
Johansson, K, “Non-intersecting paths, random tilings and random matrices”, Probability Theory and Related Fields, 123:2 (2002), 225
Soshnikov, A, “Gaussian limit for determinantal random point fields”, Annals of Probability, 30:1 (2002), 171
Borodin A., Forrester P.J., “Increasing subsequences and the hard-to-soft edge transition in matrix ensembles”, J. Phys. A, 36:12 (2003), 2963–2981
Olshanski G., “An introduction to harmonic analysis on the infinite symmetric group”, Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001), Lecture Notes in Math., 1815, Springer, Berlin, 2003, 127–160
Lyons R., “Determinantal probability measures”, Publ. Math. Inst. Hautes Études Sci., 2003, no. 98, 167–212
Lyons R., Steif J.E., “Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination”, Duke Math. J., 120:3 (2003), 515–575
Shirai T., Takahashi Y., “Random point fields associated with certain Fredholm determinants. I. Fermion, Poisson and boson point processes”, J. Funct. Anal., 205:2 (2003), 414–463
Johansson K., “Discrete polynuclear growth and determinantal processes”, Comm. Math. Phys., 242:1-2 (2003), 277–329
Borodin A., Soshnikov A., “Janossy densities. I. Determinantal ensembles”, J. Statist. Phys., 113:3-4 (2003), 595–610
Soshnikov A., “Janossy densities. II. Pfaffian ensembles”, J. Statist. Phys., 113:3-4 (2003), 611–622
Wieand K., “Permutation matrices, wreath products, and the distribution of eigenvalues”, J. Theoret. Probab., 16:3 (2003), 599–623
Ferrari P.L., Spohn H., “Step fluctuations for a faceted crystal”, J. Statist. Phys., 113:1-2 (2003), 1–46
Shirai T., Takahashi Y., “Random point fields associated with certain Fredholm determinants. II. Fermion shifts and their ergodic and Gibbs properties”, Ann. Probab., 31:3 (2003), 1533–1564
Borodin A., “Discrete gap probabilities and discrete Painlevé equations”, Duke Math. J., 117:3 (2003), 489–542
Diaconis P., “Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture”, Bull. Amer. Math. Soc. (N.S.), 40:2 (2003), 155–178
Sodin M., Tsirelson B., “Random complex zeroes. I. Asymptotic normality”, Israel J. Math., 144:1 (2004), 125–149
Rider B., “Deviations from the circular law”, Probab. Theory Related Fields, 130:3 (2004), 337–367
Soshnikov A., “Janossy densities of coupled random matrices”, Comm. Math. Phys., 251:3 (2004), 447–471
Johansson K., “Determinantal processes with number variance saturation”, Comm Math Phys, 252:1-3 (2004), 111–148
Ferrari P.L., “Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues”, Comm. Math. Phys., 252:1-3 (2004), 77–109
Koralov L., “Existence of pair potential corresponding to specified density and pair correlation”, Lett. Math. Phys., 71:2 (2005), 135–148
Georgii H.-O., Yoo Hyun Jae, “Conditional intensity and Gibbsianness of determinantal point processes”, J. Stat. Phys., 118:1-2 (2005), 55–84
A. B. Soshnikov, “Statistics of extreme spacing in determinantal random point processes”, Mosc. Math. J., 5:3 (2005), 705–719
Peres Y., Virág B., “Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process”, Acta Math., 194:1 (2005), 1–35
Borodin A., Olshanski G., “Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes”, Ann. of Math. (2), 161:3 (2005), 1319–1422
Ben Arous G., Péché S., “Universality of local eigenvalue statistics for some sample covariance matrices”, Comm. Pure Appl. Math., 58:10 (2005), 1316–1357
Запорожец Д.Н., “Случайные полиномы и геометрическая вероятность”, Докл. РАН, 400:3 (2005), 299–303 ; Zaporozhets D.N., “Random polynomials and geometric probability”, Dokl. Math., 71:1 (2005), 53–57
Broman E.I., “One-dependent trigonometric determinantal processes are two-block-factors”, Ann. Probab., 33:2 (2005), 601–609
Gustavsson J., “Gaussian fluctuations of eigenvalues in the GUE”, Ann. Inst. H. Poincaré Probab. Statist., 41:2 (2005), 151–178
Johansson K., “The arctic circle boundary and the Airy process”, Ann. Probab., 33:1 (2005), 1–30
Yoo Hyun Jae, “Dirichlet forms and diffusion processes for fermion random point fields”, J. Funct. Anal., 219:1 (2005), 143–160
Borodin A., Olshanski G., “Representation theory and random point processes”, European Congress of Mathematics, 2005, 73–94
Manjunath Krishnapur, “Overcrowding estimates for zeroes of Planar and Hyperbolic Gaussian analytic functions”, J Statist Phys, 124:6 (2006), 1399
Hyun Jae Yoo, “Gibbsianness of fermion random point fields”, Math Z, 252:1 (2006), 27
Borodin A., Strahov E., “Averages of characteristic polynomials in random matrix theory”, Comm. Pure Appl. Math., 59:2 (2006), 161–253
Tomoyuki Shirai, “Large Deviations for the Fermion Point Process Associated with the Exponential Kernel”, J Statist Phys, 123:3 (2006), 615
Alexei Borodin, Grigori Olshanskii, “Meixner polynomials and random partitions”, Mosc. Math. J., 6:4 (2006), 629–655
Mccullagh, P, “The permanental process”, Advances in Applied Probability, 38:4 (2006), 873
Johansson, K, “Eigenvalues of GUE minors”, Electronic Journal of Probability, 11 (2006), 1342
Torquato, S, “New conjectural lower bounds on the optimal density of sphere packings”, Experimental Mathematics, 15:3 (2006), 307
Spohn, H, “Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals”, Physica A-Statistical Mechanics and Its Applications, 369:1 (2006), 71
Baik, J, “A model for the bus system in Cuernavaca (Mexico)”, Journal of Physics A-Mathematical and General, 39:28 (2006), 8965
Tamura, H, “A canonical ensemble approach to the fermion/boson random point processes and its applications”, Communications in Mathematical Physics, 263:2 (2006), 353
Tracy, CA, “The Pearcey process”, Communications in Mathematical Physics, 263:2 (2006), 381
Rider B., Virág B., “The noise in the circular law and the Gaussian free field”, Int. Math. Res. Not. IMRN, 2007, rnm006, 33 pp.
K. Johansson, “From Gumbel to Tracy-Widom”, Probab Theory Relat Fields, 138:1-2 (2007), 75
Leonid Koralov, “An inverse problem for Gibbs fields with hard core potential”, J Math Phys (N Y ), 48:5 (2007), 053301
Makoto Katori, Hideki Tanemura, “Noncolliding Brownian Motion and Determinantal Processes”, J Statist Phys, 129:5-6 (2007), 1233
Hyun Jae Yoo, “A Variational Principle in the Dual Pair of Reproducing Kernel Hilbert Spaces and an Application”, J Statist Phys, 126:2 (2007), 325
Ф. Гетце, М. И. Гордин, А. Левина, “Предельное поведение в нуле корреляционных функций случайных матриц с фиксированным следом”, Вероятность и статистика. 11, Зап. научн. сем. ПОМИ, 341, ПОМИ, СПб., 2007, 68–80 ; F. Götze, M. I. Gordin, A. Levina, “Limit correlation functions at zero for fixed trace random matrix ensembles”, J. Math. Sci. (N. Y.), 147:4 (2007), 6884–6890
Ledoux, M, “Deviation inequalities on largest eigenvalues”, Geometric Aspects of Functional Analysis, 1910 (2007), 167
Borodin, A, “Asymptotics of Plancherel-type random partitions”, Journal of Algebra, 313:1 (2007), 40
Daems, E, “Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions”, Journal of Approximation Theory, 146:1 (2007), 91
Hambly, B, “Number variance from a probabilistic perspective: infinite systems of independent Brownian motions and symmetric alpha-stable processes”, Electronic Journal of Probability, 12 (2007), 862
El Karoui, N, “Tracy-Widom limit for the largest eigenvalue of a large class of complex sample covariance matrices”, Annals of Probability, 35:2 (2007), 663
Lytvynov, E, “On the correlation measure of a family of commuting Hermitian operators with applications to particle densities of the quasi-free representations of the CAR and CCR”, Journal of Functional Analysis, 245:1 (2007), 62
Tamura, H, “A random point field related to Bose–Einstein condensation”, Journal of Functional Analysis, 243:1 (2007), 207
Rider B., Virag B., “Complex determinantal processes and H-1 noise”, Electronic Journal of Probability, 12 (2007), 1238–1257
Gottlieb A.D., “Introduction To Determinantal Point Processes From a Quantum Probability Viewpoint”, Quantum Probability and Infinite Dimensional Analysis, Proceedings, Qp-Pq Quantum Probability and White Noise Analysis, 20, 2007, 212–223
Koralov L., “An inverse problem for Gibbs fields”, Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov, Crm Proceedings & Lecture Notes, 42, 2007, 299–307
Craig A. Tracy, Harold Widom, “Integral Formulas for the Asymmetric Simple Exclusion Process”, Comm Math Phys, 279:3 (2008), 815
Friedrich Götze, Mikhail Gordin, “Limit Correlation Functions for Fixed Trace Random Matrix Ensembles”, Comm Math Phys, 281:1 (2008), 203
Г. И. Ольшанский, “Разностные операторы и детерминантные точечные процессы”, Функц. анализ и его прил., 42:4 (2008), 83–97 ; G. I. Olshanskii, “Difference Operators and Determinantal Point Processes”, Funct. Anal. Appl., 42:4 (2008), 317–329
Killip, R, “Gaussian Fluctuations for beta Ensembles”, International Mathematics Research Notices, 2008, rnn007
Torquato, S, “Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory”, Journal of Statistical Mechanics-Theory and Experiment, 2008, P11019
Strahov, E, “Matrix Kernels for Measures on Partitions”, Journal of Statistical Physics, 133:5 (2008), 899
Daems, E, “Asymptotics of non-intersecting Brownian motions and a 4x4 Riemann–Hilbert problem”, Journal of Approximation Theory, 153:2 (2008), 225
Borodin, A, “Loop-free Markov chains as determinantal point processes”, Annales de l Institut Henri Poincare-Probabilites et Statistiques, 44:1 (2008), 19
Hagg, J, “Local Gaussian fluctuations in the airy and discrete PNG processes”, Annals of Probability, 36:3 (2008), 1059
Onatski, A, “The tracy-widom limit for the largest eigenvalues of singular complex wishart matrices”, Annals of Applied Probability, 18:2 (2008), 470
de Coninck, J, “On the correlation structure of some random point processes on the line”, Physica A-Statistical Mechanics and Its Applications, 387:4 (2008), 725
В. Е. Горин, “Несталкивающиеся диффузии Якоби как предел марковских цепей на графе Гельфанда–Цетлина”, Теория представлений, динамические системы, комбинаторные методы. XVI, Зап. научн. сем. ПОМИ, 360, ПОМИ, СПб., 2008, 91–123 ; V. E. Gorin, “Non-colliding Jacobi processes as limits of Markov chains on the Gelfand–Tsetlin graph”, J. Math. Sci. (N. Y.), 158:6 (2009), 819–837
Kuijlaars A.B.J., Martínez-Finkelshtein A., Wielonsky F., “Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights”, Comm. Math. Phys., 286:1 (2009), 217–275
Martin Bender, “Edge scaling limits for a family of non-Hermitian random matrix ensembles”, Probab Theory Relat Fields, 2009
Antonello Scardicchio, Chase E. Zachary, Salvatore Torquato, “Statistical properties of determinantal point processes in high-dimensional Euclidean spaces”, Phys Rev E, 79:4 (2009), 041108
J. Novak, “Vicious Walkers and Random Contraction Matrices”, Internat Math Res Notices, 2009, 3310–3327
C. Bendjaballah, M. Pourmir, “Second-order statistical properties of quantum chaotic beams”, Phys Rev A, 79:5 (2009), 053826
Craig A. Tracy, Harold Widom, “Total current fluctuations in the asymmetric simple exclusion process”, J Math Phys (N Y ), 50:9 (2009), 095204
Makoto Katori, Hideki Tanemura, “Zeros of Airy Function and Relaxation Process”, J Statist Phys, 2009
Myeongju CHAE, Hyun Jae YOO, “Glauber and Kawasaki Dynamics for Determinantal Point Processes in Discrete Spaces”, Interdiscip Inform Sci, 15:3 (2009), 377
Sean O’Rourke, “Gaussian Fluctuations of Eigenvalues in Wigner Random Matrices”, J Statist Phys, 2009
Caputo, P, “Recurrence and transience for long range reversible random walks on a random point process”, Electronic Journal of Probability, 14 (2009), 2580
Blower, G, “DISCRETE TRACY-WIDOM OPERATORS”, Proceedings of the Edinburgh Mathematical Society, 52 (2009), 545
“Large Random Matrices: Lectures on Macroscopic Asymptotics”, Large Random Matrices: Lectures on Macroscopic Asymptotics, 1957 (2009), 5
Boutillier, C, “THE BEAD MODEL AND LIMIT BEHAVIORS OF DIMER MODELS”, Annals of Probability, 37:1 (2009), 107
Krishnapur, M, “FROM RANDOM MATRICES TO RANDOM ANALYTIC FUNCTIONS”, Annals of Probability, 37:1 (2009), 314
Evans, SN, “Hyperdeterminantal point processes”, Metrika, 69:2–3 (2009), 85
Blower G., “Linear systems and determinantal random point fields”, Journal of Mathematical Analysis and Applications, 355:1 (2009), 311–334
Soshnikov A., “On Resolvent Identities in Gaussian Ensembles at the Edge of the Spectrum”, New Trends in Mathematical Physics, 2009, 615–627
Hiroshi Tamura, Valentin A. Zagrebnov, “Large deviation principle for noninteracting boson random point processes”, J Math Phys (N Y ), 51:2 (2010), 023528
Katori M., Tanemura H., “Non-equilibrium dynamics of Dyson's model with an infinite number of particles”, Comm. Math. Phys., 293:2 (2010), 469–497
Adler M., Ferrari P.L., van Moerbeke P., “Airy Processes with Wanderers and New Universality Classes”, Annals of Probability, 38:2 (2010), 714–769
Strahov E., “The z-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel”, Advances in Mathematics, 224:1 (2010), 130–168
Craig A. Tracy, Harold Widom, “Formulas for joint probabilities for the asymmetric simple exclusion process”, J Math Phys (N Y ), 51:6 (2010), 063302
Dang-Zheng Liu, Da-Sheng Zhou, “Some Universal Properties for Restricted Trace Gaussian Orthogonal, Unitary and Symplectic Ensembles”, J Statist Phys, 140:2 (2010), 268
Borodin A., Diaconis P., Fulman J., “On Adding a List of Numbers (and Other One-Dependent Determinantal Processes)”, Bulletin of the American Mathematical Society, 47:4 (2010), 639–670
Goldman A., “The Palm Measure and the Voronoi Tessellation for the Ginibre Process”, Annals of Applied Probability, 20:1 (2010), 90–128
Osada H., “Tagged particle processes and their non-explosion criteria”, Journal of the Mathematical Society of Japan, 62:3 (2010), 867–894
Takahashi Y., “Construction of Poissonian Fock space: a simple proof”, Proceedings of the Japan Academy Series A-Mathematical Sciences, 86:3 (2010), 60–63
Petrov L., “Random Strict Partitions and Determinantal Point Processes”, Electronic Communications in Probability, 15 (2010), 162–175
Camilier I., Decreusefond L., “Quasi-invariance and integration by parts for determinantal and permanental processes”, Journal of Functional Analysis, 259:1 (2010), 268–300
Kuijlaars A.B.J., “Multiple orthogonal polynomial ensembles”, Recent Trends in Orthogonal Polynomials and Approximation Theory, Contemporary Mathematics, 507, 2010, 155–176
A. Martínez-Finkelshtein, E. A. Rakhmanov, “Critical Measures, Quadratic Differentials, and Weak Limits of Zeros of Stieltjes Polynomials”, Commun. Math. Phys, 2011
Makoto Katori, Hideki Tanemura, “Noncolliding Squared Bessel Processes”, J Stat Phys, 142:3 (2011), 592–615
Collins B., Nechita I., “Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems”, Advances in Mathematics, 226:2 (2011), 1181–1201
Hirofumi Osada, “Infinite-dimensional stochastic differential equations related to random matrices”, Probab. Theory Relat. Fields, 2011
Makiko Sato, Makoto Katori, “Determinantal correlations of Brownian paths in the plane with nonintersection condition on their loop-erased parts”, Phys. Rev. E, 83:4 (2011)
Michael Baake, Holger Kösters, “Random point sets and their diffraction”, Philosophical Magazine, 91:19-21 (2011), 2671
A. B. J. Kuijlaars, A. Martínez-Finkelshtein, F. Wielonsky, “Non-Intersecting Squared Bessel Paths: Critical Time and Double Scaling Limit”, Commun. Math. Phys, 2011
Anthony P. Metcalfe, “Universality properties of Gelfand–Tsetlin patterns”, Probab. Theory Relat. Fields, 2011
Nathalie Eisenbaum, “Stochastic order for alpha-permanental point processes”, Stochastic Processes and their Applications, 2011
Petrov L., “Pfaffian Stochastic Dynamics of Strict Partitions”, Electron J Probab, 16 (2011), 2246–2295
Tracy C.A., Widom H., “Painlevé Functions in Statistical Physics”, Publ Res Inst Math Sci, 47:1 (2011), 361–374
Borodin A., Duits M., “Limits of determinantal processes near a tacnode”, Ann Inst Henri Poincaré Probab Stat, 47:1 (2011), 243–258
Olshanski G., “The quasi-invariance property for the Gamma kernel determinantal measure”, Adv Math, 226:3 (2011), 2305–2350
Le Jan Y., “Markov Paths, Loops and Fields Preface”, Markov Paths, Loops and Fields: Saint-Flour Probability Summer School Xxxviii-2008, Lect. Notes Math., 2026, Springer-Verlag Berlin, 2011, V+
Benjamin Nehring, Hans Zessin, “A representation of the moment measures of the general ideal Boe gas”, Math. Nachr, 2012, n/a
А. И. Буфетов, “О мультипликативных функционалах детерминантных процессов”, УМН, 67:1(403) (2012), 177–178 ; A. I. Bufetov, “Multiplicative functionals of determinantal processes”, Russian Math. Surveys, 67:1 (2012), 181–182
Alexei M. Veneziani, Tiago Pereira, Domingos H. U. Marchetti, “Asymptotic integral kernel for ensembles of random normal matrices with radial potentials”, J. Math. Phys, 53:2 (2012), 023303
Bertola M., Cafasso M., “Fredholm Determinants and Pole-free Solutions to the Noncommutative Painlevé II Equation”, Comm Math Phys, 309:3 (2012), 793–833
Makoto Katori, “Reciprocal Time Relation of Noncolliding Brownian Motion with Drift”, J Stat Phys, 148:1 (2012), 38
P. Bourgade, J. Najnudel, A. Nikeghbali, “A Unitary Extension of Virtual Permutations”, International Mathematics Research Notices, 2012
Alexander I. Bufetov, “On the Vershik–Kerov Conjecture Concerning the Shannon–McMillan–Breiman Theorem for the Plancherel Family of Measures on the Space of Young Diagrams”, Geom. Funct. Anal, 2012
Terence Tao, “The asymptotic distribution of a single eigenvalue gap of a Wigner matrix”, Probab. Theory Relat. Fields, 2012
Makoto Katori, “System of Complex Brownian Motions Associated with the O’Connell Process”, J Stat Phys, 2012
Yuta Takahashi, Makoto Katori, “Noncolliding Brownian motion with drift and time-dependent Stieltjes-Wigert determinantal point process”, J. Math. Phys, 53:10 (2012), 103305
Kurt Johansson, “Non-colliding Brownian Motions and the Extended Tacnode Process”, Commun. Math. Phys, 2012
Bertola M., Cafasso M., “Riemann–Hilbert Approach to Multi-Time Processes: the Airy and the Pearcey Cases”, Physica D, 241:23-24 (2012), 2237–2245
Breuer J., Duits M., “Nonintersecting Paths with a Staircase Initial Condition”, Electron. J. Probab., 17 (2012), 60, 1–24
Ganti R.K., Baccelli F., Andrews J.G., “Series Expansion for Interference in Wireless Networks”, IEEE Trans. Inf. Theory, 58:4 (2012), 2194–2205
Tamura H., Zagrebnov V.A., “Random Point Field Approach to Analysis of Anisotropic Bose–Einstein Condensations”, Markov Process. Relat. Fields, 18:3, SI (2012), 473–530
E. Lytvynov, G. Olshanski, “Equilibrium Kawasaki dynamics and determinantal point processes”, Теория представлений, динамические системы, комбинаторные методы. XXI, Зап. научн. сем. ПОМИ, 403, ПОМИ, СПб., 2012, 81–94 ; J. Math. Sci. (N. Y.), 190:3 (2013), 451–458
Ivan Corwin, Alan Hammond, “Brownian Gibbs property for Airy line ensembles”, Invent. math, 2013
Benjamin Nehring, “Construction of point processes for classical and quantum gases”, J. Math. Phys, 54:5 (2013), 053304
J. Kiukas, A. Ruschhaupt, R. F. Werner, “Full counting statistics of stationary particle beams”, J. Math. Phys, 54:4 (2013), 042109
Alexei Borodin, Sylvia Serfaty, “Renormalized Energy Concentration in Random Matrices”, Commun. Math. Phys, 2013
A.I.. Bufetov, “Infinite determinantal measures”, ERA-MS, 20 (2013), 12
Harry Crane, “Permanental Partition Models and Markovian Gibbs Structures”, J Stat Phys, 2013
Debashis Paul, Alexander Aue, “Random matrix theory in statistics: a review”, Journal of Statistical Planning and Inference, 2013
Harry Crane, “Some algebraic identities for the α-permanent”, Linear Algebra and its Applications, 2013
Leonid Petrov, “Asymptotics of random lozenge tilings via Gelfand–Tsetlin schemes”, Probab. Theory Relat. Fields, 2013
V. Kargin, “On Pfaffian Random Point Fields”, J Stat Phys, 2013
Ehrhardt T., Rider B., “Perturbed Toeplitz Operators and Radial Determinantal Processes”, Ann. Inst. Henri Poincare-Probab. Stat., 49:4 (2013), 934–960
Borodin A., Olshanski G., “Markov Dynamics on the Thoma Cone: a Model of Time-Dependent Determinantal Processes with Infinitely Many Particles”, Electron. J. Probab., 18 (2013), 75, 1–43
Lytvynov E., “Determinantal Point Processes with J-Hermitian Correlation Kernels”, Ann. Probab., 41:4 (2013), 2513–2543
Ben Arous G., Bourgade P., “Extreme Gaps Between Eigenvalues of Random Matrices”, Ann. Probab., 41:4 (2013), 2648–2681
Duits M., Geudens D., “A Critical Phenomenon in the Two-Matrix Model in the Quartic/Quadratic Case”, Duke Math. J., 162:8 (2013), 1383–1462
Doering H., Eichelsbacher P., “Moderate Deviations via Cumulants”, J. Theor. Probab., 26:2 (2013), 360–385
Duits M., “Gaussian Free Field in an Interlacing Particle System with Two Jump Rates”, Commun. Pure Appl. Math., 66:4 (2013), 600–643
Osada H., “Interacting Brownian Motions in Infinite Dimensions with Logarithmic Interaction Potentials”, Ann. Probab., 41:1 (2013), 1–49
R.J.. Berman, “Determinantal Point Processes and Fermions on Complex Manifolds: Large Deviations and Bosonization”, Commun. Math. Phys, 2014
Benoît Laslier, F.L.ucio Toninelli, “How quickly can we sample a uniform domino tiling of the
$$2L\times 2L$$
2 L × 2 L square via Glauber dynamics?”, Probab. Theory Relat. Fields, 2014
Duits M., “Painlevé Kernels in Hermitian Matrix Models”, Constr. Approx., 39:1, SI (2014), 173–196
Itaru Nakata, Naoto Miyoshi, “Spatial stochastic models for analysis of heterogeneous cellular networks with repulsively deployed base stations”, Performance Evaluation, 2014
Makoto Katori, “Determinantal martingales and noncolliding diffusion processes”, Stochastic Processes and their Applications, 2014
Manuela Girotti, “Gap Probabilities for the Generalized Bessel Process: A Riemann–Hilbert Approach”, Math Phys Anal Geom, 2014
D. Geudens, L. Zhang, “Transitions Between Critical Kernels: From the Tacnode Kernel and Critical Kernel in the Two-Matrix Model to the Pearcey Kernel”, International Mathematics Research Notices, 2014
P.J.. Forrester, J.L.. Lebowitz, “Local Central Limit Theorem for Determinantal Point Processes”, J Stat Phys, 2014
Manuela Girotti, “Asymptotics of the tacnode process: a transition between the gap probabilities from the tacnode to the Airy process”, Nonlinearity, 27:8 (2014), 1937
Yuta Takahashi, Makoto Katori, “Oscillatory matrix model in Chern–Simons theory and Jacobi-theta determinantal point process”, J. Math. Phys, 55:9 (2014), 093302
Syota Esaki, “Noncolliding system of continuous-time random walks”, Pac. J. Math. Ind, 6:1 (2014)
Makoto Katori, “Elliptic determinantal process of type A”, Probab. Theory Relat. Fields, 2014
Frédéric Lavancier, Jesper Møller, Ege Rubak, “Determinantal point process models and statistical inference”, J. R. Stat. Soc. B, 2014, n/a
Osada H., Tanemura H., “Cores of Dirichlet Forms Related To Random Matrix Theory”, Proc. Jpn. Acad. Ser. A-Math. Sci., 90:10 (2014)
Breuer J., Duits M., “The Nevai Condition and a Local Law of Large Numbers For Orthogonal Polynomial Ensembles”, Adv. Math., 265 (2014), 441–484
Miyoshi N., Shirai T., “A Cellular Network Model With Ginibre Configured Base Stations”, Adv. Appl. Probab., 46:3 (2014), 832–845
Decreusefond L., Flint I., “Moment Formulae For General Point Processes”, J. Funct. Anal., 267:2 (2014), 452–476
Mkrtchyan S., “Entropy of Schur-Weyl Measures”, Ann. Inst. Henri Poincare-Probab. Stat., 50:2 (2014), 678–713
Bertola M., Gekhtman M., Szmigielski J., “Cauchy-Laguerre Two-Matrix Model and the Meijer-G Random Point Field”, Commun. Math. Phys., 326:1 (2014), 111–144
Nagamatsu H., Miyoshi N., Shirai T., “Pade Approximation For Coverage Probability in Cellular Networks”, 12th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, IEEE, 2014, 693–700
Pemantle R., Peres Yu., “Concentration of Lipschitz Functionals of Determinantal and Other Strong Rayleigh Measures”, Comb. Probab. Comput., 23:1 (2014), 140–160
Manuela Girotti, “Riemann–Hilbert approach to gap probabilities for the Bessel process”, Physica D: Nonlinear Phenomena, 295-296 (2015), 103
Makoto Katori, “Determinantal Martingales and Correlations of Noncolliding Random Walks”, J Stat Phys, 2015
A. Martínez-Finkelshtein, R. Orive, E. A. Rakhmanov, “Phase Transitions and Equilibrium Measures in Random Matrix Models”, Commun. Math. Phys, 333:3 (2015), 1109
Michael Baake, Holger Kösters, R.V.. Moody, “Diffraction Theory of Point Processes: Systems with Clumping and Repulsion”, J Stat Phys, 2015
Hardy A., “Average Characteristic Polynomials of Determinantal Point Processes”, Ann. Inst. Henri Poincare-Probab. Stat., 51:1 (2015), 283–303
Petrov L., “Asymptotics of Uniformly Random Lozenge Tilings of Polygons. Gaussian Free Field”, Ann. Probab., 43:1 (2015), 1–43
Ryuichi Honda, Hirofumi Osada, “Infinite-dimensional stochastic differential equations related to Bessel random point fields”, Stochastic Processes and their Applications, 2015
Lei Chen, FuQing Gao, ShaoChen Wang, “Berry-Esseen bounds and Cramér type large deviations for eigenvalues of random matrices”, Sci. China Math, 2015
Hirofumi Osada, Tomoyuki Shirai, “Absolute continuity and singularity of Palm measures of the Ginibre point process”, Probab. Theory Relat. Fields, 2015
Lun Zhang, “Local Universality in Biorthogonal Laguerre Ensembles”, J Stat Phys, 2015
А. И. Буфетов, “О действии группы диффеоморфизмов на детерминантные меры”, УМН, 70:5(425) (2015), 175–176 ; A. I. Bufetov, “Action of the group of diffeomorphisms on determinantal measures”, Russian Math. Surveys, 70:5 (2015), 953–954
А. И. Буфетов, “Бесконечные детерминантные меры и эргодическое разложение бесконечных мер Пикрелла. I. Построение бесконечных детерминантных мер”, Изв. РАН. Сер. матем., 79:6 (2015), 18–64 ; A. I. Bufetov, “Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. I. Construction of infinite determinantal measures”, Izv. Math., 79:6 (2015), 1111–1156
Decreusefond L., Flint I., Vergne A., “a Note on the Simulation of the Ginibre Point Process”, J. Appl. Probab., 52:4 (2015), 1003–1012
Ghosh S., “Determinantal Processes and Completeness of Random Exponentials: the Critical Case”, Probab. Theory Relat. Fields, 163:3-4 (2015), 643–665
Rousselle A., “Recurrence Or Transience of Random Walks on Random Graphs Generated By Point Processes in R-D”, Stochastic Process. Appl., 125:12 (2015), 4351–4374
Papi F., Ba-Ngu Vo, Ba-Tuong Vo, Fantacci C., Beard M., “Generalized Labeled Multi-Bernoulli Approximation of Multi-Object Densities”, IEEE Trans Signal Process., 63:20 (2015), 5487–5497
Flint I., Lu X., Privault N., Niyato D., Wang P., “Performance Analysis of Ambient Rf Energy Harvesting With Repulsive Point Process Modeling”, IEEE Trans. Wirel. Commun., 14:10 (2015), 5402–5416
Aizenman M., Warzel S., “on the Ubiquity of the Cauchy Distribution in Spectral Problems”, Probab. Theory Relat. Fields, 163:1-2 (2015), 61–87
Bothner T., Deift P., Its A., Krasovsky I., “on the Asymptotic Behavior of a Log Gas in the Bulk Scaling Limit in the Presence of a Varying External Potential i”, Commun. Math. Phys., 337:3 (2015), 1397–1463
Bufetov A.I., Qiu Ya., “Equivalence of Palm Measures For Determinantal Point Processes Associated With Hilbert Spaces of Holomorphic Functions”, C. R. Math. Acad. Sci. Paris, 353:6 (2015), 551–555
Chhita S., Johansson K., Young B., “Asymptotic Domino Statistics in the Aztec Diamond”, Ann. Appl. Probab., 25:3 (2015), 1232–1278
Ameur Ya., Hedenmalm H., Makarov N., “Random Normal Matrices and Ward Identities”, Ann. Probab., 43:3 (2015), 1157–1201
Shirai T., “Ginibre-Type Point Processes and Their Asymptotic Behavior”, J. Math. Soc. Japan, 67:2 (2015), 763–787
Miyoshi N., Shirai T., “Downlink coverage probability in a cellular network with Ginibre deployed base stations and Nakagami-m fading channels”, 2015 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt) (Mumbai, India), IEEE, 2015, 483–489
Adhikari K., Reddy N.K., Reddy T.R., Saha K., “Determinantal Point Processes in the Plane From Products of Random Matrices”, Ann. Inst. Henri Poincaré Probab. Stat., 52:1 (2016), 16–46
Osada H., Tanemura H., “Strong Markov Property of Determinantal Processes With Extended Kernels”, Stochastic Process. Appl., 126:1 (2016), 186–208
А. И. Буфетов, “Бесконечные детерминантные меры и эргодическое разложение бесконечных мер Пикрелла. II. Сходимость бесконечных детерминантных мер”, Изв. РАН. Сер. матем., 80:2 (2016), 16–32 ; A. I. Bufetov, “Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. II. Convergence of infinite determinantal measures”, Izv. Math., 80:2 (2016), 299–315
Peter Eichelsbacher, Thomas Kriecherbauer, Katharina Schüler, “Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail”, SIGMA, 12 (2016), 093, 18 pp.
Biscio Christophe Ange Napoleon, Lavancier F., “Quantifying repulsiveness of determinantal point processes”, Bernoulli, 22:4 (2016), 2001–2028
Heinrich L., “On the strong Brillinger-mixing property of α-determinantal point processes and some applications”, Appl. Mat., 61:4 (2016), 443–461
Lu X., Flint I., Niyato D., Privault N., Wang P., “Self-Sustainable Communications With RF Energy Harvesting: Ginibre Point Process Modeling and Analysis”, IEEE J. Sel. Areas Commun., 34:5 (2016), 1518–1535
Imamura T., Sasamoto T., “Determinantal Structures in the O'Connell-Yor Directed Random Polymer Model”, J. Stat. Phys., 163:4 (2016), 675–713
Lyons R., Thom A., “Invariant coupling of determinantal measures on sofic groups”, Ergod. Theory Dyn. Syst., 36:2 (2016), 574–607
Bufetov A.I., “Rigidity of determinantal point processes with the Airy, the Bessel and the Gamma kernel”, Bull. Math. Sci., 6:1 (2016), 163–172
Liechty K., Wang D., “Nonintersecting Brownian motions on the unit circle”, Ann. Probab., 44:2 (2016), 1134–1211
Breuer J., Duits M., “Universality of Mesoscopic Fluctuations for Orthogonal Polynomial Ensembles”, Commun. Math. Phys., 342:2 (2016), 491–531
Huesmann M., “Transport cost estimates for random measures in dimension one”, Electron. Commun. Probab., 21 (2016), 46
Decreusefond L., Flint I., Privault N., Torrisi G.L., “Determinantal Point Processes”, Stochastic Analysis for Poisson Point Processes, Bocconi & Springer Series, eds. Peccati G., Reitzner M., Springer Int Publishing Ag, 2016, 311–342
Beltran C., Marzo J., Ortega-Cerda J., “Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres”, J. Complex., 37 (2016), 76–109
Biscio Ch.A.N., Coeurjolly J.-F., “Standard and robust intensity parameter estimation for stationary determinantal point processes”, Spat. Stat., 18:A, SI (2016), 24–39
Liu D.-Zh., Wang D., Zhang L., “Bulk and soft-edge universality for singular values of products of Ginibre random matrices”, Ann. Inst. Henri Poincare-Probab. Stat., 52:4 (2016), 1734–1762
Miyoshi N., Shirai T., “Spatial Modeling and Analysis of Cellular Networks Using the Ginibre Point Process: A Tutorial”, IEICE Trans. Commun., E99B:11 (2016), 2247–2255
Bufetov A.I. Qiu Ya., “The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures”, Ark. Mat., 54:2 (2016), 403–435
Blower G., Chen Ya., “Kernels and point processes associated with Whittaker functions”, J. Math. Phys., 57:9 (2016), 093505
Ghosh S., Krishnapur M., Peres Yu., “Continuum percolation for Gaussian zeroes and Ginibre eigenvalues”, Ann. Probab., 44:5 (2016), 3357–3384
Biscio Ch.A.N., Lavancier F., “Brillinger mixing of determinantal point processes and statistical applications”, Electron. J. Stat., 10:1 (2016), 582–607
Maunoury F., “Necessary and Sufficient Conditions For the Existence of Alpha-Determinantal Processes”, Seminaire de Probabilites Xlviii, Lect. Notes Math., Lecture Notes in Mathematics, 2168, eds. DonatiMartin C., Lejay A., Rouault A., Springer Int Publishing Ag, 2016, 423–444
Zabini F., Conti A., “Ginibre Sampling and Signal Reconstruction”, 2016 IEEE International Symposium on Information Theory, IEEE International Symposium on Information Theory, IEEE, 2016, 865–869
Hofer-Temmel Ch., “Shearer's point process, the hard-sphere model, and a continuum Lovász local lemma”, Adv. Appl. Probab., 49:1 (2017), 1–23
Biscio Christophe Ange Napoleon, Lavancier F., “Contrast Estimation for Parametric Stationary Determinantal Point Processes”, Scand. J. Stat., 44:1 (2017), 204–229
Breuer J., Duits M., “Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients”, J. Am. Math. Soc., 30:1 (2017), 27–66
А. И. Буфетов, “Иерархия Пальма для детерминантных точечных процессов с ядром Бесселя”, Порядок и хаос в динамических системах, Сборник статей. К 80-летию со дня рождения академика Дмитрия Викторовича Аносова, Тр. МИАН, 297, МАИК «Наука/Интерпериодика», М., 2017, 105–112 ; Alexander I. Bufetov, “A Palm hierarchy for determinantal point processes with the Bessel kernel”, Proc. Steklov Inst. Math., 297 (2017), 90–97
Ghosh S., Lebowitz J.L., “Fluctuations, Large Deviations and Rigidity in Hyperuniform Systems: a Brief Survey”, Indian J. Pure Appl. Math., 48:4 (2017), 609–631
Flandrin P., “On Spectrogram Local Maxima”, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (Icassp), International Conference on Acoustics Speech and Signal Processing Icassp, IEEE, 2017, 3979–3983
Chhita S., Ferrari P.L., “A Combinatorial Identity For the Speed of Growth in An Anisotropic Kpz Model”, Ann. Inst. Henri Poincare D, 4:4 (2017), 453–477
Qiu Ya., “Infinite Random Matrices & Ergodic Decomposition of Finite and Infinite Hua-Pickrell Measures”, Adv. Math., 308 (2017), 1209–1268
Torris G.L., “Probability Approximation of Point Processes With Papangelou Conditional Intensity”, Bernoulli, 23:4A (2017), 2210–2256
Borodin A., Olshanski G., “The Asep and Determinantal Point Processes”, Commun. Math. Phys., 353:2 (2017), 853–903
Bufetov A.I., Qiu Ya., “Conditional Measures of Generalized Ginibre Point Processes”, J. Funct. Anal., 272:11 (2017), 4671–4708
Charlier Ch., Claeys T., “Thinning and Conditioning of the Circular Unitary Ensemble”, Random Matrices-Theor. Appl., 6:2 (2017), 1750007
Abreu L.D., Pereira J.M., Romero J.L., Torquato S., “The Weyl-Heisenberg Ensemble: Hyperuniformity and Higher Landau Levels”, J. Stat. Mech.-Theory Exp., 2017, 043103
Ghosh S., Peres Yu., “Rigidity and Tolerance in Point Processes: Gaussian Zeros and Ginibre Eigenvalues”, Duke Math. J., 166:10 (2017), 1789–1858
Orr D., Petrov L., “Stochastic Higher Spin Six Vertex Model and Q-Taseps”, Adv. Math., 317 (2017), 473–525
Ioffe D., Velenik Y., Wachtel V., “Dyson Ferrari-Spohn Diffusions and Ordered Walks Under Area Tilts”, Probab. Theory Relat. Field, 170:1-2 (2018), 11–47
Ameur Ya., Seo S.-M., “On Bulk Singularities in the Random Normal Matrix Model”, Constr. Approx., 47:1, SI (2018), 3–37
Osada H., Osada Sh., “Discrete Approximations of Determinantal Point Processes on Continuous Spaces: Tree Representations and Tail Triviality”, J. Stat. Phys., 170:2 (2018), 421–435
Sodin S., “On the Critical Points of Random Matrix Characteristic Polynomials and of the Riemann Xi-Function”, Q. J. Math., 69:1 (2018), 183–210
Lambert G., “Mesoscopic Fluctuations For Unitary Invariant Ensembles”, Electron. J. Probab., 23 (2018), 7
Cunden F.D., Mezzadri F., O'Connell N., “Free Fermions and the Classical Compact Groups”, J. Stat. Phys., 171:5 (2018), 768–801
Bufetov A.I. Qiu Ya., “J-Hermitian Determinantal Point Processes: Balanced Rigidity and Balanced Palm Equivalence”, Math. Ann., 371:1-2 (2018), 127–188
Johansson K., Lambert G., “Gaussian and Non-Gaussian Fluctuations For Mesoscopic Linear Statistics in Determinantal Processes”, Ann. Probab., 46:3 (2018), 1201–1278
Duits M., “On Global Fluctuations For Non-Colliding Processes”, Ann. Probab., 46:3 (2018), 1279–1350
Lambert G., Ostrovsky D., Simm N., “Subcritical Multiplicative Chaos For Regularized Counting Statistics From Random Matrix Theory”, Commun. Math. Phys., 360:1 (2018), 1–54
Claeys T., Doeraene A., “The Generating Function For the Airy Point Process and a System of Coupled Painlevé II Equations”, Stud. Appl. Math., 140:4 (2018), 403–437
Lambert G., “Limit Theorems For Biorthogonal Ensembles and Related Combinatorial Identities”, Adv. Math., 329 (2018), 590–648
Bufetov A.I., “Quasi-Symmetries of Determinantal Point Processes”, Ann. Probab., 46:2 (2018), 956–1003
Dai D., Xu Sh.-X., Zhang L., “Gap Probability At the Hard Edge For Random Matrix Ensembles With Pole Singularities in the Potential”, SIAM J. Math. Anal., 50:2 (2018), 2233–2279
Kargin V., “A 3D Ginibre Point Field”, J. Stat. Phys., 171:6 (2018), 1067–1095
Duits M., Johansson K., “On Mesoscopic Equilibrium For Linear Statistics in Dyson'S Brownian Motion”, Mem. Am. Math. Soc., 255:1222 (2018), 1+
Kawamoto Y., Osada H., “Finite-Particle Approximations For Interacting Brownian Particles With Logarithmic Potentials”, J. Math. Soc. Jpn., 70:3 (2018), 921–952
Bufetov I A., Dabrowski Y., Qiu Ya., “Linear Rigidity of Stationary Stochastic Processes”, Ergod. Theory Dyn. Syst., 38:7 (2018), 2493–2507
Ioffe D., Veleniky Y., “Low-Temperature Interfaces: Prewetting, Layering, Faceting and Ferrari - Spohn Diffusions”, Markov Process. Relat. Fields, 24:3 (2018), 487–537
Jacobsen R.D., Moller J., Nielsen M., Rasmussen M.G., “Investigations of the Effects of Random Sampling Schemes on the Stability of Generalized Sampling”, Appl. Comput. Harmon. Anal., 45:2 (2018), 453–461
Hardy A., “Polynomial Ensembles and Recurrence Coefficients”, Constr. Approx., 48:1, SI (2018), 137–162
Beltran C., Etayo U., “The Projective Ensemble and Distribution of Points in Odd-Dimensional Spheres”, Constr. Approx., 48:1, SI (2018), 163–182
Torquato S., “Hyperuniform States of Matter”, Phys. Rep.-Rev. Sec. Phys. Lett., 745 (2018), 1–95
Bufetov A.I., Fan Sh., Qiu Ya., “Equivalence of Palm Measures For Determinantal Point Processes Governed By Bergman Kernels”, Probab. Theory Relat. Field, 172:1-2 (2018), 31–69
Bothner T., Deift P., Its A., Krasovsky I., “The Sine Process Under the Influence of a Varying Potential”, J. Math. Phys., 59:9, SI (2018), 091414
Dettmann C.P., Georgiou O., Pratt P., “Spatial Networks With Wireless Applications”, C. R. Phys., 19:4 (2018), 187–204
Reda Ch., Joseph N., “Rigidity of the Sine(Beta) Process”, Electron. Commun. Probab., 23 (2018), 94
Loonis V., Mary X., “Determinantal Sampling Designs”, J. Stat. Plan. Infer., 199 (2019), 60–88
Ghosh S., Nishry A., “Gaussian Complex Zeros on the Hole Event: the Emergence of a Forbidden Region”, Commun. Pure Appl. Math., 72:1 (2019), 3–62
Qiu Ya., “Rigid Stationary Determinantal Processes in Non-Archimedean Fields”, Bernoulli, 25:1 (2019), 75–88
Bufetov A.I. Dymov A.V., “A Functional Limit Theorem For the Sine-Process”, Int. Math. Res. Notices, 2019, no. 1, 249–319
Jiang T., Qi Y., “Empirical Distributions of Eigenvalues of Product Ensembles”, J. Theor. Probab., 32:1 (2019), 353–394
Katori M., “Macdonald Denominators For Affine Root Systems, Orthogonal Theta Functions, and Elliptic Determinantal Point Processes”, J. Math. Phys., 60:1 (2019), 013301
Cunden F.D., Majumdar S.N., O'Connell N., “Free Fermions and Alpha-Determinantal Processes”, J. Phys. A-Math. Theor., 52:16 (2019), 165202
Qiu Ya., “A Rigidity Property of Superpositions Involving Determinantal Processes”, Stoch. Process. Their Appl., 129:4 (2019), 1371–1378
Kawamoto Y., Osada H., “Dynamical Bulk Scaling Limit of Gaussian Unitary Ensembles and Stochastic Differential Equation Gaps”, J. Theor. Probab., 32:2 (2019), 907–933
Ameur Ya., Kang N.-G., Makarov N., “Rescaling Ward Identities in the Random Normal Matrix Model”, Constr. Approx., 50:1 (2019), 63–127
Poinas A., Delyon B., Lavancier F., “Mixing Properties and Central Limit Theorem For Associated Point Processes”, Bernoulli, 25:3 (2019), 1724–1754
Imamura T., Sasamoto T., “Fluctuations For Stationary Q-Tasep”, Probab. Theory Relat. Field, 174:1-2 (2019), 647–730
Bufetov A.I. Dymov A.V. Osada H., “The Logarithmic Derivative For Point Processes With Equivalent Palm Measures”, J. Math. Soc. Jpn., 71:2 (2019), 451–469
Last G., Szekli R., “On Negative Association of Some Finite Point Processes on General State Spaces”, J. Appl. Probab., 56:1 (2019), 139–152
Haimi A. Wennman A., “A Central Limit Theorem For Fluctuations in Polyanalytic Ginibre Ensembles”, Int. Math. Res. Notices, 2019, no. 5, 1350–1372
Ueki N., “Asymptotic Behavior of the Integrated Density of States For Random Point Fields Associated With Certain Fredholm Determinants”, Kyushu J. Math., 73:1 (2019), 43–67
Theodoros Assiotis, “Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices”, SIGMA, 15 (2019), 067, 24 pp.
А. И. Буфетов, “Условные меры детерминантных точечных процессов”, Функц. анализ и его прил., 54:1 (2020), 11–28

Просмотров:
Эта страница:	1490
Полный текст:	399
Литература:	50
Первая стр.:	1

Что такое QR-код?

Обратная связь:

Пользовательское соглашение

Регистрация

Логотипы