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Эта публикация цитируется в 287 научных статьях (всего в 287 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
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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
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