A. I. Bufetov, A. V. Klimenko, M. I. Khristoforov, “Cesàro convergence of spherical averages for Markov groups and semigroups”, Russian Math. Surveys, 66:3 (2011), 633–634
A. I. Bufetov, “On the Vershik–Kerov conjecture concerning the entropy of the Plancherel measure”, Russian Math. Surveys, 65:1 (2010), 175–176
A. I. Bufetov, “Hölder cocycles and ergodic integrals for translation flows on flat surfaces”, Electron. Res. Announc. Math. Sci., 17 (2010), 34–42
A. I. Bufetov, “Decay of correlations for the Rauzy–Veech–Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of abelian differentials”, J. Amer. Math. Soc., 19:3 (2006), 579–623
A. I. Bufetov, “Convergence of spherical averages for actions of free groups”, Ann. of Math. (2), 155:3 (2002), 929–944
A. I. Bufetov, S. M. Gorbunov, Mat. Sb. (to appear)
2026
2.
A. I. Bufetov, “Decay of correlations for multiplicative functionals of determinantal point processes”, Funktsional. Anal. i Prilozhen., 60:4 (2026) (to appear)
2025
3.
Alexander Bufetov, “The speed of convergence under the Kolmogorov–Smirnov metric in the Soshnikov central limit theorem for the sine process”, Funct. Anal. Appl., 59:2 (2025), 114–118
2026
4.
A. I. Bufetov, “Uniform continuity for Borel transformations of the space of measures”, Theory Probab. Appl., 70:4 (2026), 540–547
2025
5.
Alexander I. Bufetov, Ilya I. Zavolokin, “On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle”, Regul. Chaotic Dyn., 30:4 (2025), 566–581
6.
A. I. Bufetov, “Positive cone of random measures”, Russian Math. Surveys, 80:6 (2025), 1106–1108
7.
A. I. Bufetov, P. Lazag, “A determinantal point process governed by an integrable projection kernel is Giambelli compatible”, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5), 26:1 (2025), 525–559
8.
Alexander I. Bufetov, Juan Marshall-Maldonado, Boris Solomyak, “Local spectral estimates and quantitative weakmixing for substitution $\mathbb Z$-actions”, J. London Math. Soc., 111:4 (2025), 70136, 30 pp.
Alexander I. Bufetov, Yosuke Kawamoto, “The intertwining property for Laguerre processes with a fixed parameter”, J. Stat. Phys., 192 (2025), 58, 17 pp.
T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357
11.
A. I. Bufetov, Mat. Pros., 34, MCCME, Moscow, 2025, 164–166
2024
12.
Alexander I. Bufetov, Gabriel Nivasch, Fedor Pakhomov, “Generalized fusible numbers and their ordinals”, Ann. Pure Appl. Logic, 175 (2024), 103355, 25 pp.
A. I. Bufetov, “The expectation of a multiplicative functional under the sine-process”, Funct. Anal. Appl., 58:2 (2024), 120–128
14.
A. I. Bufetov, I. A. Ibragimov, M. A. Lifshits, A. V. Malyutin, F. V. Petrov, N. V. Smorodina, A. N. Shiryaev, Yu. V. Yakubovich, “In memory of A. M. Vershik (28.12.1933 – 14.02.2024)”, Theory Probab. Appl., 69:2 (2024), 331–335
2023
15.
A. I. Bufetov, A. V. Klimenko, C. Series, “An ergodic theorem for actions of Fuchsian groups”, Russian Math. Surveys, 78:3 (2023), 566–568
16.
A. I. Bufetov, “Gaussian multiplicative chaos for the sine-process”, Russian Math. Surveys, 78:6 (2023), 1155–1157
2024
17.
A. I. Bufetov, “A Palm hierarchy for the decomposing measure in the problem of harmonic analysis on the infinite-dimensional unitary group, the determinantal point process with the confluent hypergeometric kernel”, St. Petersburg Math. J., 35:5 (2024), 769–785
2023
18.
Alexander I. Bufetov, Alexey Klimenko, Caroline Series, “Convergence of spherical averages for actions of Fuchsian groups”, Comment. Math. Helv., 98:1 (2023), 41–134, arXiv: 1805.11743
A. I. Bufetov, “Sub-Poissonian estimates for exponential moments of additive functionals over pairs of particles with respect to determinantal and symplectic Pfaffian point processes governed by entire functions”, Mosc. Math. J., 23:4 (2023), 463–478
Alexander I. Bufetov, Boris Solomyak, “Corrigendum to “Hölder regularity for the spectrum of translation flows””, J. Éc. Polytech., Math., 9 (2022), 1513–1514
23.
Alexander I. Bufetov, Grigori Olshanski, “A hierarchy of Palm measures for determinantal point processes with gamma kernels”, Studia Math., 267 (2022), 121–160, arXiv: 1904.13371
Alexander I. Bufetov, Yanqi Qiu, “The Patterson–Sullivan reconstruction of pluriharmonic functions for determinantal point processes on complex hyperbolic spaces”, Geom. Funct. Anal., 32:2 (2022), 135–192
Sergey Berezin, Alexander I. Bufetov, “On the rate of convergence in the central limit theorem for linear statistics of Gaussian, Laguerre, and Jacobi ensembles”, Pure Appl. Funct. Anal., 6:1 (2021), 57–99, arXiv: 1904.09685
Alexander I. Bufetov, Boris Solomyak, “Hölder regularity for the spectrum of translation flows”, J. Éc. Polytech., Math., 8 (2021), 279–310, arXiv: 1908.09347
Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu, “Conditional measures for Pfaffian point processes: conditioning on a bounded domain”, Ann. Inst. H. Poincaré Probab. Statist., 57:2 (2021), 856–871, arXiv: 1912.10743
A. I. Bufetov, Y. Qiu, A. Shamov, “Kernels of conditional determinantal measures and the Lyons–Peres completeness conjecture”, J. Eur. Math. Soc. (JEMS), 23:5 (2021), 1477–1519
A. I. Bufetov, “Conditional measures of determinantal point processes”, Funct. Anal. Appl., 54:1 (2020), 7–20
30.
Alexander I. Bufetov, Alexey Klimenko, Caroline Series, “A symmetric Markov coding and the ergodic theorem for actions of Fuchsian Groups”, Mathematics Research Reports, 1 (2020), 5–14
31.
A. I. Bufetov, B. M. Solomyak, “A spectral cocycle for substitution systems and translation flows”, J. Analyse Math., 141:1 (2020), 165–205
Alexander I. Bufetov, Andrey V. Dymov, “A functional limit theorem for the sine-process”, Int. Math. Res. Not. IMRN, 2019:1 (2019), 249–319, arXiv: 1701.00111
Alexander I. Bufetov, Andrey V. Dymov, Hirofumi Osada, “The logarithmic derivative for point processes with equivalent Palm measures”, J. Math. Soc. Japan, 71:2 (2019), 451–469, arXiv: 1707.01773
A. M. Borodin, Aleksandr I. Bufetov, Aleksei I. Bufetov, A. M. Vershik, V. E. Gorin, A. I. Molev, V. F. Molchanov, R. S. Ismagilov, A. A. Kirillov, M. L. Nazarov, Yu. A. Neretin, N. I. Nessonov, A. Yu. Okounkov, L. A. Petrov, S. M. Khoroshkin, “Grigori Iosifovich Olshanski (on his 70th birthday)”, Russian Math. Surveys, 74:3 (2019), 555–577
37.
A. Bufetov, A. Glutsyuk, N. Goncharuk, S. Gusein-Zade, Yu. Kudryashov, S. Lando, A. Sosinskii, V. Timorin, M. Tsfasman, “Yuliyu Sergeevichu Ilyashenko — 75”, Mosc. Math. J., 19:2 (2019), 185–188
2018
38.
Alexander I. Bufetov, Yoann Dabrowski, Yanqi Qiu, “Linear rigidity of stationary stochastic processes”, Ergodic Theory Dyn. Syst., 38:7 (2018), 2493–2507
Alexander I. Bufetov, Boris Solomyak, “The Hölder property for the spectrum of translation flows in genus two”, Israel J. Math., 223:1 (2018), 205–259, arXiv: 1501.05150
Alexander I. Bufetov, Shilei Fan, Yanqi Qiu, “Equivalence of Palm measures for determinantal point processes governed by Bergman kernels”, Probab. Theory Relat. Fields, 172:1 (2018), 31–69
A. I. Bufetov, Tomoyuki Shirai, “Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces”, Proc. Japan Acad. Ser. A Math. Sci., 93:1 (2017), 1–5
Alexander I. Bufetov, Yanqi Qiu, “Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields”, Compositio Math., 153:12 (2017), 2482–2533, arXiv: 1605.09600v1
A. I. Bufetov, “Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III. The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures”, Izv. Math., 80:6 (2016), 1035–1056
50.
Vítor Araújo, Alexander I. Bufetov, Simion Filip, “On Hölder-continuity of Oseledets subspaces”, J. London Math. Soc., 93:1 (2016), 194–218
Lewis Bowen, Alexander Bufetov, Olga Romaskevich, “Mean convergence of Markovian spherical averages for measure-preserving actions of the free group”, Geom. Dedicata, 181:1 (2016), 293–306
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
53.
Alexander I. Bufetov, “Rigidity of determinantal point processes with the Airy, the Bessel and the Gamma kernel”, Bull. Math. Sci., 6:1 (2016), 163–172
Alexander I. Bufetov, Yanqi Qiu, “The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures”, Ark. Mat., 54:2 (2016), 403–435
A. I. Bufetov, A. Ya. Kanel-Belov, “Live Mathematics: on Preparing for Olympiads”, Math. Ed., 2016, no. 2(78), 2–10
2015
56.
Alexander I. Bufetov, Yanqi Qiu, “Equivalence of Palm measures for determinantal point processes associated with Hilbert spaces of holomorphic functions [Équivalence de measures de Palm pour les processus déterminantaux associés aux espaces de Hilbert des fonctions holomorphes]”, C. R. Math. Acad. Sci. Paris, 353:6 (2015), 551–555
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
58.
A. I. Bufetov, “Action of the group of diffeomorphisms on determinantal measures”, Russian Math. Surveys, 70:5 (2015), 953–954
2014
59.
A. I. Bufetov, “Ergodic decomposition for measures quasi-invariant under a Borel action of an inductively compact group”, Sb. Math., 205:2 (2014), 192–219
60.
A. I. Bufetov, “Limit theorems for translation flows”, Ann. of Math. (2), 179:2 (2014), 431–499
Alexander I. Bufetov, “Finiteness of Ergodic Unitarily Invariant Measures on Spaces of Infinite Matrices”, Ann. Inst. Fourier (Grenoble), 64:3 (2014), 893–907, arXiv: 1108.2737
X. Bressaud, A. I. Bufetov, P. Hubert, “Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1”, Proc. London Math. Soc., 109:2 (2014), 483–522
66.
A. I. Bufetov, B. M. Gurevich, K. M. Khanin, F. Cellarosi, “The Abel Prize award to Ya. G. Sinai”, Russian Math. Surveys, 69:5 (2014), 931–956
67.
A. I. Bufetov, A. A. Glutsyuk, S. M. Gusein-Zade, A. S. Gorodetski, V. Yu. Kaloshin, A. G. Khovanskii, V. A. Kleptsyn, S. Yu. Nemirovskii, A. B. Sossinsky, M. A. Tsfasman, V. A. Vassiliev, S. Yu. Yakovenko, “Yulij Sergeevich Ilyashenko”, Mosc. Math. J., 14:2 (2014), 173–179
2013
68.
A. I. Bufetov, “Infinite determinantal measures”, Electron. Res. Announc. Math. Sci., 20 (2013), 12–30, arXiv: 1207.6793
A. I. Bufetov, “Limit theorems for suspension flows over Vershik automorphisms”, Russian Math. Surveys, 68:5 (2013), 789–860
70.
A. Bufetov, S. Mkrtchyan, M. Shcherbina, A. Soshnikov, “Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles”, J. Stat. Phys., 152:1 (2013), 1–14
D. Anosov, L. Bartholdi, A. Bufetov, T. Ceccherini-Silberstein, A. Erschler, M. Gromov, P. de la Harpe, Yu. Ilyashenko, A. Klimenko, T. Nagnibeda, V. Nekrashevych, Ya. Sinai, A. Stepin, E. Zelmanov, “Rostislav Ivanovich Grigorchuk”, Mosc. Math. J., 13:4 (2013), 733–734
2012
73.
A. Bufetov, B. Solomyak, Limit theorems for self-similar tilings, 2012, 36 pp., arXiv: 1201.6092
74.
A. I. Bufetov, “Multiplicative functionals of determinantal processes”, Russian Math. Surveys, 67:1 (2012), 181–182
75.
A. I. Bufetov, A. V. Klimenko, “Maximal inequality and ergodic theorems for Markov groups”, Proc. Steklov Inst. Math., 277 (2012), 27–42
76.
A. I. Bufetov, A. V. Klimenko, “On Markov operators and ergodic theorems for group actions”, European J. Combin., 33:7 (2012), 1427–1443
A. I. Bufetov, M. Khristoforov, A. Klimenko, “Cesàro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups”, Int. Math. Res. Not. IMRN, 2012:21 (2012), 4797–4829, arXiv: 1101.5459 (First published online: October 25, 2011)
J. Athreya, A. Bufetov, A. Eskin, M. Mirzakhani, “Lattice point asymptotics and volume growth on Teichmüller space”, Duke Math. J., 161:6 (2012), 1055–1111, arXiv: math/0610715
A. 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., 22:4 (2012), 938–975, arXiv: 1001.4275
A. Bufetov, G. Forni, Limit Theorems for Horocycle Flows, 2011, 52 pp., arXiv: 1104.4502
81.
A. I. Bufetov, Ergodic Decomposition for Measures Quasi-Invariant Under Borel Actions of Inductively Compact Groups, 2011, 31 pp., arXiv: 1105.0664
82.
X. Bressaud, A. Bufetov, P. Hubert, Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus one, 2011, 49 pp., arXiv: 1106.2666
83.
A. I. Bufetov, A. V. Klimenko, M. I. Khristoforov, “Cesàro convergence of spherical averages for Markov groups and semigroups”, Russian Math. Surveys, 66:3 (2011), 633–634
84.
A. I. Bufetov, B. M. Gurevich, “Existence and uniqueness of the measure of maximal entropy for the Teichmüller flow on the moduli space of Abelian differentials”, Sb. Math., 202:7 (2011), 935–970
85.
V. Araújo, A. I. Bufetov, “A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials”, Ergodic Theory Dynam. Systems, 31:4 (2011), 1043–1071, arXiv: 0812.1397
A. I. Bufetov, “Ergodic integrals of translation flows on flat surfaces”, Russian Math. Surveys, 65:6 (2010), 1173–1174
88.
A. I. Bufetov, “On the Vershik–Kerov conjecture concerning the entropy of the Plancherel measure”, Russian Math. Surveys, 65:1 (2010), 175–176
89.
A. I. Bufetov, “Hölder cocycles and ergodic integrals for translation flows on flat surfaces”, Electron. Res. Announc. Math. Sci., 17 (2010), 34–42
2009
90.
A. I. Bufetov, Finitely-additive measures on the asymptotic foliations of a Markov compactum, 2009, 29 pp., arXiv: 0902.3303
91.
Alexander I. Bufetov, “Logarithmic asymptotics for the number of periodic orbits of the Teichmüller flow on Veech's space of zippered rectangles”, Mosc. Math. J., 9:2 (2009), 245–261
A. I. Bufetov, Suspension Flows over Vershik's Automorphisms, 2008, 24 pp., arXiv: 0804.3970
93.
A. I. Bufetov, B. M. Gurevich, “On the Measure with Maximal Entropy for the Teichmüller Flow on the Moduli Space of Abelian Differentials”, Funct. Anal. Appl., 42:3 (2008), 224–226
2007
94.
A. Avila, A. Bufetov, “Exponential decay of correlations for the Rauzy–Veech–Zorich induction map”, Partially hyperbolic dynamics, laminations, and Teichmüller flow, Fields Inst. Commun., 51, Amer. Math. Soc., Providence, RI, 2007, 203–211
2006
95.
A. Bufetov, Y. G. Sinai, C. Ulcigrai, “A condition for continuous spectrum of an interval exchange transformation”, Representation theory, dynamical systems, and asymptotic combinatorics, Amer. Math. Soc. Transl. Ser. 2, 217, Amer. Math. Soc., Providence, RI, 2006, 23–35
96.
A. I. Bufetov, “Decay of correlations for the Rauzy–Veech–Zorich induction map on the space of interval exchange transformations and the central limit theorem for the Teichmüller flow on the moduli space of abelian differentials”, J. Amer. Math. Soc., 19:3 (2006), 579–623
A. I. Bufetov, “Ergodic theorems for actions of certain maps”, Russian Math. Surveys, 54:4 (1999), 835–836
1997
103.
A. Bufetov, A. Ya. Kanel', “The new elementary solution of the Waring problem”, Fundam. Prikl. Mat., 3:4 (1997), 1239–1252
Presentations in Math-Net.Ru
1.
Point processes and multiplicative chaos A. I. Bufetov International Conference "New Horizons in Mathematical Physics" dedicated to the 80th anniversary of I. V. Volovich October 9, 2026 18:30
Kolmogorov's axioms A. I. Bufetov XXXVII Crimean Autumn Mathematical Conference-School in Memory of N. D. Kopachevsky on Spectral and Evolutionary Problems September 8, 2026 10:10
Determinantal Point Processes. Lecture 2 A. I. Bufetov Summer School "Mathematical Foundations of Artificial Intelligence". Southern Federal University. Rostov-on-Don August 26, 2026 12:40
15.
Determinantal Point Processes. Lecture 1 A. I. Bufetov Summer School "Mathematical Foundations of Artificial Intelligence". Southern Federal University. Rostov-on-Don August 26, 2026 11:45
16.
Логика стоиков в школе A. I. Bufetov VI Conference of Mathematical Centers of Russia August 17, 2026 19:00