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Alexander I. Bufetov
office: Department of Differential Equations The Steklov Institute of Mathematics Gubkina str. 8 119991 Moscow RUSSIA home: 34-2-102 Musa Jalil Street 115573 Moscow RUSSIA email: bufetov@mi.ras.ru

Publications A. Bufetov, On the Vershik-Kerov Conjecture Concerning the Shannon-Macmillan-Breiman Theorem for the Plancherel Family of Measures on the Space of Young Diagrams, to appear in GAFA. A. Bufetov, M. Khristoforov, A. Klimenko Cesaro convergence of spherical averages for measure-preserving actions of Markov semigroups and groups, to appear in IMRN. A.Bufetov, B.M. Gurevich, Existence and Uniqueness of the Measure of Maximal Entropy for the Teichmueller Flow on the Moduli Space of Abelian Differentials, Matematicheskij Sbornik, 202:7 (2011), pp. 3 - 42. V. Araujo, A.Bufetov, A large deviations bound for the Teichmueller flow, Ergodic Theory and Dynamical Systems, volume 31, issue 04, pp. 1043 ­ 1071. Alexander I. Bufetov, Caroline Series, A pointwise ergodic theorem for Fuchsian groups, Mathematical Proceedings of the Cambridge Philosophical Society, 2011, volume 151, issue 01, pp. 145 ­ 159. Alexander I. Bufetov, Finiteness of Ergodic Unitarily Invariant Measures on Spaces of Infinite Matrices, arxiv.org, Aug. 2011. Alexander I. Bufetov, Ergodic Decomposition for Measures Quasi-Invariant Under Borel Actions of Inductively Compact Groups, www.arxiv.org, May 2011. Alexander I. Bufetov and Giovanni Forni, Limit Theorems for Horocycle Flows, www.arxiv.org, April 2011. Bufetov, A. I. Ergodic integrals of translation flows on flat surfaces. (Russian) Uspekhi Mat. Nauk 65 (2010), no. 6, 181­182. Bufetov, Alexander I. Hoelder cocycles and ergodic integrals for translation flows on flat surfaces. Electron. Res. Announc. Math. Sci. 17 (2010), 3442 Alexander I. Bufetov Limit Theorems for Translation Flows, www.arxiv.org, March 2010. A. Bufetov, On the Vershik-Kerov conjecture concerning the entropy of the Plancherel measure, Russian Mathematical Surveys, vol. 65 (2010), no.1. A. Bufetov, Finitely-additive measures on the asymptotic foliations of a Markov compactum, preprint, www.arxiv.org, 2009. A.Bufetov, Suspension flows over Vershik's automorphisms, www.arxiv.org, 2008. J. Athreya, A. Bufetov, A. Eskin, M. Mirzakhani, Lattice Point Asymptotics and Volume Growth on Teichmueller space, www.arxiv.org, 2008. A.Bufetov, Logarithmic asymptotics for the number of periodic orbits of the Teichmueller flow on Veech's space of zippered rectangles, The Moscow Mathematical Journal, 9(2009), no.2, p.17-39. A. Bufetov; B.M. Gurevich On a measure with maximum entropy for the Teichmueller flow on the moduli space of abelian differentials. (Russian) Funktsional. Anal. i Prilozhen. 42 (2008), no. 3, 75­77; translation in Funct. Anal. Appl. 42 (2008), no. 3, 224­226


Alexander I. Bufetov

A. Avila, A.Bufetov, Exponential decay of correlations for the Rauzy-Veech-Zorich induction map, Fields Institute Communications, vol. 51, 2007. A. 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 Teichmuller flow Ё on the moduli space of abelian differentials, Journal of the American Mathematical Society, 19 (2006), 579­623. A. Bufetov, Pointwise convergence of spherical averages for actions of free groups, Annals of Mathematics, 155 (2002), no.3, 929-944. A.Bufetov, Operator ergodic theorems for actions of free semigroups and groups, Functional Analysis and its Applications, 34(2000), no.4, 239-251. A. Bufetov, Ergodic theorems for actions of several mappings, Russian Mathematical Surveys, 54(1999), no.4, 835-836. A.Bufetov, Topological entropy of free semigroup actions and skew-product transformations, J.Dynam. Control Systems, 5(1999), no.1, 137-143.