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Found 82 Documents (Results 1–82)

Ergodicity and totality of partitions associated with the RSK correspondence. (English. Russian original) Zbl 1475.05171

Funct. Anal. Appl. 55, No. 1, 26-33 (2021); translation from Funkts. Anal. Prilozh. 55, No. 1, 33-42 (2021).
MSC:  05E10 28D05 60C05
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Combinatorial invariants of metric filtrations and automorphisms; the universal adic graph. (English. Russian original) Zbl 1418.28001

Funct. Anal. Appl. 52, No. 4, 258-269 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 23-37 (2018).
MSC:  28C15 05C90 28D05
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Universal adic approximation, invariant measures and scaled entropy. (English. Russian original) Zbl 1382.37009

Izv. Math. 81, No. 4, 734-770 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 4, 68-107 (2017).
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Integration of virtually continuous functions over bistochastic measures and the trace formula for nuclear operators. (English. Russian original) Zbl 1345.28001

St. Petersbg. Math. J. 27, No. 3, 393-398 (2016); translation from Algebra Anal. 27, No. 3, 66-74 (2015).
MSC:  28A25
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Virtual continuity of measurable functions and its applications. (English. Russian original) Zbl 1320.28003

Russ. Math. Surv. 69, No. 6, 1031-1063 (2014); translation from Usp. Mat. Nauk 69, No. 6, 81-114 (2014).
Reviewer: K. P. Hart (Delft)
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Virtual continuity of measurable functions of several variables and embedding theorems. (English. Russian original) Zbl 1305.28004

Funct. Anal. Appl. 47, No. 3, 165-173 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 1-11 (2013).
MSC:  28A20 26B05 46E35
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Orbit theory, locally finite permutations and Morse arithmetic. (English) Zbl 1217.37002

Kolyada, Sergiy (ed.) et al., Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1–July 31, 2009. International conference, MPI, Bonn, Germany, July 20–24, 2009. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4958-3). Contemporary Mathematics 532, 115-136 (2010).
MSC:  37A20 28D05
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Scaled entropy of filtrations of \(\sigma\)-fields. (English. Russian original) Zbl 1161.28005

Theory Probab. Appl. 52, No. 3, 493-508 (2008); translation from Teor. Veroyatn. Primen. 52, No. 3, 446-467 (2007).
MSC:  28D20 37A35 60G10
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Random and universal metric spaces. (English) Zbl 1124.28012

Maass, Alejandro (ed.) et al., Dynamics and randomness II. Lectures given at the 2nd conference, Santiago, Chile, December 9–13, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1990-4/hbk). Nonlinear Phenomena and Complex Systems 10, 199-228 (2004).
Reviewer: Su Gao (Denton)
MSC:  28C15
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Kolmogorov’s example (A survey of actions of infinite-dimensional groups with an invariant probability measure). (English. Russian original) Zbl 1055.37006

Theory Probab. Appl. 48, No. 2, 373-378 (2003); translation from Teor. Veroyatn. Primen. 48, No. 2, 386-391 (2003).
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Fock factorizations and decompositions of the \(L^ 2\) spaces over general Lévy processes. (English. Russian original) Zbl 1060.46056

Russ. Math. Surv. 58, No. 3, 427-472 (2003); translation from Usp. Mat. Nauk 58, No. 3, 3-50 (2003).
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Continuous lattices of partitions and lattices of continuous partitions. (English) Zbl 0997.06004

Uraltseva, N. N. (ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. VII. Transl. from the Russian by Tamara Rozhkovskaya. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 203, 1-15 (2001).
MSC:  06B35 28B05 05A18
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Numerical invariants of exponential groups and locally free approximation of the braid group. (English. Russian original) Zbl 1033.20500

J. Math. Sci., New York 113, No. 4, 569-575 (2003); translation from Zap. Nauchn. Semin. POMI 266, 51-63 (2000).
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Bijective coding of automorphisms of the torus and binary quadratic forms. (English. Russian original) Zbl 0934.37006

Russ. Math. Surv. 53, No. 5, 1106-1107 (1998); translation from Usp. Mat. Nauk. 53, No. 5, 231-232 (1998).
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Ergodic unitarily invariant measures on the space of infinite Hermitian matrices. (English) Zbl 0853.22016

Dobrushin, R. L. (ed.) et al., Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 175(31), 137-175 (1996).
MSC:  22E65 28C10
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Mathematical theory of entropy. Transl. from the English by V. A. Kajmanovich. Transl. ed. and with a foreword by A. M. Vershik. (Matematicheskaya teoriya ehntropii.) (Russian) Zbl 0665.28012

Moskva: Mir. 352 p. R. 3.70 (1988).
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Measurable realizations of groups of automorphisms, and integral representations of positive operators. (English. Russian original) Zbl 0627.47012

Sib. Math. J. 28, No. 1-2, 36-43 (1987); translation from Sib. Mat. Zh. 28, No. 1(161), 52-60 (1987).
Reviewer: F.-H.Vasilescu
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General ergodic theory of groups of measure preserving transformations. (English. Russian original) Zbl 0781.58016

Dynamical systems. II. Ergodic theory with applications to dynamical systems and statistical mechanics. Encycl. Math. Sci. 2, 1-98 (1989); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 2, 5-111 (1985).
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On the evolution of measures defined by the Navier-Stokes equations, and on the solvability of the Cauchy problem for Hopf’s statistical equation. (English. Russian original) Zbl 0338.35074

Sov. Math., Dokl. 17, 18-22 (1976); translation from Dokl. Akad. Nauk SSSR 226, 26-29 (1976).
MSC:  35Q30 76D05 28D05
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