D. V. Anosov, “Spectral Multiplicity in Ergodic Theory”, On Spectral Multiplicities in Ergodic Theory, Sovrem. Probl. Mat., 3, Steklov Math. Institute of RAS, Moscow, 2003, 3–85; Proc. Steklov Inst. Math., 290, suppl. 1 (2015), 1

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Sovremennye Problemy Matematiki, 2003, Issue 3, Pages 3–85
DOI: https://doi.org/10.4213/spm6 (Mi spm6)

This article is cited in 11 scientific papers (total in 11 papers)

Spectral Multiplicity in Ergodic Theory

D. V. Anosov

Full-text PDF (651 kB) Citations (11)

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DOI: https://doi.org/10.4213/spm6

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 290, Issue 1, Pages 1–44
DOI: https://doi.org/10.1134/S0081543815070019

Bibliographic databases:

Document Type: Book

UDC: 519.2

Language: Russian

Citation: D. V. Anosov, “Spectral Multiplicity in Ergodic Theory”, On Spectral Multiplicities in Ergodic Theory, Sovrem. Probl. Mat., 3, Steklov Math. Institute of RAS, Moscow, 2003, 3–85; Proc. Steklov Inst. Math., 290, suppl. 1 (2015), 1–44

Citation in format AMSBIB

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\pages 3--85

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Linking options:

https://www.mathnet.ru/eng/spm6

https://doi.org/10.4213/spm6

https://www.mathnet.ru/eng/spm/v3/p3

This publication is cited in the following 11 articles:

V. V. Ryzhikov, “Kolmogorov and Rokhlin spectral problems in the class of mixing automorphisms”, Russian Math. Surveys, 79:6 (2024), 1093–1094
V. V. Ryzhikov, “Mixing Sets for Rigid Transformations”, Math. Notes, 110:4 (2021), 565–570
Anatoly Stepin, Sergey Tikhonov, Contemporary Mathematics, 772, Topology, Geometry, and Dynamics, 2021, 311
A. A. Prikhod'ko, “On ergodic flows with simple Lebesgue spectrum”, Sb. Math., 211:4 (2020), 594–615
S. V. Tikhonov, “Approximation of Mixing Transformations”, Math. Notes, 95:2 (2014), 255–269
R. A. Konev, V. V. Ryzhikov, “On the Collection of Spectral Multiplicities $\{2,4,\dots,2^n\}$ for Totally Ergodic $\mathbb{Z}^2$ -Actions”, Math. Notes, 96:3 (2014), 360–368
V. V. Ryzhikov, “Simple spectrum of the tensor product of powers of a mixing automorphism”, Trans. Moscow Math. Soc., 73 (2012), 183–191
S. V. Tikhonov, “Mixing transformations with homogeneous spectrum”, Sb. Math., 202:8 (2011), 1231–1252
V. V. Ryzhikov, “Spectral multiplicities and asymptotic operator properties of actions with invariant measure”, Sb. Math., 200:12 (2009), 1833–1845
V. V. Ryzhikov, “Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions”, Sb. Math., 198:5 (2007), 733–754
V. V. Ryzhikov, A. E. Troitskaya, “Tensor roots of isomorphisms and weak limits of transformations”, Math. Notes, 80:4 (2006), 563–566

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

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