Эта публикация цитируется в следующих 117 статьяx:
E. Sander, J. D. Meiss, “Proportions of incommensurate, resonant, and chaotic orbits for torus maps”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 35:1 (2025)
Matthew J. Colbrook, Qin Li, Ryan V. Raut, Alex Townsend, “Beyond expectations: residual dynamic mode decomposition and variance for stochastic dynamical systems”, Nonlinear Dyn, 112:3 (2024), 2037
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira, Edson Souza, “On spectral measures and convergence rates in von Neumann's Ergodic theorem”, Monatsh Math, 203:3 (2024), 543
Matthew J. Colbrook, Alex Townsend, “Rigorous data‐driven computation of spectral properties of Koopman operators for dynamical systems”, Comm Pure Appl Math, 77:1 (2024), 221
Christophe Zhang, Enrique Zuazua, “A quantitative analysis of Koopman operator methods for system identification and predictions”, Comptes Rendus. Mécanique, 351:S1 (2024), 721
A. G. Kachurovskii, I. V. Podvigin, V. È. Todikov, A. Zh. Khakimbaev, “A Spectral Criterion for Power-Law Convergence Rate in the Ergodic Theorem for {𝕑}^{d} and {𝕉}^{d} Actions”, Sib Math J, 65:1 (2024), 76
А. Г. Качуровский, И. В. Подвигин, В. Э. Тодиков, А. Ж. Хакимбаев, “Спектральный критерий степенной скорости сходимости в эргодической теореме для Zd и Rd действий”, Сиб. матем. журн., 65:1 (2024), 92–114
И. В. Подвигин, “Критерий степенной скорости сходимости эргодических средних для унитарных действий групп Zd и Rd”, Алгебра и анализ, 36:4 (2024), 148–164
David Blessing, J. D. Mireles James, “Weighted Birkhoff Averages and the Parameterization Method”, SIAM J. Appl. Dyn. Syst., 23:3 (2024), 1766
Matthew J. Colbrook, Handbook of Numerical Analysis, 25, Numerical Analysis Meets Machine Learning, 2024, 127
Youri Davydov, Arkady Tempelman, “Randomized limit theorems for stationary ergodic random processes and fields”, Stochastic Processes and their Applications, 174 (2024), 104380
Oscar F. Bandtlow, Wolfram Just, Julia Slipantschuk, “EDMD for expanding circle maps and their complex perturbations”, Applied and Computational Harmonic Analysis, 2024, 101690
I. V. Podvigin, “On Convergence Rates in the Birkhoff Ergodic Theorem”, Sib Math J, 65:5 (2024), 1170
И. В. Подвигин, “О скоростях сходимости в эргодической теореме Биркгофа”, Сиб. матем. журн., 65:5 (2024), 991–1010
M. Ruth, D. Bindel, “Finding Birkhoff averages via adaptive filtering”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 34:12 (2024)
J.D. Meiss, E. Sander, “Resonance and weak chaos in quasiperiodically-forced circle maps”, Communications in Nonlinear Science and Numerical Simulation, 2024, 108562
А. Г. Качуровский, И. В. Подвигин, А. Ж. Хакимбаев, “Равномерная сходимость на подпространствах в эргодической теореме фон Неймана с дискретным временем”, Матем. заметки, 113:5 (2023), 713–730; A. G. Kachurovskii, I. V. Podvigin, A. J. Khakimbaev, “Uniform Convergence on Subspaces in von Neumann Ergodic
Theorem with Discrete Time”, Math. Notes, 113:5 (2023), 680–693
S. V. Zelik, “Attractors. Then and now”, УМН, 78:4(472) (2023), 53–198; Russian Math. Surveys, 78:4 (2023), 635–777
A. G. Kachurovskii, I. V. Podvigin, V. E. Todikov, “Uniform convergence on subspaces in von Neumann's ergodic theorem with continuous time”, Сиб. электрон. матем. изв., 20:1 (2023), 183–206
TERRY ADAMS, JOSEPH ROSENBLATT, “Existence and non-existence of solutions to the coboundary equation for measure-preserving systems”, Ergod. Th. Dynam. Sys., 43:7 (2023), 2137