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Found 15 Documents (Results 1–15)

A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions. (English. Russian original) Zbl 07804694

Sib. Math. J. 65, No. 1, 76-95 (2024); translation from Sib. Mat. Zh. 65, No. 1, 92-114 (2024).
MSC:  37A30 37B05
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Uniform convergence on subspaces in the von Neumann ergodic theorem with discrete time. (English. Russian original) Zbl 1523.37012

Math. Notes 113, No. 5, 680-693 (2023); translation from Mat. Zametki 113, No. 5, 713-730 (2023).
MSC:  37A30 37A05
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The maximum pointwise rate of convergence in Birkhoff’s ergodic theorem. (English. Russian original) Zbl 1471.37005

J. Math. Sci., New York 255, No. 2, 119-123 (2021); translation from Zap. Nauchn. Semin. POMI 498, 18-25 (2020).
MSC:  37A30 37A10
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Fejér sums and Fourier coefficients of periodic measures. (English. Russian original) Zbl 1403.37016

Dokl. Math. 98, No. 2, 464-467 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 482, No. 4, 381-384 (2018).
MSC:  37A45 42A16
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Fejér sums for periodic measures and the von Neumann ergodic theorem. (English. Russian original) Zbl 1400.37009

Dokl. Math. 98, No. 1, 344-347 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 481, No. 4, 358-361 (2018).
MSC:  37A30
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Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems. (English. Russian original) Zbl 1370.37014

Trans. Mosc. Math. Soc. 2016, 1-53 (2016); translation from Tr. Mosk. Mat. O.-va 77, No. 1, 1-66 (2016).
MSC:  37A30 37D20 37D50 60G10
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Large deviations and rates of convergence in the Birkhoff ergodic theorem: from Hölder continuity to continuity. (English. Russian original) Zbl 1362.37014

Dokl. Math. 93, No. 1, 6-8 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 12-15 (2016).
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Correlations, large deviations, and rates of convergence in ergodic theorems for characteristic functions. (English. Russian original) Zbl 1333.60041

Dokl. Math. 91, No. 2, 204-207 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 509-512 (2015).
MSC:  60F10 60F99
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Rate of convergence in ergodic theorems for the planar periodic Lorentz gas. (English. Russian original) Zbl 1352.37012

Dokl. Math. 89, No. 2, 139-142 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 1, 11-14 (2014).
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Large deviations and the rate of convergence in the Birkhoff ergodic theorem. (English. Russian original) Zbl 1370.37012

Math. Notes 94, No. 4, 524-531 (2013); translation from Mat. Zametki 94, No. 4, 569-577 (2013).
MSC:  37A30 28E05
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Rates of convergence in ergodic theorems for certain billiards and Anosov diffeomorphisms. (English. Russian original) Zbl 1328.37005

Dokl. Math. 88, No. 1, 385-387 (2013); translation from Dokl. Akad. Nauk, 451, No. 1, 11-13 (2013).
MSC:  37A30 37D20 37A25
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