## Found 42 Documents (Results 1–42)

100
MathJax

### On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem. (English. Russian original)Zbl 07505245

Sib. Math. J. 63, No. 2, 316-325 (2022); translation from Sib. Mat. Zh. 63, No. 2, 379-391 (2022).
MSC:  37Axx 28Dxx 60Fxx
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### Randomized multivariate central limit theorems for ergodic homogeneous random fields. (English)Zbl 1479.60052

MSC:  60F05 60G10 37A30
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### Echo state networks trained by Tikhonov least squares are $$L^2(\mu)$$ approximators of ergodic dynamical systems. (English)Zbl 07477842

MSC:  37M25 37M10
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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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### Von Neumann’s ergodic theorem and Fejer sums for signed measures on the circle. (Russian. English summary)Zbl 1448.37004

MSC:  37A30 42A16
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### Non-uniform Kozlov-Treschev averagings in the ergodic theorem. (English. Russian original)Zbl 07244020

Russ. Math. Surv. 75, No. 3, 393-425 (2020); translation from Usp. Mat. Nauk 75, No. 3, 3-36 (2020).
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### Data-driven spectral analysis of the Koopman operator. (English)Zbl 1436.37093

MSC:  37M10 15B05 47N40
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### Measuring the rate of convergence in the Birkhoff ergodic theorem. (English. Russian original)Zbl 1427.37004

Math. Notes 106, No. 1, 52-62 (2019); translation from Mat. Zametki 106, No. 1, 40-52 (2019).
MSC:  37A30 37A05
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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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### Deviations of Fejer sums and rates of convergence in the von Neumann ergodic theorem. (English. Russian original)Zbl 1400.37008

Dokl. Math. 97, No. 3, 211-214 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 1, 21-24 (2018).
MSC:  37A30
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### Estimates for correlation in dynamical systems: from Hölder continuous functions to general observables. (Russian, English)Zbl 1413.37016

Mat. Tr. 20, No. 2, 90-119 (2017); translation in Sib. Adv. Math. 28, No. 3, 187-206 (2018).
MSC:  37D20 37A50 60F10
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### Large deviations of the ergodic averages: from Hölder continuity to continuity almost everywhere. (Russian, English)Zbl 1399.37001

Mat. Tr. 20, No. 1, 97-120 (2017); translation in Sib. Adv. Math. 28, No. 1, 23-38 (2018).
MSC:  37A30 37A60 60F10
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### Limiting curves for polynomial adic systems. (English. Russian original)Zbl 1379.37002

J. Math. Sci., New York 224, No. 2, 286-303 (2017); translation from Zap. Nauchn. Semin. POMI 448, 177-200 (2016).
MSC:  37A05 37A30 37P05
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### Almost everywhere convergence of ergodic series. (English)Zbl 1378.37011

MSC:  37A30 28A20 26A27
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### Pointwise equidistribution with an error rate and with respect to unbounded functions. (English)Zbl 1417.37056

MSC:  37A45 37C85 37A50 28A33 22E40 37A17
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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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### On the rate of convergence in the individual ergodic theorem for the action of a semigroup. (Russian, English)Zbl 1374.37005

Mat. Tr. 18, No. 2, 93-111 (2015); translation in Sib. Adv. Math. 26, No. 2, 139-151 (2016).
MSC:  37A30 37A50 37B50
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### Fluctuations of observables in dynamical systems: from limit theorems to concentration inequalities. (English)Zbl 1360.37017

González-Aguilar, Hernán (ed.) et al., Nonlinear dynamics new directions. Theoretical aspects. Cham: Springer (ISBN 978-3-319-09866-1/hbk; 978-3-319-09867-8/ebook). Nonlinear Systems and Complexity 11, 47-85 (2015).
MSC:  37A45 37A30 37D25 60F05 60F10 37H10
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### Nonparametric estimation of the service time distribution in the discrete-time GI/G/$$\infty$$ queue with partial information. (English)Zbl 1301.62037

MSC:  62G05 60F17 60K25
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### Interrelation between the convergence rates in von Neumann’s and Birkhoff’s ergodic theorems. (English. Russian original)Zbl 1351.37031

Sib. Math. J. 55, No. 2, 336-348 (2014); translation from Sib. Mat. Zh. 55, No. 2, 412-426 (2014).
MSC:  37A30 37A50
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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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### Geometry and dynamics of planar linkages. (English)Zbl 1260.55016

MSC:  55R80 53C99
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### Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time. (English. Russian original)Zbl 1260.37006

Sib. Math. J. 53, No. 5, 882-888 (2012); translation from Sib. Mat. Zh. 53, No. 5, 1102-1110 (2012).
MSC:  37A30 37A10
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### On the Pyatetskii-Shapiro normality criterion for continued fractions. (English. Russian original)Zbl 1297.11089

J. Math. Sci., New York 182, No. 4, 567-575 (2012); translation from Fundam. Prikl. Mat. 16, No. 6, 177-188 (2010).
MSC:  11K50 37A30 28D05 37A05 37B50 47A35
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### Constants in the estimates of the rate of convergence in von Neumann’s ergodic theorem with continuous time. (English)Zbl 1285.47014

Sib. Math. J. 52, No. 5, 824-835 (2011); translation from Sib. Mat. Zh. 52, No. 5, 1039-1052 (2011).
MSC:  47A35 37A30
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### On the constants in the estimates of the rate of convergence in von Neumann’s ergodic theorem. (English. Russian original)Zbl 1273.47026

Math. Notes 87, No. 5, 720-727 (2010); translation from Mat. Zametki 87, No. 5, 756-763 (2010).
MSC:  47A35
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### Local stability of ergodic averages. (English)Zbl 1187.37010

MSC:  37A30 03F60 03F03
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MSC:  37D20
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### Capturing deviation from ergodicity at different scales. (English)Zbl 1207.37005

MSC:  37A05 28D05 37M25
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### General theories unifying ergodic averages and martingales. (English. Russian original)Zbl 1159.28005

Proc. Steklov Inst. Math. 256, 160-187 (2007); translation from Tr. Mat. Inst. Steklova 256, 172-200 (2007).
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### Dispersion properties of ergodic translations. (English)Zbl 1130.37306

MSC:  37A05 37E10
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### Limit theorems in the stadium billiard. (English)Zbl 1170.37314

MSC:  37D50 37A60
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### On uniform convergence in the ergodic theorem. (English)Zbl 0936.28010

MSC:  28D05 37A30
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### Decrease rate of the probabilities of $$\varepsilon$$-deviations for the means of stationary processes. (English. Russian original)Zbl 0930.60027

Math. Notes 64, No. 3, 316-321 (1998); translation from Mat. Zametki 64, No. 3, 366-372 (1998).
MSC:  60G10
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