ON ERGODIC AVERAGES FOR PARABOLIC PRODUCT FLOWS

被引：6

作者：

Bufetov, Alexander I. ^{[1
,2
,3
,4
,5
]}

Solomyak, Boris ^{[6
]}

机构：

[1] Aix Marseille Univ, Cent Marseille, CNRS, UMR 7373,I2M, 39 Rue F Joliot Curie, Marseille, France

[2] RAS, Steklov Math Inst, Moscow, Russia

[3] Inst Informat Transmiss Problems, Moscow, Russia

[4] Natl Res Univ Higher Sch Econ, Moscow, Russia

[5] St Petersburg State Univ, Chebyshev Lab, St Petersburg, Russia

[6] Bar Ilan Univ, Dept Math, Ramat Gan, Israel

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2018年 / 146卷 / 04期

基金：

以色列科学基金会; 欧洲研究理事会;

关键词：

Substitution dynamical system; spectral measure; Holder continuity; SUBSTITUTION DYNAMICAL-SYSTEMS; MODULUS;

D O I：

10.24033/bsmf2770

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a direct product of a suspension flow over a substitution dynamical system and an arbitrary ergodic flow and give quantitative estimates for the speed of convergence for ergodic integrals of such systems. Our argument relies on new uniform estimates of the spectral measure for suspension flows over substitution dynamical systems. The paper answers a question by Jon Chaika.

引用

页码：675 / 690

页数：16

共 50 条

[41] Level sets of multiple ergodic averages
Fan, Ai-Hua
Liao, Lingmin
Ma, Ji-Hua
MONATSHEFTE FUR MATHEMATIK, 2012, 168 (01): : 17 - 26
[42] Nilsystems and ergodic averages along primes
Eisner, Tanja
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (10) : 2769 - 2777
[43] On Variation Functions for Subsequence Ergodic Averages
R. Nair
M. Weber
Monatshefte für Mathematik, 1999, 128 : 131 - 150
[44] ON MEAN ERGODIC THEOREM FOR WEIGHTED AVERAGES
HANSON, DL
PLEDGER, G
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1969, 13 (02): : 141 - &
[45] Convergence of the lacunary ergodic Cesaro averages
Bernardis, Ana
Iaffei, Bibiana
Martin-Reyes, Francisco J.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) : 226 - 246
[46] Exponent of Convergence of a Sequence of Ergodic Averages
Podvigin, I., V
MATHEMATICAL NOTES, 2022, 112 (1-2) : 271 - 280
[47] Learning Ergodic Averages in Chaotic Systems
Huhn, Francisco
Magri, Luca
COMPUTATIONAL SCIENCE - ICCS 2020, PT VI, 2020, 12142 : 124 - 132
[48] ALMOST EVERYWHERE CONVERGENCE OF ERGODIC AVERAGES
Buczolich, Zoltan
REAL ANALYSIS EXCHANGE, 2008, 34 (01) : 1 - 15
[49] Entropy numbers of some ergodic averages
Gamet, C
Weber, M
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1999, 44 (04) : 650 - 668
[50] Ergodic transforms associated to general averages
Aimar, H.
Bernardis, A. L.
Martin-Reyes, F. J.
STUDIA MATHEMATICA, 2010, 199 (02) : 107 - 143

← 1 2 3 4 5 →