On ergodic averages for parabolic product flows

Alexander I. Bufetov; Boris Solomyak

doi:https://doi.org/10.24033/bsmf2770

On ergodic averages for parabolic product flows

Alexander I. Bufetov, Boris Solomyak

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	675-690
Number of pages	16
Journal	Bulletin de la Societe Mathematique de France
Volume	146
Issue number	4
DOIs	https://doi.org/10.24033/bsmf2770
State	Published - 2018

Keywords

Hölder continuity
Spectral measure
Substitution dynamical system

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.24033/bsmf2770

Cite this

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title = "On ergodic averages for parabolic product flows",

abstract = "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.",

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AU - Bufetov, Alexander I.

AU - Solomyak, Boris

PY - 2018

Y1 - 2018

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AB - 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.

KW - Hölder continuity

KW - Spectral measure

KW - Substitution dynamical system

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U2 - https://doi.org/10.24033/bsmf2770

DO - https://doi.org/10.24033/bsmf2770

M3 - مقالة

SN - 0037-9484

VL - 146

SP - 675

EP - 690

JO - Bulletin de la Societe Mathematique de France

JF - Bulletin de la Societe Mathematique de France

IS - 4

ER -

On ergodic averages for parabolic product flows

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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