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Counting in Ergodic Theory

Published online by Cambridge University Press:  20 November 2018

Roger L. Jones ,
Joseph M. Rosenblatt  and
Máté Wierdl
Roger L. Jones
Affiliation:
Department of Mathematics, DePaul University, 2219 N. Kenmore, Chicago, Illinois 60614, U.S.A. email: rjones@condor.depaul.edu
Joseph M. Rosenblatt
Affiliation:
Department of Mathematics, University of Illinois at Urbana, Urbana, Illinois 61801, U.S.A. email: jrsnbltt@math.uiuc.edu
Máté Wierdl
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152, U.S.A. email: mw@wierdlmpc.msci.memphis.edu
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Abstract

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Many aspects of the behavior of averages in ergodic theory are a matter of counting the number of times a particular event occurs. This theme is pursued in this article where we consider large deviations, square functions, jump inequalities and related topics.

Keywords

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Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 5 , 01 October 1999 , pp. 996 - 1019
Copyright
Copyright © Canadian Mathematical Society 1999

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