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Pointwise characteristic factors for the multiterm return times theorem

Published online by Cambridge University Press:  01 December 2011

IDRIS ASSANI  and
KIMBERLY PRESSER
IDRIS ASSANI
Affiliation:
Department of Mathematics, UNC Chapel Hill, NC 27599, USA (email: assani@math.unc.edu)
KIMBERLY PRESSER
Affiliation:
Department of Mathematics, Shippensburg University, PA 17257, USA (email: kjpres@ship.edu)
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Abstract

This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain non-conventional averages and prove that these factors are pointwise characteristic for the multiterm return times averages.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012 , pp. 341 - 360
Copyright
Copyright © Cambridge University Press 2011

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