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A non-conventional ergodic theorem for a nilsystem

Published online by Cambridge University Press:  19 May 2005

T. ZIEGLER
T. ZIEGLER
Affiliation:
Department of Mathematics, The Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210-1174, USA (e-mail: tamar@math.ohio-state.edu)
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Abstract

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We prove a non-conventional pointwise convergence theorem for a nilsystem, and give an explicit formula for the limit.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 4 , August 2005 , pp. 1357 - 1370
Copyright
2005 Cambridge University Press