Ergodic Theory and Dynamical Systems

A non-conventional ergodic theorem for a nilsystem

a1 Department of Mathematics, The Ohio State University, 100 Math Tower, 231 West 18th Avenue, Columbus, OH 43210-1174, USA (e-mail:

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ziegler t   [Google Scholar] 


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

(Received April 29 2002)
(Revised September 3 2003)