Ergodic Theory and Dynamical Systems



A non-conventional ergodic theorem for a nilsystem


T. ZIEGLER a1
a1 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)

Article author query
ziegler t   [Google Scholar] 
 

Abstract

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)