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Multiple recurrence theorem for nilpotent group actions
Authors:A Leibman
Institution:(1) Department of Mathematics Technion, 32000 Haifa, Israel
Abstract:We prove that ifX is a compact space andT 1, ...,T t are homeomorphisms ofX generating a nilpotent group, then there existx existX andn 1,n 2, ... existN such that 
$$T_j^{n_m } x\mathop  \to \limits_{m \to \infty } x$$
for eachj=1, ...t.Supported by British Technion Society.
Keywords:
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