A nilpotent IP polynomial multiple recurrence theorem
P. Zorin-Kranich. (2012)cite arxiv:1206.0287Comment: 28 pages, v2: definition of polynomial and proof of Theorem 2.5 changed, minor corrections.
Abstract
We generalize the IP-polynomial Szemerédi theorem due to Bergelson and
McCutcheon and the nilpotent Szemerédi theorem due to Leibman. Important
tools in our proof include a generalization of Leibman's result that polynomial
mappings into a nilpotent group form a group and a multiparameter nilpotent
Hales-Jewett theorem.
Description
A nilpotent IP polynomial multiple recurrence theorem
%0 Generic
%1 zorinkranich2012nilpotent
%A Zorin-Kranich, Pavel
%D 2012
%K ergodictheory
%T A nilpotent IP polynomial multiple recurrence theorem
%U http://arxiv.org/abs/1206.0287
%X We generalize the IP-polynomial Szemerédi theorem due to Bergelson and
McCutcheon and the nilpotent Szemerédi theorem due to Leibman. Important
tools in our proof include a generalization of Leibman's result that polynomial
mappings into a nilpotent group form a group and a multiparameter nilpotent
Hales-Jewett theorem.
@misc{zorinkranich2012nilpotent,
abstract = {We generalize the IP-polynomial Szemer\'edi theorem due to Bergelson and
McCutcheon and the nilpotent Szemer\'edi theorem due to Leibman. Important
tools in our proof include a generalization of Leibman's result that polynomial
mappings into a nilpotent group form a group and a multiparameter nilpotent
Hales-Jewett theorem.},
added-at = {2013-06-20T03:02:53.000+0200},
author = {Zorin-Kranich, Pavel},
biburl = {https://www.bibsonomy.org/bibtex/2d9f7e28b5b854084187a1125da74a3cb/jakub.konieczny},
description = {A nilpotent IP polynomial multiple recurrence theorem},
interhash = {efc0abc01004e10aac80c7e3a75eb781},
intrahash = {d9f7e28b5b854084187a1125da74a3cb},
keywords = {ergodictheory},
note = {cite arxiv:1206.0287Comment: 28 pages, v2: definition of polynomial and proof of Theorem 2.5 changed, minor corrections},
timestamp = {2013-06-20T03:02:54.000+0200},
title = {A nilpotent IP polynomial multiple recurrence theorem},
url = {http://arxiv.org/abs/1206.0287},
year = 2012
}