preprint · arXiv (Cornell University) · 2013

Product set phenomena for countable groups

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Abstract

We develop in this paper general techniques to analyze local combinatorial structures in product sets of two subsets of a countable group which are "large" with respect to certain classes of (not necessarily invariant) means on the group. As applications of our methods, we extend and quantify a series of recent results by Jin, Bergelson-Furstenberg-Weiss, Beiglb\"ock-Bergelson-Fish, Griesmer and DiNasso-Lupini to general countable groups.

Cite this paper

APA 7

Björklund, M., & Fish, A. (2013). Product set phenomena for countable groups. arXiv (Cornell University).

MLA 9

Björklund, Michael, and Alexander Fish. “Product set phenomena for countable groups.” arXiv (Cornell University), 2013.

Chicago

Björklund, Michael, and Alexander Fish. 2013. “Product set phenomena for countable groups.” arXiv (Cornell University).

Harvard

Björklund, M. and Fish, A. (2013) ‘Product set phenomena for countable groups’, arXiv (Cornell University).

BibTeX

@misc{bjorklund2013product,
  title = {{Product set phenomena for countable groups}},
  author = {Björklund, Michael and Fish, Alexander},
  journal = {arXiv (Cornell University)},
  year = {2013}
}

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