On Poincare recurrence in positive characteristic

Kristensen, Simon, Jassova, Alena, Lertchoosakul, Poj and Nair, Radhakrishnan (2015) On Poincare recurrence in positive characteristic. Indagationes Mathematicae, 26 (2). pp. 346-354.

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Abstract

Let P - 1 denote the set of primes minus . A classical theorem of A Sárkőzy says that any set of natural numbers of positive density contains a pair of elements whose difference belongs to P - 1. An ergodic approach to questions of this type was given by the fourth author, building on work of H. Furstenberg. In this paper we give a proof of the positive characteristic analogue of this result using the same approach.

Item Type:	Article
Uncontrolled Keywords:	Fields of formal power series, Positive characteristic, Invariant measures, Poincaré recurrence, Intersectivity
Subjects:	?? QA ??
Depositing User:	Symplectic Admin
Date Deposited:	05 Aug 2015 08:23
Last Modified:	16 Dec 2022 16:17
DOI:	10.1016/j.indag.2014.11.003
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2018959