On recurrence in positive characteristic

S. Kristensen; A. Jaššová; P. Lertchoosakul; R. Nair

doi:10.1016/j.indag.2014.11.003

On recurrence in positive characteristic

S. Kristensen^*, A. Jaššová, P. Lertchoosakul, R. Nair

^*Corresponding author af dette arbejde

Institut for Matematik

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

1 Citationer (Scopus)

Abstract

Let P-. 1 denote the set of primes minus 1. A classical theorem of A Sárko 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.

Originalsprog	Engelsk
Tidsskrift	Indagationes Mathematicae
Vol/bind	26
Nummer	2
Sider (fra-til)	346-354
Antal sider	9
ISSN	0019-3577
DOI	https://doi.org/10.1016/j.indag.2014.11.003
Status	Udgivet - 1 jan. 2015

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10.1016/j.indag.2014.11.003

Citationsformater

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title = "On recurrence in positive characteristic",

abstract = "Let P-. 1 denote the set of primes minus 1. A classical theorem of A S{\'a}rko 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.",

keywords = "Fields of formal power series, Intersectivity, Invariant measures, Poincar{\'e} recurrence, Positive characteristic",

author = "S. Kristensen and A. Ja{\v s}{\v s}ov{\'a} and P. Lertchoosakul and R. Nair",

year = "2015",

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T1 - On recurrence in positive characteristic

AU - Kristensen, S.

AU - Jaššová, A.

AU - Lertchoosakul, P.

AU - Nair, R.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Let P-. 1 denote the set of primes minus 1. A classical theorem of A Sárko 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.

AB - Let P-. 1 denote the set of primes minus 1. A classical theorem of A Sárko 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.

KW - Fields of formal power series

KW - Intersectivity

KW - Invariant measures

KW - Poincaré recurrence

KW - Positive characteristic

U2 - 10.1016/j.indag.2014.11.003

DO - 10.1016/j.indag.2014.11.003

M3 - Journal article

AN - SCOPUS:84924620567

SN - 0019-3577

VL - 26

SP - 346

EP - 354

JO - Indagationes Mathematicae

JF - Indagationes Mathematicae

IS - 2

ER -

On recurrence in positive characteristic

Abstract

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