Multi-recurrence and van der Waerden systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801I28" target="_blank" >RIV/61988987:17610/17:A1801I28 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s11425-015-0860-8" target="_blank" >http://dx.doi.org/10.1007/s11425-015-0860-8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11425-015-0860-8" target="_blank" >10.1007/s11425-015-0860-8</a>

Result language

angličtina

Original language name

Multi-recurrence and van der Waerden systems

Original language description

We explore recurrence properties arising from dynamical approach to the van der Waerden theorem and similar combinatorial problems. We describe relations between these properties and study their consequences for dynamics. In particular, we present a measure-theoretical analog of a result of Glasner on multi-transitivity of topologically weakly mixing minimal maps. We also obtain a dynamical proof of the existence of a C-set with zero Banach density.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Science China Mathematics

ISSN

1869-1862

e-ISSN

—

Volume of the periodical

60

Issue of the periodical within the volume

1

Country of publishing house

CL - CHILE

Number of pages

24

Pages from-to

59-82

UT code for WoS article

000391390900003

EID of the result in the Scopus database

2-s2.0-84983748405