Localization of Δ-Mixing Property via Furstenberg Families

This paper is devoted to studying the localization of Δ-mixing property via Furstenberg families. The notion of Δ-weakly mixing sets is extended to F-Δ-weakly mixing sets with respect to a sequence, and the characterization of Δ-weakly mixing sets is also generalized.

Saved in:
Bibliographic Details
Main Authors: Sihui Zhang, Hailian Wang, Rulong Xie
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/6759849
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849306311161806848
author Sihui Zhang
Hailian Wang
Rulong Xie
author_facet Sihui Zhang
Hailian Wang
Rulong Xie
author_sort Sihui Zhang
collection DOAJ
description This paper is devoted to studying the localization of Δ-mixing property via Furstenberg families. The notion of Δ-weakly mixing sets is extended to F-Δ-weakly mixing sets with respect to a sequence, and the characterization of Δ-weakly mixing sets is also generalized.
format Article
id doaj-art-2e439fc01a59485f80b780d1a78f58d3
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-2e439fc01a59485f80b780d1a78f58d32025-08-20T03:55:07ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/67598496759849Localization of Δ-Mixing Property via Furstenberg FamiliesSihui Zhang0Hailian Wang1Rulong Xie2College of Science, University of Shanghai for Science & Technology, Shanghai 200093, ChinaDepartment of Mathematics, Chaohu University, Hefei 238000, ChinaDepartment of Mathematics, Chaohu University, Hefei 238000, ChinaThis paper is devoted to studying the localization of Δ-mixing property via Furstenberg families. The notion of Δ-weakly mixing sets is extended to F-Δ-weakly mixing sets with respect to a sequence, and the characterization of Δ-weakly mixing sets is also generalized.http://dx.doi.org/10.1155/2019/6759849
spellingShingle Sihui Zhang
Hailian Wang
Rulong Xie
Localization of Δ-Mixing Property via Furstenberg Families
Discrete Dynamics in Nature and Society
title Localization of Δ-Mixing Property via Furstenberg Families
title_full Localization of Δ-Mixing Property via Furstenberg Families
title_fullStr Localization of Δ-Mixing Property via Furstenberg Families
title_full_unstemmed Localization of Δ-Mixing Property via Furstenberg Families
title_short Localization of Δ-Mixing Property via Furstenberg Families
title_sort localization of δ mixing property via furstenberg families
url http://dx.doi.org/10.1155/2019/6759849
work_keys_str_mv AT sihuizhang localizationofdmixingpropertyviafurstenbergfamilies
AT hailianwang localizationofdmixingpropertyviafurstenbergfamilies
AT rulongxie localizationofdmixingpropertyviafurstenbergfamilies