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Title:Chaos and mixing homeomorphisms on fans
Authors:ID Banič, Iztok (Author)
ID Erceg, Goran (Author)
ID Kennedy, Judy A. (Author)
ID Mouron, Christopher (Author)
ID Nall, Van (Author)
Files:.pdf RAZ_Banic_Iztok_2024.pdf (2,83 MB)
MD5: B64E41DD19CBE6FB552EE293C8A7A573
 
URL https://doi.org/10.1080/10236198.2024.2384947
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:We construct a mixing homeomorphism on both the Lelek fan and the Cantor fan. We also construct a family of uncountably many pairwise non-homeomorphic smooth (and non-smooth) fans that admit mixing homeomorphisms.
Keywords:closed relations, Mahavier products, transitive dynamical systems, transitive homeomorphisms, mixing homeomorphisms, smooth fan
Publication status:Published
Publication version:Version of Record
Submitted for review:01.01.2024
Article acceptance date:14.07.2024
Publication date:30.07.2024
Year of publishing:2024
Number of pages:31 str.
Numbering:Letn. 31, št. 31
PID:20.500.12556/DKUM-90072 New window
UDC:515.1
ISSN on article:1023-6198
COBISS.SI-ID:204808451 New window
DOI:10.1080/10236198.2024.2384947 New window
Publication date in DKUM:26.02.2025
Views:178
Downloads:16
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Journal of difference equations and applications
Shortened title:J. diff. equ. appl.
Publisher:Gordon and Breach
ISSN:1023-6198
COBISS.SI-ID:9220185 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-4632-2023
Name:Parametrizirane družine čudnih atraktorjev predstavljene preko inverznih limit: študija z vidika topologije in teorije mere

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:BI-HR/23-24-011-2023
Name:Topološki dinamični sistemi: lastnosti fiksnih točk, topološka entropija in minimalnost

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:BI-US/22-24-086-2022
Name:Posplošene inverzne limite in njihove lastnosti

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0285-2022
Name:Algebra, diskretna matematika, verjetnostni račun in teorija iger

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:BI-US/22-24-084-2022
Name:3D tiskane komponente za optimizirano elektrolizo vode

Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:30.07.2024

Secondary language

Language:Slovenian
Keywords:zaprte relacije, Mahavierjevi produkti, tranzitivni dinamični sistemi, tranzitivni homeomorfizmi, mešalni homeomorfizmi, gladka pahljača


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