Joint transitivity for linear iterates
We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-pre...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424001385/type/journal_article |
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| _version_ | 1832540009099427840 |
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| author | Sebastián Donoso Andreas Koutsogiannis Wenbo Sun |
| author_facet | Sebastián Donoso Andreas Koutsogiannis Wenbo Sun |
| author_sort | Sebastián Donoso |
| collection | DOAJ |
| description | We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems. |
| format | Article |
| id | doaj-art-ecc0f96c9ba44e05ad0392d59b29fd7b |
| institution | Kabale University |
| issn | 2050-5094 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-ecc0f96c9ba44e05ad0392d59b29fd7b2025-02-05T06:29:08ZengCambridge University PressForum of Mathematics, Sigma2050-50942025-01-011310.1017/fms.2024.138Joint transitivity for linear iteratesSebastián Donoso0https://orcid.org/0000-0001-9870-7984Andreas Koutsogiannis1https://orcid.org/0000-0001-7464-9230Wenbo Sun2https://orcid.org/0000-0003-3399-3937Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile & IRL 2807 - CNRS, Beauchef 851, Santiago, Chile; E-mail:Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, 54124, Greece;Department of Mathematics, Virginia Tech, 225 Stanger Street, Blacksburg, VA, 24061, USA; E-mail:We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems.https://www.cambridge.org/core/product/identifier/S2050509424001385/type/journal_article37B0537B0237B20 |
| spellingShingle | Sebastián Donoso Andreas Koutsogiannis Wenbo Sun Joint transitivity for linear iterates Forum of Mathematics, Sigma 37B05 37B02 37B20 |
| title | Joint transitivity for linear iterates |
| title_full | Joint transitivity for linear iterates |
| title_fullStr | Joint transitivity for linear iterates |
| title_full_unstemmed | Joint transitivity for linear iterates |
| title_short | Joint transitivity for linear iterates |
| title_sort | joint transitivity for linear iterates |
| topic | 37B05 37B02 37B20 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424001385/type/journal_article |
| work_keys_str_mv | AT sebastiandonoso jointtransitivityforlineariterates AT andreaskoutsogiannis jointtransitivityforlineariterates AT wenbosun jointtransitivityforlineariterates |