Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations
Colloq. Math. 119 (2010), no. 1, 1--22 We define a class of discrete abelian group extensions of rank-one transformations and establish necessary and sufficient conditions for these extensions to be power weakly mixing. We show that all members of this class are multiply recurrent. We then study con...
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| creator | Dodd, Chris Jeasakul, Phakawa Jirapattanakul, Anne Kane, Daniel M Robinson, Becky Stein, Noah Silva, Cesar E |
| description | Colloq. Math. 119 (2010), no. 1, 1--22 We define a class of discrete abelian group extensions of rank-one
transformations and establish necessary and sufficient conditions for these
extensions to be power weakly mixing. We show that all members of this class
are multiply recurrent. We then study conditions sufficient for showing that
cartesian products of transformations are conservative for a class of
invertible infinite measure-preserving transformations and provide examples of
these transformations. |
| doi_str_mv | 10.48550/arxiv.0803.4044 |
| format | Article |
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transformations and establish necessary and sufficient conditions for these
extensions to be power weakly mixing. We show that all members of this class
are multiply recurrent. We then study conditions sufficient for showing that
cartesian products of transformations are conservative for a class of
invertible infinite measure-preserving transformations and provide examples of
these transformations.</description><identifier>DOI: 10.48550/arxiv.0803.4044</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2008-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/0803.4044$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.0803.4044$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dodd, Chris</creatorcontrib><creatorcontrib>Jeasakul, Phakawa</creatorcontrib><creatorcontrib>Jirapattanakul, Anne</creatorcontrib><creatorcontrib>Kane, Daniel M</creatorcontrib><creatorcontrib>Robinson, Becky</creatorcontrib><creatorcontrib>Stein, Noah</creatorcontrib><creatorcontrib>Silva, Cesar E</creatorcontrib><title>Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations</title><description>Colloq. Math. 119 (2010), no. 1, 1--22 We define a class of discrete abelian group extensions of rank-one
transformations and establish necessary and sufficient conditions for these
extensions to be power weakly mixing. We show that all members of this class
are multiply recurrent. We then study conditions sufficient for showing that
cartesian products of transformations are conservative for a class of
invertible infinite measure-preserving transformations and provide examples of
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transformations and establish necessary and sufficient conditions for these
extensions to be power weakly mixing. We show that all members of this class
are multiply recurrent. We then study conditions sufficient for showing that
cartesian products of transformations are conservative for a class of
invertible infinite measure-preserving transformations and provide examples of
these transformations.</abstract><doi>10.48550/arxiv.0803.4044</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Ergodic Properties of a Class of Discrete Abelian Group Extensions of Rank-One Transformations |
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