Zobrazeno 1 - 10
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pro vyhledávání: '"Lewis Bowen"'
Autor:
Gaboriau, Damien
The entropy in dynamical systems was introduced by A. Kolmogorov. Initially dedicated to iterations of one finite measure preserving transformation, the notion was gradually generalized so as to encompass amenable group actions and topological action
Externí odkaz:
http://arxiv.org/abs/1607.06454
Akademický článek
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Kniha
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Akademický článek
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Autor:
Jean-Paul Thouvenot
Publikováno v:
Journal of modern dynamics
Journal of modern dynamics, American Institute of Mathematical Sciences, 2019, 15, pp.133-141. ⟨10.3934/jmd.2019016⟩
Journal of modern dynamics, American Institute of Mathematical Sciences, 2019, 15, pp.133-141. ⟨10.3934/jmd.2019016⟩
International audience; We present the achievements of Lewis Bowen, or, more precisely, his breakthrough works after which a theory started to develop. The focus will therefore be made here on the isomorphism problem for Bernoulli actions of countabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db42eb05161e9ce439557110afc79dff
https://hal.sorbonne-universite.fr/hal-02975204
https://hal.sorbonne-universite.fr/hal-02975204
Autor:
Gaboriau, Damien
Publikováno v:
Asterisque
Asterisque, Société Mathématique de France, 2017, 390
Asterisque, Société Mathématique de France, 2017, 390
The entropy in dynamical systems was introduced by A. Kolmogorov. Initially dedicated to iterations of one finite measure preserving transformation, the notion was gradually generalized so as to encompass amenable group actions and topological action
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9ee7c1eea6567013cbf27a9ef50afff
Autor:
Peter Burton, Lewis Bowen
Publikováno v:
Transactions of the American Mathematical Society. 373:4469-4481
A sofic group $G$ is said to be flexibly stable if every sofic approximation to $G$ can converted to a sequence of disjoint unions of Schreier graphs by modifying an asymptotically vanishing proportion of edges. We establish that if $\mathrm{PSL}_d(\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b11f3525e29717c8e1a89fbae60577fd
https://doi.org/10.1090/tran/8047
https://doi.org/10.1090/tran/8047
Autor:
Lewis Bowen
Publikováno v:
Geometric and Functional Analysis. 29:659-689
The von Neumann–Day problem asks whether every non-amenable group contains a non-abelian free group. It was answered in the negative by Ol’shanskii in the 1980s. The measurable version (formulated by Gaboriau–Lyons) asks whether every non-amena
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a82f6e6c5449380085feb9668bb171e4
https://doi.org/10.1007/s00039-019-00494-4
https://doi.org/10.1007/s00039-019-00494-4
Autor:
Lewis Bowen
Publikováno v:
Entropy, Vol 18, Iss 6, p 220 (2016)
Dan Rudolph showed that for an amenable group, Γ, the generic measure-preserving action of Γ on a Lebesgue space has zero entropy. Here, this is extended to nonamenable groups. In fact, the proof shows that every action is a factor of a zero entrop
Externí odkaz:
https://doaj.org/article/d6c1633bdf3141839b2680be8b91789f
Publikováno v:
Ergodic Theory and Dynamical Systems. 40:353-366
We study invariant random subgroups (IRSs) of semidirect products $G = A \rtimes \Gamma$. In particular, we characterize all IRSs of parabolic subgroups of $\mathrm{SL}_d(\mathbb{R})$, and show that all ergodic IRSs of $\mathbb{R}^d \rtimes \mathrm{S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c10e54ed31aa9c338893eef05b1ece45
https://doi.org/10.1017/etds.2018.46
https://doi.org/10.1017/etds.2018.46