Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Lewis Bowen"'
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
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
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
Publikováno v:
Groups, Geometry, and Dynamics. 12:399-448
The goals of this paper are twofold. First, we generalize the result of Gaboriau and Lyons [GL07] to the setting of von Neumann's problem for equivalence relations, proving that for any non-amenable ergodic probability measure preserving (pmp) equiva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4354e27a532156ff3926b513b4e3d58e
https://doi.org/10.4171/ggd/456
https://doi.org/10.4171/ggd/456
Autor:
Lewis Bowen, Amos Nevo
Publikováno v:
Ergodic Theory and Dynamical Systems. 39:2689-2716
We establish pointwise ergodic theorems for a large class of natural averages on simple Lie groups of real rank one, going well beyond the radial case considered previously. The proof is based on a new approach to pointwise ergodic theorems, which is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c69c2b39f8e9320b23aabe35cb20ea6b
https://doi.org/10.1017/etds.2017.128
https://doi.org/10.1017/etds.2017.128
Autor:
Lewis Bowen
Publikováno v:
Israel Journal of Mathematics. 221:471-480
It is shown that every accessible group which is integrable orbit equivalent to a free group is virtually free. Moreover, we also show that any integrable orbit-equivalence between finitely generated groups extends to their end compactifications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::714ca818ff3a00139959a416b42f9c7c
https://doi.org/10.1007/s11856-017-1553-4
https://doi.org/10.1007/s11856-017-1553-4
Autor:
Lewis Bowen
Publikováno v:
Proceedings of the International Congress of Mathematicians (ICM 2018).
Sofic entropy theory is a generalization of the classical Kolmogorov-Sinai entropy theory to actions of large class of non-amenable groups called sofic groups. This is a short introduction with a guide to the literature.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7b9b80cf32cd1a75bab900abbfe6910
https://doi.org/10.1142/9789813272880_0120
https://doi.org/10.1142/9789813272880_0120
Autor:
Peter Burton, Lewis Bowen
Amos Nevo established the pointwise ergodic theorem in $L^p$ for measure-preserving actions of $\mathrm{PSL}_2(\mathbb{R})$ on probability spaces with respect to ball averages and every $p>1$. This paper shows by explicit example that Nevo's Theorem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1da29b96744abad738be68e4ae4ed911
http://arxiv.org/abs/1901.01299
http://arxiv.org/abs/1901.01299
Autor:
Lewis Bowen
Publikováno v:
Proceedings of the American Mathematical Society. 145:215-224
We construct ergodic discrete probability measure preserving equivalence relations $\cR$ that has no proper ergodic normal subequivalence relations and no proper ergodic finite-index subequivalence relations. We show that every treeable equivalence r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05d64cae073400fb29d721f5bc9272b5
https://doi.org/10.1090/proc/13257
https://doi.org/10.1090/proc/13257