Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Nicolás Matte Bon"'
Publikováno v:
Journal of topology
Journal of topology, Oxford University Press, 2020, 13 (3), pp.1119-1138. ⟨10.1112/topo.12151⟩
19 pages. 2018
Journal of topology, Oxford University Press, 2020, 13 (3), pp.1119-1138. ⟨10.1112/topo.12151⟩
19 pages. 2018
We provide a smoothening criterion for group actions on manifolds by singular diffeomorphisms. We prove that if a countable group $\Gamma$ has the fixed point property FW for walls (e.g. if it has property (T)), every aperiodic action of $\Gamma$ by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25ecf4e72da05a87910a10e18efaa2c5
https://hal.archives-ouvertes.fr/hal-01743993
https://hal.archives-ouvertes.fr/hal-01743993
Autor:
Adrien Le Boudec, Nicolás Matte Bon
Publikováno v:
International Mathematics Research Notices. 2020:3318-3340
We construct locally compact groups with no nontrivial Invariant Random Subgroups and no nontrivial Uniformly Recurrent Subgroups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5ac50f4fe0efa5a58e270d9af3ebb94
https://doi.org/10.1093/imrn/rny116
https://doi.org/10.1093/imrn/rny116
Autor:
Nicolás Matte Bon, Adrien Le Boudec
Publikováno v:
Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, 2018, 51 (3), pp.557-602. ⟨10.24033/asens.2361⟩
Annales Scientifiques de l'École Normale Supérieure, 2018, 51 (3), pp.557-602. ⟨10.24033/asens.2361⟩
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28482eeaa972bab0df4b15c375d8c79b
https://doi.org/10.24033/asens.2361
https://doi.org/10.24033/asens.2361
Autor:
Michele Triestino, Nicolás Matte Bon
Publikováno v:
Compositio Mathematica
Compositio Mathematica, Foundation Compositio Mathematica, 2020, 156 (8), pp.1595-1622. ⟨10.1112/S0010437X20007356⟩
Compositio Mathematica, Foundation Compositio Mathematica, 2020, 156 (8), pp.1595-1622. ⟨10.1112/S0010437X20007356⟩
To every dynamical system $(X,\varphi)$ over a totally disconnected compact space, we associate a left-orderable group $T(\varphi)$. It is defined as a group of homeomorphisms of the suspension of $(X,\varphi)$ which preserve every orbit of the suspe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b3fb8a1a25752e0f802628a62845acb
http://arxiv.org/abs/1811.12256
http://arxiv.org/abs/1811.12256
Autor:
Nicolás Matte Bon
Publikováno v:
Geometric and Functional Analysis. 24:1637-1659
We study random walk on topological full groups of subshifts, and show the existence of infinite, finitely generated, simple groups with the Liouville property. Results by Matui and Juschenko-Monod have shown that the derived subgroups of topological
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03c525d370897ca38899cc6808c07938
https://doi.org/10.1007/s00039-014-0293-4
https://doi.org/10.1007/s00039-014-0293-4
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 52, no. 4 (2016), 1763-1783
We show that on groups generated by bounded activity automata, every symmetric, finitely supported probability measure has the Liouville property. More generally we show this for every group of automorphisms of bounded type of a rooted tree. For auto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::456473970f18f53b672042d6e79f707a
http://projecteuclid.org/euclid.aihp/1479373247
http://projecteuclid.org/euclid.aihp/1479373247
Publikováno v:
Ergodic Theory and Dynamical Systems
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, pp.1-25. ⟨10.1017/etds.2016.32⟩
Ergodic Theory and Dynamical Systems, 2016, pp.1-25. ⟨10.1017/etds.2016.32⟩
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2016, pp.1-25. ⟨10.1017/etds.2016.32⟩
Ergodic Theory and Dynamical Systems, 2016, pp.1-25. ⟨10.1017/etds.2016.32⟩
Extensive amenability is a property of group actions which has recently been used as a tool to prove amenability of groups. We study this property and prove that it is preserved under a very general construction of semidirect products. As an applicat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68a6fddf33094f818736de73d2312e52
https://hal.archives-ouvertes.fr/hal-01219528
https://hal.archives-ouvertes.fr/hal-01219528
Autor:
Nicolás Matte Bon
We show that every bounded automaton group can be embedded in a finitely generated, simple amenable group. The proof is based on the study of the topological full groups associated to the Schreier dynamical system of the mother groups. We also show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38c2d275d35fd7ce5972596463b5415a
Autor:
Nicolás Matte Bon
We show that every Grigorchuk group $G_\omega$ embeds in (the commutator subgroup of) the topological full group of a minimal subshift. In particular, the topological full group of a Cantor minimal system can have subgroups of intermediate growth, a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34a4295d537419c8e38553db17d418da
http://arxiv.org/abs/1408.0762
http://arxiv.org/abs/1408.0762