| Metadato | Etiqueta | Valor | Idioma |
|---|---|---|---|
| dc.contributor.author | Autor | Brown, Aaron | - |
| dc.contributor.author | Autor | Álvarez, Sebastien | - |
| dc.contributor.author | Autor | Malicet, Dominique | - |
| dc.contributor.author | Autor | Obata, Davi | - |
| dc.contributor.author | Autor | Roldán, Mario | - |
| dc.contributor.author | Autor | Santiago, Bruno | - |
| dc.contributor.author | Autor | Triestino, Michele | - |
| dc.contributor.filiacion | Filiación | Brown Aaron, University of Chicago | - |
| dc.contributor.filiacion | Filiación | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemáticas. | - |
| dc.contributor.filiacion | Filiación | Malicet Dominique, Université Paris-Est Marne-la-Vallée | - |
| dc.contributor.filiacion | Filiación | Obata Davi, Université Paris Sud | - |
| dc.contributor.filiacion | Filiación | Roldán Mario, Universidade Federal de Santa Catarina | - |
| dc.contributor.filiacion | Filiación | Santiago Bruno, Universidade Federal Fluminense | - |
| dc.contributor.filiacion | Filiación | Triestino Michele, Université de Bourgogne Franche-Comt ́ | - |
| dc.date.accessioned | Fecha ingreso | 2022-11-24T15:45:26Z | - |
| dc.date.available | Fecha disponible | 2022-11-24T15:45:26Z | - |
| dc.date.issued | Año de publicación | 2019 | - |
| dc.description | Descripción | Publicado también como: Entropy, Lyapunov exponents, and rigidity of group actions / A. Brown, con apéndices de S. Alvarez , D. Malicet , D. Obata , B. Santiago , M. Triestino. Brasil : Sociedade Brasileira de Matemáticas. (Ensaios Matemáticos). ISBN: 978-85-8337-159-5 | es |
| dc.description.abstract | Resumen | This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresópolis, Brazil in June 2016. The course introduced a number of classical tools in smooth ergodic theory -- particularly Lyapunov exponents and metric entropy -- as tools to study rigidity properties of group actions on manifolds. We do not present comprehensive treatment of group actions or general rigidity programs. Rather, we focus on two rigidity results in higher-rank dynamics: the measure rigidity theorem for affine Anosov abelian actions on tori due to A. Katok and R. Spatzier [Ergodic Theory Dynam. Systems 16, 1996] and recent the work of the main author with D. Fisher, S. Hurtado, F. Rodriguez Hertz, and Z. Wang on actions of lattices in higher-rank semisimple Lie groups on manifolds [arXiv:1608.04995; arXiv:1610.09997]. We give complete proofs of these results and present sufficient background in smooth ergodic theory needed for the proofs. A unifying theme in this text is the use of metric entropy and its relation to the geometry of conditional measures along foliations as a mechanism to verify invariance of measures. | es |
| dc.description.sponsorship | Financiadores | ANII: FCE_3_2018_1_148740 | es |
| dc.format.extent | Extensión | 160 h | es |
| dc.format.mimetype | Formato | application/pdf | es |
| dc.identifier.citation | Citación | Brown, A, Álvarez, S, Malicet, D, Obata, D, [y otros autores]. "Entropy, Lyapunov exponents, and rigidity of group actions" [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2019 arXiv:1809.09192, jun 2019, pp 1-160. | es |
| dc.identifier.doi | DOI | 10.48550/arXiv.1809.09192 | - |
| dc.identifier.uri | URI | https://hdl.handle.net/20.500.12008/34996 | - |
| dc.language.iso | Idioma | en | es |
| dc.publisher | Editorial | arXiv | es |
| dc.relation.ispartof | EN | Mathematics (Dynamical Systems), arXiv:1809.09192, jun 2019, pp 1-160 | es |
| dc.rights | Derechos | Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014) | es |
| dc.rights.licence | Licencia | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) | es |
| dc.subject | Palabras clave | Dynamical systems | es |
| dc.subject | Palabras clave | Group Theory | es |
| dc.title | Título | Entropy, Lyapunov exponents, and rigidity of group actions | es |
| dc.type | Tipo de documento | Preprint | es |
Colecciones:
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 1809.09192.pdf | Preprint | 1.84 MB | Adobe PDF |