Publicação
SRB measures for polygonal billiards with contracting reflection laws
| Resumo: | We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail. |
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| Autores principais: | Del Magno, Gianluigi |
| Outros Autores: | Dias, João Lopes; Duarte, Pedro; Gaivão, José Pedro; Pinheiro, Diogo |
| Assunto: | Polygonal Billiards Contracting Reflection Laws SRB Measures |
| Ano: | 2014 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| Resumo: | We prove that polygonal billiards with contracting reflection laws exhibit hyperbolic attractors with countably many ergodic SRB measures. These measures are robust under small perturbations of the reflection law, and the tables for which they exist form a generic set in the space of all convex polygons. Specific polygonal tables are studied in detail. |
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