EXISTENCIA DE CONTINUOS ESTABLES E INESTABLES PARA FLUJOS CW-EXPANSIVOS скачать в хорошем качестве

EXISTENCIA DE CONTINUOS ESTABLES E INESTABLES PARA FLUJOS CW-EXPANSIVOS

Abstract: In this talk, we will present various properties of stable and unstable sets of cw-expansive flows. We generalize the results described in [1, Lemma 4], [1, Lemma 5], and [2, Lemma 6.4], proving that cw-expansive flows defined on a Peano continuum do not have stable and unstable points. As a consequence, we will demonstrate that these flows have a continuum in each stable and unstable set of uniform size. In a second scenario, we define Cw-hyperbolic flows and verify that such flows satisfy the shading property. [1] M. Paternain, Expansive Flows and the Fundamental Group, Bull. Braz. Math. Soc. 24 (1993) 179-199. https://doi.org/10.1007/BF01237676. [2] A. Arbieto, W. Cordeiro, M. J. Pacifico, Continuum-wise expansivity and entropy for flows, Ergodic Theory Dynam. Systems, 164 (2017) 1-21. https://doi.org/10.1017/etds.2017.79 Seminario presentado por la Dra. Margoth Tacuri (PUCP).