Dynamical Systems Seminar
主講者: | Professor Lorenzo Diaz (Catholic University of Rio de Janeiro, Brazil) |
講題: | Constructing non-hyperbolic ergodic measures for non-hypebolic diffeomorphisms |
時間: | 2009-11-12 (Thu.) 14:00 - 15:00 |
地點: | |
Abstract: | We consider transitive sets containing saddles of different indices (dimension of the stable bundle). For these sets, under $C^1$-generic assumptions, we study how the non-hyperbolicity is detected in the ergodic level. For that we construct non-hyperbolic (zero Lyapunov exponent) ergodic measures. (Join works with Gorodetski and Bonatti-Gorodetski). |
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