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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