Symbolic dynamics for large non-uniformly hyperbolic sets of three dimensional flows

speaker: Yuri Lima (Universidade Federal do Ceará )

abstract: In a joint work with J ́erˆome Buzzi and Sylvain Crovisier, we construct symbolic dynamics for three dimensional flows with positive speed. More precisely, for each χ > 0, we code a set of full measure for every invariant probability measure which is χ–hyperbolic. These include all ergodic measures with entropy bigger than χ as well as all hyperbolic periodic orbits of saddle-type with Lyapunov exponent outside of −χ, χ. This contrasts with previous work of Lima & Sarig which built a coding associated to a given invariant probability measure. As an application, we code χ–hyperbolic measures in homoclinic classes of measures by irreducible countable Markov shifts.

timetable:
Mon 29 May, 16:40 - 17:30, Aula Dini
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