Statistical Properties of Nonequilibrium Dynamical Systems

نویسندگان

  • Wael Bahsoun
  • Fanni Selley
چکیده

We provide a general framework to study differentiability of SRB measures for one dimensional non-uniformly expanding maps. Our work covers systems that admit a finite SRB measure and it also covers systems that admit an infinite SRB measure. In particular, we obtain a linear response formula for both finite and infinite SRB measures. We apply our results to interval maps with a neutral fixed point (Pomeau-Manneville maps) to prove differentiability of the corresponding SRB measure.This is a joint work with Benoit Saussol.

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تاریخ انتشار 2016