Equilibrium States for Random Non-uniformly Expanding Maps

Details Equilibrium States for Random Non-uniformly Expanding Maps Equilibrium States for Random Non-uniformly Expanding Maps

2003-07-04

arxiv.org/abs/math/0307071v1

Nonlinearity, vol. 17, n. 2, p. 581-593, 2004

Mathematics

Dynamical Systems

Scientific paper

10.1088/0951-7715/17/2/013

We show that, for a robust ($C^2$-open) class of random non-uniformly expanding maps, there exists equilibrium states for a large class of potentials.In particular, these sytems have measures of maximal entropy. These results also give a partial answer to a question posed by Liu-Zhao. The proof of the main result uses an extension of techniques in recent works by Alves-Ara\'ujo, Alves-Bonatti-Viana and Oliveira.

Affiliated with

Also associated with

No associations

Rating

Equilibrium States for Random Non-uniformly Expanding Maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equilibrium States for Random Non-uniformly Expanding Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equilibrium States for Random Non-uniformly Expanding Maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-513597