Transience and thermodynamic formalism for infinitely branched interval maps

Details Transience and thermodynamic formalism for infinitely branched interval maps Transience and thermodynamic formalism for infinitely branched interval maps

2011-04-28

arxiv.org/abs/1104.5452v1

Mathematics

Dynamical Systems

Scientific paper

We study a one-parameter family of countably piecewise linear interval maps, which, although Markov, fail the `large image property'. This leads to conservative as well as dissipative behaviour for different maps in the family with respect to Lebesgue. We investigate the transition between these two types, and study the associated thermodynamic formalism, describing in detail the second order phase transitions (i.e. the pressure function is $C^1$ but not $C^2$ at the phase transition) that occur in transition to dissipativity. We also study the various natural definitions of pressure which arise here, computing these using elementary recurrence relations.

Affiliated with

Also associated with

No associations

Rating

Transience and thermodynamic formalism for infinitely branched interval 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 Transience and thermodynamic formalism for infinitely branched interval maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Transience and thermodynamic formalism for infinitely branched interval maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-450699