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