Free energies as invariants of Teichmüller like structures

MESON, ALEJANDRO M.; VERICAT, FERNANDO

Coventry

Workshop; Workshop on Ergodic Theory and Dynamical systems: Perspectives and Prospects; 2012

The University of Warwick

We present a multifractal description for Teichmuller flows. A key ingredient to do this is the Rauzy-Veech-Zorich reduction theory, which allows to treat the problem in the setting of suspension flows over subshifts. To effect the multifractal analysis we implement a thermodynamic formalism for suspension flows over countable alphabet subshifts a bit diferent from that developed by Barreira and Iommi