The purpose of this project is to investigate statistical properties of non-uniformly hyperbolic (semi)flows w.r.t. equilibrium measures. A central theme is how to view phase transitions in terms of the transient/positive recurrent/null-recurrent classification that was introduced into this field by Sarig. Operator renewal theory applied to (doubly perturbed) transfer operators will be among the main tools to address these questions.
Henk Bruin (U Vienna), Dalia Terhesiu (U of Exeter), Mike Todd (U St Andrews)