Title: Thermodynamic formalism out of equilibrium
Abstract: We introduce the study of an adapted thermodynamic formalism for dynamical systems whose potential depends randomly on a Gibbs process. We introduce the notion of an associated ``pressure out of equilibrium”, and present a formula via a variational principle (the proof we will present will be analytic rather than dynamical, in the spirit of the seminar). If time allows, we will present an application involving a version of Azuma’s inequality for Gibbs processes (which was also the original motivation for this program).