Ergodicity of Markov Semigroups with Hörmander type generators in Infinite Dimensions

Abstract

We develop an effective strategy for proving strong ergodicity of (nonsymmetric) Markov semigroups associated to Hörmander type generators when the underlying configuration space is infinite dimensional.

References in corpus (2)

• On gradient bounds for the heat kernel on the Heisenberg group
• Hypoellipticity in infinite dimensions and an application in interest rate theory