1306.6452 (V. Kontis et al.)

Markov semigroups with hypocoercive-type generator in Infinite
Dimensions I: Ergodicity and Smoothing    [PDF]

V. Kontis, M. Ottobre, B. Zegarlinski

We prove the existence of infinite dimensional dynamics generated by interacting dissipative Markov operators of hypocoercive type. For such dynamics we study short and long time behaviour of all the derivatives as well as strong ergodicity.

View original: http://arxiv.org/abs/1306.6452