A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes
Probability
2007-05-23 v1
Abstract
We construct two types of equilibrium dynamics of infinite particle systems in a locally compact Polish space , for which certain fermion point processes are invariant. The Glauber dynamics is a birth-and-death process in , while in the case of the Kawasaki dynamics interacting particles randomly hop over . We establish conditions on generators of both dynamics under which corresponding conservative Markov processes exist.
Keywords
Cite
@article{arxiv.math/0702338,
title = {A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes},
author = {E. Lytvynov and N. Ohlerich},
journal= {arXiv preprint arXiv:math/0702338},
year = {2007}
}