A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes

Details A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes

2007-02-12

arxiv.org/abs/math/0702338v1

Mathematics

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Scientific paper

We construct two types of equilibrium dynamics of infinite particle systems in a locally compact Polish space $X$, for which certain fermion point processes are invariant. The Glauber dynamics is a birth-and-death process in $X$, while in the case of the Kawasaki dynamics interacting particles randomly hop over $X$. We establish conditions on generators of both dynamics under which corresponding conservative Markov processes exist.

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