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28 March 2024
 
  » arxiv » math/0702338

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A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes
E. Lytvynov ; N. Ohlerich ;
Date 12 Feb 2007
Subject Probability
AbstractWe 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.
Source arXiv, math/0702338
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