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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 | Abstract: | 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. | Source: | arXiv, math/0702338 | Services: | Forum | Review | PDF | Favorites |
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