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

### 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.

### Article Information

 Title A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes Source Methods Funct. Anal. Topology, Vol. 14 (2008), no. 1, 67-80 MathSciNet MR2402154 Copyright The Author(s) 2008 (CC BY-SA)

### Authors Information

Eugene Lytvynov
Department of Mathematics, University of Wales Swansea, Singleton Park, Swansea SA2 8PP, U.K.

Nataliya Ohlerich
Fakultat fur Mathematik, Universitat Bielefeld, Postfach 10 01 31, D-33501 Bielefeld, Germany; BiBoS, Universitat Bielefeld, Germany

### Citation Example

Eugene Lytvynov and Nataliya Ohlerich, A note on equilibrium Glauber and Kawasaki dynamics for fermion point processes, Methods Funct. Anal. Topology 14 (2008), no. 1, 67-80.

### BibTex

@article {MFAT424,
AUTHOR = {Lytvynov, Eugene and Ohlerich, Nataliya},
TITLE = {A note on equilibrium Glauber  and Kawasaki dynamics for fermion point processes},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {14},
YEAR = {2008},
NUMBER = {1},
PAGES = {67-80},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=424},
}