One-particle subspace of the Glauber dynamics generator for continuous particle systems
Kondratiev, Yuri
Minlos, Robert
Zhizhina, Elena
K-transform spectral analysis of the generator
Gibbs measures
equilibrium spatial birth and death processes
We consider a Glauber-type stochastic dynamics of continuous particle systems in R-d. We construct a one-particle invariant subspace of the generator of this dynamics in the high temperature and low density regime. We prove that under some additional assumptions on the decay of the potential the restriction of the generator on the one-particle subspace is unitary equivalent to the operator of the multiplication by a bounded smooth realvalued function. As a consequence we estimate the spectral gap of the generator and find the second gap between the one-particle branch and the rest of the spectrum.
WORLD SCIENTIFIC PUBL CO PTE LTD
2004
info:eu-repo/semantics/article
doc-type:article
text
https://pub.uni-bielefeld.de/record/1605204
Kondratiev Y, Minlos R, Zhizhina E. One-particle subspace of the Glauber dynamics generator for continuous particle systems. <em>REVIEWS IN MATHEMATICAL PHYSICS</em>. 2004;16(9):1073-1114.
eng
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0129055X04002217
info:eu-repo/semantics/altIdentifier/issn/0129-055X
info:eu-repo/semantics/altIdentifier/wos/000226424500001
info:eu-repo/semantics/closedAccess