TY - JOUR
AB - 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.
AU - Kondratiev, Yuri
AU - Minlos, Robert
AU - Zhizhina, Elena
ID - 1605204
IS - 9
JF - REVIEWS IN MATHEMATICAL PHYSICS
KW - K-transform spectral analysis of the generator
KW - Gibbs measures
KW - equilibrium spatial birth and death processes
SN - 0129-055X
TI - One-particle subspace of the Glauber dynamics generator for continuous particle systems
VL - 16
ER -