@article{1605204,
abstract = {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.},
author = {Kondratiev, Yuri and Minlos, Robert and Zhizhina, Elena},
issn = {0129-055X},
journal = {REVIEWS IN MATHEMATICAL PHYSICS},
keyword = {K-transform spectral analysis of the generator, Gibbs measures, equilibrium spatial birth and death processes},
number = {9},
pages = {1073--1114},
publisher = {WORLD SCIENTIFIC PUBL CO PTE LTD},
title = {{One-particle subspace of the Glauber dynamics generator for continuous particle systems}},
doi = {10.1142/S0129055X04002217},
volume = {16},
year = {2004},
}