Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592059 | Journal of Functional Analysis | 2010 | 20 Pages |
Abstract
We study asymptotic properties of the continuous Glauber dynamics with unbounded death and constant birth rates. In particular, an information about the location of the spectrum for the symbol of the Markov generator is obtained. The latter fact is used for the proof of the ergodicity of this process. We show that the speed of convergence to the equilibrium is exponential.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory