Spectral gap for Glauber type dynamics for a special class of potentials (Q388905)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Spectral gap for Glauber type dynamics for a special class of potentials |
scientific article; zbMATH DE number 6247211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral gap for Glauber type dynamics for a special class of potentials |
scientific article; zbMATH DE number 6247211 |
Statements
Spectral gap for Glauber type dynamics for a special class of potentials (English)
0 references
17 January 2014
0 references
The paper deals with processes which are the continuous version of the Glauber dynamics for lattice systems, and the main focus is on the spectral properties of the associated infinitesimal generator, which exhibits a spectral gap for small positive potentials and small high temperature regimes. In the case of operators associated with Gibbs measure, one derives sufficient conditions for the presence of a spectral gap and bounds on the size of the gap, which are defined in terms of potential and activity.
0 references
birth-and-death process
0 references
continuous system
0 references
Glauber dynamics
0 references
spectral gap
0 references
absence of phase transition
0 references
Gibbs measure
0 references
