---
res:
bibo_abstract:
- We consider an equilibrium birth and death type process for a particle system
in infinite volume, the latter is described by the space of all locally finite
point configurations on R-d. These Glauber type dynamics are Markov processes
constructed for pre-given reversible measures. A representation for the "carre
du champ" and "second carre du champ" for the associate infinitesimal generators
L are calculated in infinite volume and for a large class of functions in a generalized
sense. The corresponding coercivity identity is derived and explicit sufficient
conditions for the appearance and bounds for the size of the spectral gap of L
are given. These techniques are applied to Glauber dynamics associated to Gibbs
measures and conditions are derived extending all previous known results and,
in particular, potentials with negative parts can now be treated. The high temperature
regime is extended essentially and potentials with non-trivial negative part can
be included. Furthermore, a special class of potentials is defined for which the
size of the spectral gap is as least as large as for the free system and, surprisingly,
the spectral gap is independent of the activity. This type of potentials should
not show any phase transition for a given temperature at any activity.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Yuri
foaf_name: Kondratiev, Yuri
foaf_surname: Kondratiev
foaf_workInfoHomepage: http://www.librecat.org/personId=15419
- foaf_Person:
foaf_givenName: Tobias
foaf_name: Kuna, Tobias
foaf_surname: Kuna
- foaf_Person:
foaf_givenName: Nataliya
foaf_name: Ohlerich, Nataliya
foaf_surname: Ohlerich
bibo_doi: 10.1214/EJP.v18-2260
bibo_volume: 18
dct_date: 2013^xs_gYear
dct_identifier:
- UT:000318035600001
dct_isPartOf:
- http://id.crossref.org/issn/1083-6489
dct_language: eng
dct_publisher: Univ Washington, Dept Mathematics@
dct_subject:
- gap
- spectral
- Glauber dynamics
- Birth-and-death process
- continuous system
- absence of phase transition
dct_title: Spectral gap for Glauber type dynamics for a special class of potentials@
...