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The spectral gap for a Glaubertype dynamics in a continuous gas
, 2000
"... . We consider a continuous gas in a d dimensional rectangular box with a nite range, positive pair potential, and we construct a Markov process in which particles appear and disappear with appropriate rates so that the process is reversible w.r.t. the Gibbs measure. If the thermodynamical paramenter ..."
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Cited by 26 (4 self)
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. We consider a continuous gas in a d dimensional rectangular box with a nite range, positive pair potential, and we construct a Markov process in which particles appear and disappear with appropriate rates so that the process is reversible w.r.t. the Gibbs measure. If the thermodynamical paramenters are such that the Gibbs specication satises a certain mixing condition, then the spectral gap of the generator is strictly positive uniformly in the volume and boundary condition. The required mixing condition holds if, for instance, there is a convergent cluster expansion. Key Words: Spectral gap, Gibbs measures, continuous systems, birth and death processes Mathematics Subject Classication: 82C21, 60K35, 82C22, 60J75 This work was partially supported by GNAFA and by \Conanziamento Murst" v1.4 1. Introduction We consider a continuous gas in a bounded volume R d , distributed according the Gibbs probability measure associated to a nite range pair potential '. The Gibbs measu...
Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction
 Probab. Th. Rel. Fields
, 1994
"... this paper we develop a large deviation theory for such particle systems, with the aim of contributing to a systematic study of the questions above. The general setting is as follows. We consider the Euclidean space R ..."
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Cited by 12 (4 self)
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this paper we develop a large deviation theory for such particle systems, with the aim of contributing to a systematic study of the questions above. The general setting is as follows. We consider the Euclidean space R
Analysis on Poisson and Gamma spaces
 HIROSHIMA MATH. J
, 1998
"... We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of a general approach to nonGaussian white noise calculus, see [KSS97]. We use a known unitary isomorphism between Poisson and compound Poisson spaces in order to transport analytic structures from Poisson space to c ..."
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Cited by 4 (0 self)
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We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of a general approach to nonGaussian white noise calculus, see [KSS97]. We use a known unitary isomorphism between Poisson and compound Poisson spaces in order to transport analytic structures from Poisson space to compound Poisson space. Finally we study a Fock type structure of chaos decomposition on Gamma space.
The spectral gap for a Glauber{type dynamics in a continuous gas
, 2000
"... . We consider a continuous gas in a d dimesional rectangular box with a nite range, positive pair potential, and we construct a Markov process in which particles appear and disappear with appropriate rates so that the process is reversible w.r.t. the Gibbs measure. If the thermodynamical paramenters ..."
Abstract
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. We consider a continuous gas in a d dimesional rectangular box with a nite range, positive pair potential, and we construct a Markov process in which particles appear and disappear with appropriate rates so that the process is reversible w.r.t. the Gibbs measure. If the thermodynamical paramenters are such that the Gibbs specication satises a certain mixing condition, then the spectral gap of the generator is strictly positive uniformly in the volume and boundary condition. The required mixing condition holds if, for instance, there is a convergent cluster expansion. Key Words: Spectral gap, Gibbs measures, continuous systems, birth and death processes Mathematics Subject Classication: 82C21, 60K35, 82C22, 60J75 This work was partially supported by GNAFA and by \Conanziamento Murst" v1.2 1. Introduction We consider a continuous gas in a bounded volume R d , distributed according the Gibbs probability measure associated to a nite range pair potential '. The Gibbs measur...
On Exchange Mechanisms for Bosons
, 2001
"... We develop from the exchange of particles in random point configurations a similar concept for states of boson systems. The central part is devoted to the study of the corresponding class of unitary operators, modelling an interaction between two Boson systems based on the exchange of particles (B ..."
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We develop from the exchange of particles in random point configurations a similar concept for states of boson systems. The central part is devoted to the study of the corresponding class of unitary operators, modelling an interaction between two Boson systems based on the exchange of particles (Bosons) only.