2006
DOI: 10.1007/s11118-005-0913-6
|View full text |Cite
|
Sign up to set email alerts
|

Functional Inequalities for Particle Systems on Polish Spaces

Abstract: Various Poincaré-Sobolev type inequalities are studied for a reaction-diffusion model of particle systems on Polish spaces. The systems we consider consist of finite particles which are killed or produced at certain rates, while particles in the system move on the Polish space interacting with one another (i.e. diffusion). Thus, the corresponding Dirichlet form, which we call reaction-diffusion Dirichlet form, consists of two parts: the diffusion part induced by certain Markov processes on the product spaces E… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2007
2007
2014
2014

Publication Types

Select...
2

Relationship

0
2

Authors

Journals

citations
Cited by 2 publications
(1 citation statement)
references
References 29 publications
0
1
0
Order By: Relevance
“…In a recent paper [8], functional inequalities are studied for a class of particle systems with the number of particles behaving as a Q-process on Z + . The purpose of this paper is to prove the (quasi-)regularity for the associated Dirichlet forms, so that the corresponding Markov processes can be constructed according to the Dirichlet form theory (cf.…”
Section: Introductionmentioning
confidence: 99%
“…In a recent paper [8], functional inequalities are studied for a class of particle systems with the number of particles behaving as a Q-process on Z + . The purpose of this paper is to prove the (quasi-)regularity for the associated Dirichlet forms, so that the corresponding Markov processes can be constructed according to the Dirichlet form theory (cf.…”
Section: Introductionmentioning
confidence: 99%