(Quasi-)regular Dirichlet forms for particle systems on Polish spaces

Abstract

Explicit sufficient and necessary conditions are presented for reaction-diffusion type Dirichlet forms on Polish spaces studied by Röckner and Wang [Potential Anal., 2006, 24: 223–243] to be (quasi-)regular. As preparations, the (quasi-)regularity of the sum of two or countably many Dirichlet forms is investigated.

Keywords

Dirichlet form / regularity / quasi-regularity / particle system / Polish space

References

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