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The method of Dirichlet forms

2006
In several contributions to this conference stochastic processes (especially those of diffusion type) have plaid a role. We would like to give a short exposition of some work done recently on the construction of such processes from a point of view which unifies the finite dimensional case (elliptic operators, heat equation, potential theory, quantum ...
S. Albeverio, R. Høegh-Krohn
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Capacities for Dirichlet forms

1993
In this paper the author gives various equivalent expressions for the capacity defined by a Dirichlet form. In particular, in case of local Dirichlet forms satisfying the standard conditions to define an intrinsic metric, integral representations are discussed.
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On the Quasi-regularity of Semi-Dirichlet Forms

Potential Analysis, 2001
Let \(E\) be a metrisable, co-Souslin space and \(X\) be a transient right Markov process, with state space \(E\) and transition semigroup \((P_{t})_{t>0}\). Suppose that there is a \(\sigma\)-finite measure \(m\) on \(E\), such that \((P_{t})_{t>0}\) acts as a strongly continuous contraction semigroup in \(L^{2}(m)\).
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Dirichlet Forms

1993
Eugene Fabes   +5 more
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The Wiener Test for Poincaré-Dirichlet Forms

1994
We give a necessary and sufficient condition of Wiener type for the regularity of boundary points for Poincare-Dirichlet forms; moreover estimates on the modulus of continuity and on the energy decay of a solution at a regular boundary point are studied.
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On $$L^p$$ Liouville Theorems for Dirichlet Forms

Springer Proceedings in Mathematics and Statistics, 2022
Bobo Hua, Daniel Lenz, Marcel Schmidt
exaly  

Uniqueness of Dirichlet Forms Related to Infinite Systems of Interacting Brownian Motions

Potential Analysis, 2020
Yosuke Kawamoto   +2 more
exaly  

A trace theorem for Dirichlet forms on fractals

Journal of Functional Analysis, 2006
Masanori Hino, Takashi Kumagai
exaly  

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