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Indices of Dirichlet forms

Sugaku Expositions, 2017
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M. Hino
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Global properties of Dirichlet forms in terms of Green’s formula

Calculus of Variations and Partial Differential Equations, 2017
We study global properties of Dirichlet forms such as uniqueness of the Dirichlet extension, stochastic completeness and recurrence. We characterize these properties by means of vanishing of a boundary term in Green’s formula for functions from suitable ...
Sebastian Haeseler   +4 more
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Homogenization in Random Dirichlet Forms

Stochastic Analysis and Applications, 2005
A general diffusion process in a random medium associated with a random Dirichlet form with nonsmooth and nonbounded coefficients is considered, as drift transformation of a starting diffusion process in a random medium, with random infinitesimal generator in divergence form.
ALBEVERIO S, BERNABEI, Maria Simonetta
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On Unsymmetric Dirichlet Forms

Canadian Journal of Mathematics, 1973
Let F be a linear, but not necessarily closed, subspace of L2[X, dm], where (X,,m) is a σ-finite measure space with the Borel subsets of the locally compact space X. If u and v are measureable functions, then v is called a normalized contraction of u if and Assume that F is stable under normalized contractions, that is, if u ∈ F and v is a ...
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Balayage of Semi-Dirichlet Forms

Canadian Journal of Mathematics, 2012
AbstractIn this paper we study the balayage of semi-Dirichlet forms. We present new results on balayaged functions and balayagedmeasures of semi-Dirichlet forms. Some of the results are new even in the Dirichlet forms setting.
Hu, Ze-Chun, Sun, Wei
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Dirichlet forms on partial *-algebras

Mathematical Proceedings of the Cambridge Philosophical Society, 1988
Dirichlet forms and their associated function spaces have been studied by a number of authors [4, 6, 7, 12, 15–18, 22, 25, 26]. Important motivation for the study has been the connection of Dirichlet forms with Markov processes [16–18, 25, 26]: for example, to every regular symmetric Dirichlet form, there is an associated Hunt process [13, 20].
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On the closability and convergence of dirichlet forms

Proceedings of the Steklov Institute of Mathematics, 2010
Explicit criteria are available for a probability measure on \(\mathbb R^d\) such that the form \[ \mathcal E_i(f):= \int_{\mathbb R^d} (\partial_i f)^2 \;d\mu \] is closable. An interesting question is whether the closability of \(\mathcal E_i\) also implies that of the gradient form \[ \mathcal E(f):=\int_{\mathbb R^d} |\nabla f|^2\;d\mu.
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Bivariate Revuz Measures and the Feynman-Kac Formula on Semi-Dirichlet Forms

, 2015
In this paper we shall first establish the theory of bivariate Revuz correspondence of positive additive functionals under a semi-Dirichlet form which is associated with a right Markov process X satisfying the sector condition but without duality.
Liping Li, J. Ying
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On Representations of Non-Symmetric Dirichlet Forms

Potential Analysis, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Ze-Chun, Ma, Zhi-Ming, Sun, Wei
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On the closability of Dirichlet forms

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1980
Necessary and sufficient conditions are found for closability of a two dimensional Dirichlet form which reduces to $$\int {dx} \int {dy} |y|^{1 - \alpha } |\nabla f(x,y)|^2 ,0 < \alpha < 2$$ whenever f is supported in the complement of the x-axis.
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