Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators.

Z. Zhao; F. Gesztesy

Displaying similar documents to “Domain perturbations, Brownian motion, capacities, and ground states of Dirichlet Schrödinger operators.”

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The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined

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Uniqueness of Brownian motion on Sierpiński carpets

Martin Barlow, Richard F. Bass, Takashi Kumagai, Alexander Teplyaev (2010)

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We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpi´nski carpet that is invariant with respect to the local symmetries of the carpet. Consequently, for each such fractal the law of Brownian motion is uniquely determined and the Laplacian is well defined.