Some new conditions which ensure the existence of diffusion processes with values in $\R ^{d}$ properly associated to Non-Symmetric Dirichlet Forms are given. The results are extended to the case of diffusions taking values in Wiener Spaces.Some of them can be expressed in terms of dynamical potentials appearing in Schroedinger operators so that they are suitable for application to Stochastic Mechanics both in finite and infinite dimension.
Some new Conditions for the Existence of Singular non Symmetric Diffusions
MORATO, Laura Maria
2004-01-01
Abstract
Some new conditions which ensure the existence of diffusion processes with values in $\R ^{d}$ properly associated to Non-Symmetric Dirichlet Forms are given. The results are extended to the case of diffusions taking values in Wiener Spaces.Some of them can be expressed in terms of dynamical potentials appearing in Schroedinger operators so that they are suitable for application to Stochastic Mechanics both in finite and infinite dimension.
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