The Dirichlet Form of a Gradient-type Drift Transformation of a Symmetric Diffusion
The Dirichlet Form of a Gradient-type Drift Transformation of a Symmetric Diffusion
P.J. Fitzsimmons
(Submitted to Acta Mathematica Sinica (English Series))
In the context of a symmetric diffusion process X admitting a carré du champs
operator, we give a precise description of the Dirichlet form of the process obtained
by subjecting X to a drift transformation of gradient type.
This description relies on boundary-type conditions restricting an
associated reflecting Dirichlet form.
A hard copy of this manuscript is available from the
author upon request.
The manuscript can also be downloaded in
dvi form (54K)
and pdf form (141K).
(Version of June 29, 2006)
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June 29, 2006
