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Dirichlet Forms : Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992, PDF eBook

Dirichlet Forms : Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992 PDF

Edited by Gianfausto Dell'Antonio, Umberto Mosco

Part of the Lecture Notes in Mathematics series

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Description

The theory of Dirichlet forms has witnessed recently somevery important developments both in theoretical foundationsand in applications (stochasticprocesses, quantum fieldtheory, composite materials,...).

It was therefore felttimely to have on this subject a CIME school, in whichleading experts in the field would present both the basicfoundations of the theory and some of the recentapplications.

The six courses covered the basic theory andapplications to:- Stochastic processes and potential theory (M.

Fukushimaand M. Roeckner)- Regularity problems for solutions to elliptic equations ingeneral domains (E.

Fabes and C. Kenig)- Hypercontractivity of semigroups, logarithmic Sobolevinequalities and relation to statistical mechanics (L.

Grossand D. Stroock). The School had a constant and active participation of youngresearchers, both from Italy and abroad.

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