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Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992
出版Springer, 2006-11-15
主題Mathematics / Probability & Statistics / GeneralMathematics / Mathematical AnalysisMathematics / Probability & Statistics / Stochastic ProcessesMathematics / Calculus
ISBN35404815169783540481515
URLhttp://books.google.com.hk/books?id=izx8CwAAQBAJ&hl=&source=gbs_api
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註釋The theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. The six courses covered the basic theory and applications to: - Stochastic processes and potential theory (M. Fukushima and M. Roeckner) - Regularity problems for solutions to elliptic equations in general domains (E. Fabes and C. Kenig) - Hypercontractivity of semigroups, logarithmic Sobolev inequalities and relation to statistical mechanics (L. Gross and D. Stroock). The School had a constant and active participation of young researchers, both from Italy and abroad.