D.W. Stroock's Books

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

By: E. Fabes,M. Fukushima,L. Gross,C. Kenig,M. Röckner,D.W. Stroock

Write a review Read reviews Take a Quiz Solve Book Puzzle

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

By: E. Fabes,M. Fukushima,L. Gross,C. Kenig,M. Röckner,D.W. Stroock

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.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

254

Publisher

Springer

Published Date

ISBN 10

3540481516

ISBN 13

9783540481515

An Introduction to the Theory of Large Deviations

By: D.W. Stroock

Write a review Read reviews Take a Quiz Solve Book Puzzle

An Introduction to the Theory of Large Deviations

By: D.W. Stroock

These notes are based on a course which I gave during the academic year 1983-84 at the University of Colorado. My intention was to provide both my audience as well as myself with an introduction to the theory of 1arie deviations • The organization of sections 1) through 3) owes something to chance and a great deal to the excellent set of notes written by R. Azencott for the course which he gave in 1978 at Saint-Flour (cf. Springer Lecture Notes in Mathematics 774). To be more precise: it is chance that I was around N. Y. U. at the time'when M. Schilder wrote his thesis. and so it may be considered chance that I chose to use his result as a jumping off point; with only minor variations. everything else in these sections is taken from Azencott. In particular. section 3) is little more than a rewrite of his exoposition of the Cramer theory via the ideas of Bahadur and Zabel. Furthermore. the brief treatment which I have given to the Ventsel-Freidlin theory in section 4) is again based on Azencott's ideas. All in all. the biggest difference between his and my exposition of these topics is the language in which we have written. However. another major difference must be mentioned: his bibliography is extensive and constitutes a fine introduction to the available literature. mine shares neither of these attributes. Starting with section 5).

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

204

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461385148

ISBN 13

9781461385141

An Introduction to the Theory of Large Deviations

By: D.W. Stroock

Write a review Read reviews Take a Quiz Solve Book Puzzle

An Introduction to the Theory of Large Deviations

By: D.W. Stroock

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

204

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461385148

ISBN 13

9781461385141

Book's by D.W. Stroock

Dirichlet Forms

Dirichlet Forms

An Introduction to the Theory of Large Deviations

An Introduction to the Theory of Large Deviations

An Introduction to the Theory of Large Deviations

An Introduction to the Theory of Large Deviations

Username

Password

Username

Password

Password again

Birthday

Email