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Field name	Details
Dewey Class	519.2
Title	Continuous Martingales and Brownian Motion ([EBook] /) / by Daniel Revuz, Marc Yor.
Author	Revuz, Daniel
Added Personal Name	Yor, Marc author.
Other name(s)	SpringerLink (Online service)
Edition statement	Corrected Third Printing of the Third Edition.
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1999.
Physical Details	XIII, 602 p. : online resource.
Series	Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 0072-7830 ; ; 293
ISBN	9783662064009
Summary Note	From the reviews: "This is a magnificent book! Its purpose is to describe in considerable detail a variety of techniques used by probabilists in the investigation of problems concerning Brownian motion. The great strength of Revuz and Yor is the enormous variety of calculations carried out both in the main text and also (by implication) in the exercises. ... This is THE book for a capable graduate student starting out on research in probability: the effect of working through it is as if the authors are sitting beside one, enthusiastically explaining the theory, presenting further developments as exercises, and throwing out challenging remarks about areas awaiting further research..." Bull.L.M.S. 24, 4 (1992) Since the first edition in 1991, an impressive variety of advances has been made in relation to the material of this book, and these are reflected in the successive editions.:
Contents note	0. Preliminaries -- I. Introduction -- II. Martingales -- III. Markov Processes -- IV. Stochastic Integration -- V. Representation of Martingales -- VI. Local Times -- VII. Generators and Time Reversal -- VIII. Girsanov’s Theorem and First Applications -- IX. Stochastic Differential Equations -- X. Additive Functionals of Brownian Motion -- XI. Bessel Processes and Ray-Knight Theorems -- XII. Excursions -- XIII. Limit Theorems in Distribution -- §1. Gronwall’s Lemma -- §2. Distributions -- §3. Convex Functions -- §4. Hausdorff Measures and Dimension -- §5. Ergodic Theory -- §6. Probabilities on Function Spaces -- §7. Bessel Functions -- §8. Sturm-Liouville Equation -- Index of Notation -- Index of Terms -- Catalogue.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-06400-9
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Authors: Revuz, Daniel . Yor, Marc . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 519.2 .

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Continuous Martingales and Brownian Motion

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