From Brownian motion to Schrödinger’s equation / Kai Lai Chung, Zhongxin Zhao
Type de document : Livre numériqueCollection : Grundlehren der mathematischen wissenschaften, 312Langue : anglais.Éditeur : Berlin : Springer, 1995ISBN: 9783642578564.ISSN: 0072-7830.Sujet MSC : 60J65, Probability theory and stochastic processes - Markov processes, Brownian motion60-02, Research exposition (monographs, survey articles) pertaining to probability theory
35J10, PDEs - Elliptic equations and elliptic systems, Schrödinger operator, Schrödinger equation
81Q15, General mathematical topics and methods in quantum theory, Perturbation theories for operators and differential equationsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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... The text is essentially self-contained (some parts, however, rely on special properties of the Martin boundary and the Martin kernel in Lipschitz domains) and is very well written. The arguments are given with many details and great care, and are easy to follow even for non-specialists. All in all, this is an excellent book that can be recommended both to probabilists concerned with Brownian motions in domains of the Euclidean space and to analysts interested in the Schrödinger equation (MathSciNet)
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