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Titlebook: Brownian Motion, Obstacles and Random Media; Alain-Sol Sznitman Book 1998 Springer-Verlag Berlin Heidelberg 1998 Brownian bridge.Brownian

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樓主
發(fā)表于 2025-3-21 19:46:16 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Brownian Motion, Obstacles and Random Media
影響因子2023Alain-Sol Sznitman
視頻videohttp://file.papertrans.cn/192/191326/191326.mp4
發(fā)行地址This book presents a very attractive and active field of research..The approach taken is highly original and personal..It is aimed both at graduate students and researchers.
學科分類Springer Monographs in Mathematics
圖書封面Titlebook: Brownian Motion, Obstacles and Random Media;  Alain-Sol Sznitman Book 1998 Springer-Verlag Berlin Heidelberg 1998 Brownian bridge.Brownian
影響因子The principal purpose of this book is to provide an account of the circle of ideas, results and techniques, which emerged roughly over the last ten years in the study of Brownian motion and random obstacles. The accumulation of results in many separate sources eventually made it impractical, if not impossible, for the nonspecialist to gain access to the developments of the subject. This book is an attempt to remedy this situation. Part of the thrill of the investigation of Brownian motion and random obsta- cles certainly stems from its many connections with various areas of math- ematics, but also from the formal and mysterious physical heuristics which relate to it. In particular the loose concept of pockets of low local eigenval- ues plays an important role in the study of Brownian motion and random obstacles, and also represents a paradigm which has natural resonances with several other areas of random media. This last feature has increasingly be- come clear over the last few years.
Pindex Book 1998
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沙發(fā)
發(fā)表于 2025-3-21 20:20:22 | 只看該作者
Some Potential Theoryollect some results on Green functions. In Section 3 we introduce, à la Chung, equilibrium potentials, equilibrium distributions and capacities by means of last exit distributions. Section 4 develops the maximum principle, the variational principle as well as a number of examples. In Section 5 we li
板凳
發(fā)表于 2025-3-22 01:34:07 | 只看該作者
Some Principal Eigenvalue Estimateshr?dinger semigroups of Chapter 1 and the bottom of their spectrum. General methods and some first examples are discussed in Section 1. Section 2 presents two instances of the profound link between capacity and bottom of the spectrum. In Section 3 we develop certain one-dimensional bounds on princip
地板
發(fā)表于 2025-3-22 06:03:09 | 只看該作者
The Method of Enlargement of Obstaclesn in regions receiving many small and possibly random obstacles. This technique will for instance turn out to be very helpful in the study of various problems related to Poissonian obstacles. The method is outlined in Section 1. The results are then developed in Section 2 (eigenvalue estimates) and
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Quenched Path Measure and Pinning Effectem which also governs the finer asymptotic behavior of the normalizing constant In Section 1 the pinning effect is discussed at a heuristic level. Section 2 shows how a certain weak pinning property can be bootstrapped into a strong pinning property. In Section 3 we introduce a simplified random var
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發(fā)表于 2025-3-23 05:16:08 | 只看該作者
The Causal and Moral Complexity of Politics, the probabilistic functionals we shall study, and begins the discussion of their functional analytic description. Section 2 introduces the class of potential we shall consider in the sequel. Section 3 studies some properties of the semigroups, which are defined in terms of expectations of Brownian
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發(fā)表于 2025-3-23 06:22:45 | 只看該作者
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