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

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Gunnar Berg,Hans-Hermann Hartwichhr?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

極端的正確性

Theory of Martingale Hardy Spaces,n 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

persistence

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Two-Parameter Martingale Hardy spaces,em 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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Overview, further Results and ProblemsIn this chapter we give an overview of known results for Brownian motion and Poissonian obstacles, and discuss some of the connections with other topics of the literature on random media. We also mention a number of currently open problems.

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Brownian Motion, Obstacles and Random Media978-3-662-11281-6Series ISSN 1439-7382 Series E-ISSN 2196-9922

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Alain-Sol SznitmanThis 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.

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