Titlebook: Brownian Motion and its Applications to Mathematical Analysis; École d‘Été de Proba Krzysztof Burdzy Book 2014 Springer International Publi

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Nodal Lines,The hot spots problem is closely related to the problem of finding the location of the nodal line of the first non-constant eigenfunction. The chapter contains a few results on the latter problem.

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Book 2014n and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in "det

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