Titlebook: Seminar on Stochastic Analysis, Random Fields and Applications V; Centro Stefano Frans Robert C. Dalang,Francesco Russo,Marco Dozzi Confere

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1050-6977 sics, biology, and mathematical finance.Includes supplementa.This volume contains twenty-eight refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verità) in Ascona, Switzerla

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Goblet-Cells

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Critical Exponents for Semilinear PDEs with Bounded Potentialsdratic decay case . (.) ～. a(1 + |x|.)., . > 0, we find two critical exponents .*(.), .*(.) with 0 < .*(.) ≤ .*(.) < 2/., such that any nontrivial positive solution blows up in finite time if 0 < . < .*(.), whereas if .*(.) < ., then nontrivial positive global solutions may exist.

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A One-Dimensional Analysis of Singularities and Turbulence for the Stochastic Burgers Equation in , te how the geometry of the caustic, level surfaces and Maxwell set can change infinitely rapidly causing turbulent behaviour which is stochastic in nature, and we determine its intermittence in terms of the recurrent behaviour of two processes.