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Titlebook: Interacting Stochastic Systems; Jean-Dominique Deuschel,Andreas Greven Book 2005 Springer-Verlag Berlin Heidelberg 2005 Branching process.

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A Survey of Rigorous Results on Random Schrödinger Operators for Amorphous Solidsstates. Available results on Anderson localization concern the almost-sure pure-point nature of the low-energy spectrum in case of certain Gaussian random potentials for arbitrary space dimension. Moreover, under slightly stronger conditions all absolute spatial moments of an initially localized wav
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Some Jump Processes in Quantum Field Theoryated, move, and get annihilated. In particular, we sketch a recent proof of global existence of Bell’s process. As an outlook, we suggest how methods of this proof could be applied to similar global existence questions, and underline the particular usefulness of minimal jump rates on manifolds with boundaries.
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Random Dynamical Systems Methods in Ship Stability: A Case Studyrast to the case of periodic excitation, the incorporation of noise leads to scenarios in which capsizing of the ship (i.e. the disappearance of the random attractor) is not preceded by a series of bifurcations, but happens without announcement “out of the blue sky”.
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The Parabolic Anderson Modelegularity assumptions, there are only four different universality classes of asymptotic behaviors. Finally, we study the moment Lyapunov exponents for space-time homogeneous catalytic potentials generated by a Poisson field of random walks.
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Stochastic Insertion-Deletion Processes and Statistical Sequence Alignmentnt estimation. We discuss a variant of the Thorne-Kishino-Felsenstein model, having equal rates of insertions and of deletions of sequence fragments, for . ≥ 2 sequences related by a phylogenetic tree. Finally, we review novel approaches to tree reconstruction based on insertion-deletion models.
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