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

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Coarse-Graining Techniques for (Random) Kac Modelsfield model. For the latter we outline, how various coarse-graining techniques can be used to prove ferromagnetic ordering in dimensions . ≥ 3, small randomness, and low temperatures, uniformly in the range of the interaction.

hemoglobin

Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimatesing to quantum anharmonic crystals. Especially we present a new method to prove existence and a priori estimates for Gibbs mesures on loop lattices, which is based on the alternative characterization of Gibbs measures in terms of their logarithmic derivatives through integration by parts formulas. T

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A Survey of Rigorous Results on Random Schr?dinger Operators for Amorphous Solidss which are ergodic with respect to the full group of Euclidean translations. We give a short, reasonably self-contained survey of rigorous results on such operators, where we allow for the presence of a constant magnetic field. We compile robust properties of the integrated density of states like i

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Random Spectral Distributionss of unitary random matrices (CUE), using creation and annihilation operators from quantum field theory. The result is non-asymptotic and plays a key role in establishing the relation between the local distribution of the zeros of the zeta function and the universal asymptotic local distribution of

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Stochastic Insertion-Deletion Processes and Statistical Sequence Alignmentn a phylogenetic tree. In current practice the estimation of a phylogenetic tree is a two-step procedure: first a multiple alignment is computed and subsequently a phylogenetic tree is reconstructed, based on the alignment. However, it is well known that the alignment and the tree reconstruction pro

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