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Titlebook: Stochastic and Infinite Dimensional Analysis; Christopher C. Bernido,Maria Victoria Carpio-Berni Conference proceedings 2016 Springer Inte

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Laplace Operators in Gamma Analysis, intensity measure .... . on .. We study a class of Laplace-type operators in .. These operators are defined as generators of certain (local) Dirichlet forms. The main result of the paper is the essential self-adjointness of these operators on a set of ‘test’ cylinder functions on ..
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Completing Canonical Quantization, and Its Role in Nontrivial Scalar Field Quantization,analysis not only supports conventional procedures, it also reveals new quantization procedures that, among several examples, permit nontrivial quantization of scalar field models such as ... for every spacetime dimension . ≥ 2.
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Conference proceedings 2016ferent mathematicaltheories, namely in the theories of stochastic processes, Malliavin calculus,and especially white noise analysis...Theseproceedings are inspired by a conference held on the occasion of Prof. LudwigStreit’s 75th birthday and celebrate his pioneering and ongoing work in thesefields..
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Detecting Hierarchical Communities in Networks: A New Approach,nities, coarsening a network of actors into a more manageable network of communities. The order in which merges should occur is not in general clear, necessitating heuristics for selecting pairs of communities to merge. We describe a hierarchical clustering algorithm based on a local optimality prop
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Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces,mory behavior is calculated by summing over all possible paths within a white noise functional integral framework. Specific examples such as processes in spaces with circular topology and wedges are discussed.
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