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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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A Bakry-Emery Criterion for Self-Interacting DiffusionsWe give a Bakry-Emery type criterion for self-interacting diffusions on a compact manifold.
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Remarks on 3D Stochastic Navier-Stokes EquationsStochastic Navier-Stokes equations could be a suitable model to address questions of statistical fluid mechanics. For stationary measures arising from the Galerkin scheme, energy balance relations are reviewed, a notion of scaling law inspired by Kolmogorov theory is introduced, and a few results and remarks are given in dimensions 2 and 3.
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Long-Time Behaviour for the Brownian Heat Kernel on a Compact Riemannian Manifold and Bismut’s IntegWe give a probabilistic proof of the classical long-time behaviour of the heat kernel on a compact manifold by using Bismut’s integration-by-parts formula.
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Robert C. Dalang,Francesco Russo,Marco DozziWide range of topics in stochastic analysis and financial engineering.Particular emphasis on applications to fluid dynamics, statistical physics, biology, and mathematical finance.Includes supplementa
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Progress in Probabilityhttp://image.papertrans.cn/s/image/864966.jpg
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https://doi.org/10.1007/978-3-7643-8458-6Brownian motion; Dirichlet form; Gaussian noise; Ornstein-Uhlenbeck process; Stochastic processes; Time s
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