Titlebook: Stochastic Dynamics Out of Equilibrium; Institut Henri Poinc Giambattista Giacomin,Stefano Olla,Gabriel Stoltz Conference proceedings 2019

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On Optimal Decay Estimates for ODEs and PDEs with Modal Decompositiono the unique normalized steady state. The Lyapunov functional is optimal in the sense that it yields decay estimates in .-norm with the sharp exponential decay rate and minimal multiplicative constant. The modal decomposition of the Goldstein-Taylor model leads to the study of a family of 2-dimensio

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Prophylaxis

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Collisional Relaxation and Dynamical Scaling in Multiparticle Collisions Dynamicsthod for a simple model: a one-dimensional gas of point particles interacting through stochastic collisions and admitting three conservation laws (density, momentum and energy). Motivated from problems in fusion plasma physics, we consider an energy-dependent collision rate that accounts for the low

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Stochastic Models of Blood Vessel Growthand nutrients to hypoxic tissue. There is strong coupling between the kinetic parameters of the relevant branching - growth - anastomosis stochastic processes of the capillary network, at the microscale, and the family of interacting underlying biochemical fields, at the macroscale. A hybrid mesosca

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arbiter

Adaptive Importance Sampling with Forward-Backward Stochastic Differential Equationsifferential equations that can be solved efficiently by a least squares Monte Carlo algorithm. We illustrate the approach with a suitable numerical example and discuss the extension of the algorithm to high-dimensional systems.