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Titlebook: Dynamics and Randomness II; Alejandro Maass,Servet Martínez,Jaime San Martín Conference proceedings 2004 Springer Science+Business Media D

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Stochastic Particle Approximations for Two-Dimensional Navier-Stokes Equations,compressible fluid. We deduce from this approach stochastic particle approximations, which justify the vortex numerical schemes introduced by Chorin to simulate the solutions of the Navier-Stokes equations..After some recalls on the McKean-Vlasov model, we firstly study a Navier-Stokes equation defi
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Random and Universal Metric Spaces,ilistic problems connected with this object. The notion of the universal distance matrix is defined and we proved that the set of such matrices is everywhere dense .. set in weak topology in the cone ℛ. Universality of distance matrix is the necessary and sufficient condition on the distance matrix
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Metastability and Ageing in Stochastic Dynamics, in the case of reversible dynamics, to get very accurate results with comparatively little effort. This methods have also been used in recent joint work with G. Ben Arous and V. Gayrard on the dynamics of the random energy model. The second part of these lectures is devoted to a review of this work.
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Algebraic Systems of Generating Functions and Return Probabilities for Random Walks, then imply that the power series coefficients satisfy power laws with exponent 3/2. Examples of systems obeying the hypotheses include random walks on homogeneous trees and random walks on regular languages.
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