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8 papers · 2 filters
Scaling limits for symmetric Ito-Levy processes in random medium
Remi Rhodes, Vincent Vargas
We are concerned with scaling limits of the solutions to stochastic differential equations with stationary coefficients driven by Poisson random measures and Brownian motions. We s…
KPZ formula for log-infinitely divisible multifractal random measures
Rémi Rhodes, Vincent Vargas
We consider the continuous model of log-infinitely divisible multifractal random measures (MRM) introduced in \cite{bacry} . If M is a non degenerate multifractal measure with asso…
Gaussian Multiplicative Chaos revisited
Raoul Robert, Vincent Vargas
In this article, we extend the theory of multiplicative chaos for positive definite functions in Rd of the form f(x) = 2 ln+ T|x|+ g(x) where g is a continuous and bounded function…
Large scale behavior of semiflexible heteropolymers
Francesco Caravenna, Giambattista Giacomin, Massimiliano Gubinelli
We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the chain (the disorder) are modeled i…
Density fluctuations for a zero-range process on the percolation cluster
Patricia Goncalves, Milton Jara
We prove that the density fluctuations for a zero-range process evolving on the supercritical percolation cluster are given by a generalized Ornstein-Uhlenbeck process in the space…
Energy transport in stochastically perturbed lattice dynamics
Giada Basile, Stefano Olla, Herbert Spohn
We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order \varepsilon\^-1 the local spectral density (Wigner…