On the speed of propagation for stochastic Hamilton-Jacobi equations – Paul Gassiat (Université Paris Dauphine)

We study the speed of propagation of initial data for Hamilton-Jacobi equations with multiplicative rough (typically stochastic) time dependence. We first show that, in contrast with the classical (deterministic) case, in general this speed may be…

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A weak universality result for the parabolic Anderson model – Nicolas Perkowski (Humboldt-Universität zu Berlin)

We consider a class of nonlinear population models on a two-dimensional lattice which are influenced by a small random potential, and we show that on large temporal and spatial scales the population density is well described by the continuous…

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Chemical reaction networks: deterministic and stochastic models – Daniele Cappelletti (University of Wisconsin – Madison)

Chemical reaction networks are mathematical models used in biochemistry, as well as in other fields. Specifically, the time evolution of a system of biochemical reactions are modelled either deterministically, by means of a system of ordinary…

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Averaging along irregular curves and regularization of ODEs – Remi Catellier (Université de Nice Sophia-Antipolis)

Paths of some stochastic processes such as fractional Brownian Motion have some amazing regularization properties. It is well known that in order to have uniqueness in differential systems such as dy_t = b(y_t) dt, b needs to be quite regular.…

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