### List of (confirmed) speakers

Cédric Bernardin, ÉNS Lyon

Arnaud Debussche, ENS Bretagne et IRMAR

Arnaud Guillin, Université de Clermont-Ferrand

Tony Lelièvre, ÉNPC-Paris Est

Jan Maas, University of Bonn

Laurent Miclo, Université of Toulouse

Yann Ollivier, Université Paris-Sud

Grigorios Pavliotis, Imperial College Londres

Laurent Thomann, Université de Nantes

Vincent Vargas, Université Paris Dauphine

### Titles and abstracts

**Cedric Bernardin**(ENS Lyon) :

*Anomalous diffusion in Hamiltonian systems perturbed by a conservative noise*

**Arnaud Debussche**(ENS Bretagne et IRMAR) :

*Existence of densities for stochastic equations with non smooth coefficients.*

of densities. It has the advantage that it does not use Malliavin

calculus and thus can be applied to more general equations.

On another hand, the obtained densities have low regularity.

They are in the Besov spaces $B^{s}_{1,\infty}$ with $s$ positive

but small.

We apply this method to the stochastic Navier-Stokes equations

in dimension $3$ and to Levy driven stochastic differential

equations with H\"older coefficients.

These results are obtained in collaboration with N. Fournier

and M. Romito.

**Arnaud Guillin**(Clermont Ferrand) :

*Inegalites locales pour des diffusions non reversibles.*

**Tony Lelièvre**(Paris, Cermics) :

*Optimal scaling of the transient phase of Metropolis Hastings algorithms*

This is a joint work with B. Jourdain and B. Miasojedow.

**Jan Maas**(Bonn) :

*Approximating rough stochastic PDEs*

**Laurent Miclo**(Toulouse III) :

*On hyperboundedness and spectrum of Markov operators.*

**Yann Ollivier**(Paris, Orsay) :

*Curvature of Markov chains and processes, with applications.*

space, which can be traced back to Dobrushin in the 1960's and connects it

to Riemannian geometry, is a useful tool for proving convergence results

for the process as well as various concentration and functional

inequalities. We will present this criterion and focus on its

applications. These range from new and sometimes near-optimal

concentration inequalities for Monte Carlo Markov chain simulation

techniques (work with Alderic Joulin), such as waiting queues, to

improvement in classical estimates for differential geometry, such as the

spectral gap of the Laplace-Beltrami operator, to spectral gap estimates

for some semi-elliptic diffusions (work of Laurent Veysseire).

**Grigorios Pavliotis**(Londres, Imperial College) :

*Convergence to equilibrium for nonreversible diffusions.*

**Laurent Thomann**(Nantes) :

*Nonlinear Schrödinger equation and random initial conditions.*

**Vincent Vargas**(Paris Dauphine) :

*Liouville Brownian motion.*