Populations of mammalian stem cells commonly exhibit considerable cell-cell variability. However, the functional role of this diversity is unclear. Here, we analyze expression fluctuations of theâ€¦ (More)

In this paper we study the problem of the numerical calculation (by Monte Carlo Methods) of the effective diffusivity for a particle moving in a periodic divergent-free velocity filed, in the limitâ€¦ (More)

We study the problem of homogenization for inertial particles moving in a timedependent random velocity field and subject to molecular diffusion. We show that, under appropriate assumptions on theâ€¦ (More)

In this paper we describe a general framework for deriving modified equations for stochastic differential equations (SDEs) with respect to weak convergence. Modified equations are derived for aâ€¦ (More)

We introduce a new family of explicit integrators for stiff ItÃ´ stochastic differential equations (SDEs) of weak order two. These numerical methods belong to the class of onestep stabilized methodsâ€¦ (More)

We introduce two drift-diagonally-implicit and derivative-free integrators for stiff systems of ItÃ´ stochastic differential equations with general non-commutative noise which have weak order 2 andâ€¦ (More)