16 citations · 46 across the 33 of their papers we have counts for
33 papers · 1 filter
Large deviations for long-time occupation measures of stochastic evolution equations with small, asymptotically rough noise
Amarjit Budhiraja, Sandra Cerrai
We study the long-time, small-noise behavior of a class of dissipative stochastic evolution equations in a separable Hilbert space, driven by a cylindrical Wiener process whose cov…
Exponential decay of mass for inertial coalescing particles with Hamiltonian noise
Sandra Cerrai, Franco Flandoli, Mengzi Xie
We study a system of inertial particles on a two-dimensional torus $\T^2$, evolving under a second-order stochastic dynamics with position-dependent friction and noise ampl…
The inertial Itô drift and its applications to particle collision
Sandra Cerrai, Franco Flandoli, Mengzi Xie
The small mass limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time going to zero, leads to a first order system with an additiona…
Parabolic scaling of a stochastic wave map with co-normal noise: limit and fluctuations
Sandra Cerrai, Mengzi Xie
This paper investigates the parabolic scaling limit of a damped stochastic wave map from the real line into the two-dimensional sphere, perturbed by multiplicative Gaussian noise o…
The small-mass limit for some constrained wave equations with nonlinear conservative noise
Sandra Cerrai, Mengzi Xie
We study the small-mass limit, also known as the Smoluchowski-Kramers diffusion approximation (see \cite{kra} and \cite{smolu}), for a system of stochastic damped wave equations, w…
SPDEs on narrow channels and graphs: convergence and large deviations in case of non smooth noise
Sandra Cerrai, Wen-Tai Hsu
We investigate a class of stochastic partial differential equations of reaction-diffusion type defined on graphs, which can be derived as the limit of SPDEs on narrow planar channe…