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math.PR2026
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…
math.PR2026
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…
math.PR2026
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…