2 papers
math.PR2025
Energy growth for systems of coupled oscillators with partial damping
Dmitry Dolgopyat, Bassam Fayad, Leonid Koralov +1
We consider two interacting particles on the circle. The particles are subject to stochastic forcing, which is modeled by white noise. In addition, one of the particles is subject…
math.PR2025
Local limit theorem for time-inhomogeneous functions of Markov processes
Leonid Koralov, Shuo Yan
In this paper, we consider a continuous-time Markov process and prove a local limit theorem for the integral of a time-inhomogeneous function of the process. One application is in…