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math.PR2026
Small time asymptotics for kinetic SDEs with singular drift
Chongyang Ren, Saisai Yang, Tusheng Zhang
We study small-time asymptotics for kinetic stochastic differential equations with singular drifts in kinetic Kato classes. We establish a small-time large deviation principle and…
math.PR2026
Small-time asymptotics of heat kernels of one-dimensional diffusions in a random environment
Yiduo Wang, Saisai Yang, Tusheng Zhang
We establish the Varadhan small-time asymptotics for the quenched and annealed heat kernels of one-dimensional diffusions in a random environment with generator $\mathcal L_W f(x)=…
math.PR2026
Small-time annealed large deviations principle for one-dimensional diffusions in a random environment
Yiduo Wang, Saisai Yang, Tusheng Zhang
In this paper, we establish a small-time annealed path large deviation principle for one-dimensional diffusions in a random environment associated with the generator ${\mathcal L}_…