Moderate deviations for the Langevin equation with strong damping

Abstract

In this paper, we establish a moderate deviations principle for the Langevin dynamics with strong damping. The weak convergence approach plays an important role in the proof.

arXiv comment17 pages

References in corpus (3)

• Large deviations for infinite dimensional stochastic dynamical systems
• Delta method in large deviations and moderate deviations for estimators
• Large Deviations for the Langevin equation with strong damping

Cited by in corpus (2)

• Analytic approaches of the anomalous diffusion: a review
• Large Deviations Principles for Langevin Equations in Random Environment and Applications