Moderate deviations for diffusions with Brownian potentials
Moderate deviations for diffusions with Brownian potentials
We present precise moderate deviation probabilities, in both quenched and annealed settings, for a recurrent diffusion process with a Brownian potential. Our method relies on fine tools in stochastic calculus, including Kotaniās lemma and Lampertiās representation for exponential functionals. In particular, our result for quenched moderate deviations is in agreement ā¦