Large Deviation in Harnack type Dirichlet spaces
In the framework of Harnack type Dirichlet forms, we prove a large deviation principle for the asymptotics of reversible Markov processes with rate function given by the energy of the paths.
math.PR↗
arXiv subjects
Ann-Kathrin Jarecki
Publications and source records attributed to Ann-Kathrin Jarecki.
Upper Bound for Large Deviations of Reversible Diffusion Processes
For a Markov process associated with a diffusion type Dirichlet form an upper bound is shown for the law of the finite dimensional distributions of the process. Under some more assumptions on the underlaying space this is also shown for the law of the Markov process itself. In the last section we want to give an application to the Wasserstein diffusion.
math.PR↗