A formal view on 2.5 large deviations and fluctuation relations
arXiv:1408.5033 · doi:10.1007/s10955-015-1283-0
Abstract
We obtain the rate function for the level 2.5 of large deviations for pure jump and diffusion processes. This result is proved by two methods: tilting, for which a tilted process with an appropriate typical behavior is considered, and a spectral method, for which the scaled cumulant generating function is used. We also briefly discuss fluctuation relations, pointing out their connection with large deviations at the level 2.5.
16 pages