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arXiv · 1408.5033

A formal view on 2.5 large deviations and fluctuation relations

Andre C. Barato·Raphael Chetrite
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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.

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BibTeXRIS

Andre C. Barato, Raphael Chetrite. 2014-08-21. A formal view on 2.5 large deviations and fluctuation relations. https://doi.org/10.1007/s10955-015-1283-0

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