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Large deviations quantify the occurrence of events that depart from theaverage behavior of a system. In this note we derive an exact expression fortheir moment generating function. This expression offers a new tool toinvestigate the behavior of mesoscopic systems. To illustrate our result, wederive the exact formulae for the current fluctuations in a disordered ring andin a model of ion transport through a membrane.

Exact expression for the large deviations of mesoscopic currents