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arXiv · 1903.09547

Probability distributions with singularities

Federico Corberi·Alessandro Sarracino
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Abstract

In this paper we review some general properties of probability distributions which exibit a singular behavior. After introducing the matter with several examples based on various models of statistical mechanics, we discuss, with the help of such paradigms, the underlying mathematical mechanism producing the singularity and other topics such as the condensation of fluctuations, the relationships with ordinary phase-transitions, the giant response associated to anomalous fluctuations, and the interplay with Fluctuation Relations.

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Federico Corberi, Alessandro Sarracino. 2019-03-22. Probability distributions with singularities. https://doi.org/10.3390/e21030312

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