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Probability Distributions with Singularities

Federico Corberi, Alessandro Sarracino

2019Englishprobability distributionslarge deviationsphase transitionsfluctuationscondensationstatistical mechanics

Abstract

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In this paper we review some general properties of probability distributions which exhibit 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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@article{e4c7ef16-6240-441e-9c2e-75ace1b05213,
  title={Probability Distributions with Singularities},
  author={Federico Corberi and Alessandro Sarracino},
  year={2019},
  language={English}
}
TY  - JOUR
TI  - Probability Distributions with Singularities
AU  - Federico Corberi
AU  - Alessandro Sarracino
PY  - 2019
LA  - English
ER  -

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