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Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2020

Real-space renormalization for disordered systems at the level of large deviations

Résumé

The real-space renormalization procedures on hierarchical lattices have been much studied for many disordered systems in the past at the level of their typical fluctuations. In the present paper, the goal is to analyze instead the renormalization flows for the tails of probability distributions in order to extract the scalings of their large deviations and the tails behaviors of the corresponding rate functions. We focus on the renormalization rule for the ground-state energy of the Directed Polymer model in a random medium, and study the various renormalization flows that can emerge for the tails as a function of the tails of the initial condition.
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Dates et versions

hal-02994905 , version 1 (24-04-2023)

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Cecile Monthus. Real-space renormalization for disordered systems at the level of large deviations. Journal of Statistical Mechanics: Theory and Experiment, 2020, 2020, pp.013301. ⟨10.1088/1742-5468/ab5d09⟩. ⟨hal-02994905⟩
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