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Large deviations for multiplicative chaos
Authors:P. Collet  F. Koukiou
Affiliation:(1) Centre de Physique Théorique, Ecole Polytechnique, F-91128 Palaiseau Cedex, France
Abstract:The local singularities for a class of random measures, obtained by random iterated multiplications, are investigated using the thermodynamic formalism. This analysis can be interpreted as a rigorous study of the phase transition of a system with random interactions.Partially supported by SCIENCE grant CT000307UPR A014 du CNRS
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