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.
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Communicated by M. Aizenman
Partially supported by SCIENCE grant CT000307
UPR A014 du CNRS
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Collet, P., Koukiou, F. Large deviations for multiplicative chaos. Commun.Math. Phys. 147, 329–342 (1992). https://doi.org/10.1007/BF02096590
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DOI: https://doi.org/10.1007/BF02096590