XXIX: 18, 194-201, LNM 1613 (1995)
FRANCHI, Jacques
Chaos multiplicatif : un traitement simple et complet de la fonction de partition (
Statistical mechanics)
Introduced by Mandelbrot (
Comptes Rendus Acad. Sci. 278, 289--292, 1974), the model of multiplicative chaos has since been studied by several mathematicians and physicists. Using a trick of Kahane, this article presents a complete and elementary calculation of the pressure, thereby completing and simplifying previous work by Collet and Koukiou. Moreover it connects the critical temperature to the entropy, and gives a necessary and sufficient condition for finiteness of the critical temperature
Keywords: Multiplicative chaos,
Partition function,
Pressure,
Critical temperatureNature: Original
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