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Ruelle's probability cascades seen as a fragmentation process

Anne-Laure Basdevant
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Abstract

In this paper, we study Ruelle's probability cascades in the framework of time-inhomogeneous fragmentation processes. We describe Ruelle's cascades mechanism exhibiting a family of measures $(ν_t,t\in [0,1[)$ that characterizes its infinitesimal evolution. To this end, we will first extend the time-homogeneous fragmentation theory to the inhomogeneous case. In the last section, we will study the behavior for small and large times of Ruelle's fragmentation process.

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Anne-Laure Basdevant. 2005-01-06. Ruelle's probability cascades seen as a fragmentation process. https://arxiv.org/abs/math/0501088

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