Ruelle's probability cascades seen as a fragmentation process
概率论
2007-05-23 v1
摘要
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 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.
引用
@article{arxiv.math/0501088,
title = {Ruelle's probability cascades seen as a fragmentation process},
author = {Anne-Laure Basdevant},
journal= {arXiv preprint arXiv:math/0501088},
year = {2007}
}