Large Fluctuations in Stochastically Perturbed Nonlinear Systems: Applications in Computing
chao-dyn
2008-02-03 v1 混沌动力学
摘要
This is the transcript of a talk given at the 1992 Complex Systems Summer School. The theory of large fluctuations of stochastically perturbed continuous-time dynamical systems is reviewed, and the large fluctuations of two stochastic models arising in computer science are analysed. One is a stochastic model of a communications network, resembling an Ethernet, which experiences traffic fluctuations. The other is a simple model of two dynamic data structures in the same memory space. In both models `large fluctuations' are unlikely, undesirable events. The mean time between occurrences of such events is estimated.
引用
@article{arxiv.chao-dyn/9305009,
title = {Large Fluctuations in Stochastically Perturbed Nonlinear Systems: Applications in Computing},
author = {Robert S. Maier},
journal= {arXiv preprint arXiv:chao-dyn/9305009},
year = {2008}
}
备注
LaTeX article style, with 3 accompanying PS figures