English

Improved Estimates of Survival Probabilities via Isospectral Transformations

Dynamical Systems 2012-11-21 v1

Abstract

We consider open systems generated from one-dimensional maps that admit a finite Markov partition and use the recently developed theory of isospectral graph transformations to estimate a system's survival probabilities. We show that these estimates are better than those obtained through a more direct approach.

Keywords

Cite

@article{arxiv.1211.4617,
  title  = {Improved Estimates of Survival Probabilities via Isospectral Transformations},
  author = {Leonid Bunimovich and Benjamin Webb},
  journal= {arXiv preprint arXiv:1211.4617},
  year   = {2012}
}

Comments

13 pages, 6 figures