English

Upper bounds for transition probabilities on graphs and isoperimetric inequalities

Probability 2008-01-16 v1

Abstract

In this paper necessary and sufficient conditions are presented for heat kernel upper bounds for random walks on weighted graphs. Several equivalent conditions are given in the form of isoperimetric inequalities.

Keywords

Cite

@article{arxiv.0801.2341,
  title  = {Upper bounds for transition probabilities on graphs and isoperimetric inequalities},
  author = {Andras Telcs},
  journal= {arXiv preprint arXiv:0801.2341},
  year   = {2008}
}

Comments

graphics are not included

R2 v1 2026-06-21T10:03:11.082Z