English

Diagrammatic bounds on the lace-expansion coefficients for oriented percolation

Probability 2007-08-22 v1 Mathematical Physics math.MP

Abstract

We provide a complete proof of the diagrammatic bounds on the lace-expansion coefficients for oriented percolation, which are used in [arXiv:math/0703455] to investigate critical behavior for long-range oriented percolation above 2\min{\alpha,2} spatial dimensions.

Keywords

Cite

@article{arxiv.0708.2897,
  title  = {Diagrammatic bounds on the lace-expansion coefficients for oriented percolation},
  author = {Akira Sakai},
  journal= {arXiv preprint arXiv:0708.2897},
  year   = {2007}
}

Comments

11 pages, supporting manuscript for [arXiv:math/0703455]

R2 v1 2026-06-21T09:09:26.464Z