English

Russo's formula for random interlacements

Probability 2015-07-01 v2

Abstract

In this paper we obtain a couple of explicit expressions for the derivative of the probability of an increasing event in the random interlacements model. The event is supported in a finite subset of the lattice, and the derivative is with respect to the intensity parameter of the model.

Cite

@article{arxiv.1412.0971,
  title  = {Russo's formula for random interlacements},
  author = {Diego F. de Bernardini and Serguei Popov},
  journal= {arXiv preprint arXiv:1412.0971},
  year   = {2015}
}

Comments

14 pages, 3 figures, added section, accepted for publication in the Journal of Statistical Physics

R2 v1 2026-06-22T07:18:14.887Z