Jansen, Sabine (2016) Continuum percolation for Gibbsian point processes with attractive interactions. Electronic Journal of Probability, 21. p. 47. ISSN 1083-6489
![]() |
PDF
- Published Version
Available under License Creative Commons Attribution. Download (392kB) |
Abstract
We study the problem of continuum percolation in infinite volume Gibbs measures for particles with an attractive pair potential, with a focus on low temperatures (large β). The main results are bounds on percolation thresholds ρ ± (β) in terms of the density rather than the chemical potential or activity. In addition, we prove a variational formula for a large deviations rate function for cluster size distributions. This formula establishes a link with the Gibbs variational principle and a form of equivalence of ensembles, and allows us to combine knowledge on finite volume, canonical Gibbs measures with infinite volume, grand-canonical Gibbs measures
Item Type: | Article |
---|---|
Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Research Centres and Groups: | Probability and Statistics Research Group |
Subjects: | Q Science > QA Mathematics |
Depositing User: | Richard Chambers |
Date Deposited: | 13 Jan 2017 15:16 |
Last Modified: | 23 Jan 2018 10:31 |
URI: | http://srodev.sussex.ac.uk/id/eprint/66148 |
View download statistics for this item
📧 Request an update