Two-dimensional Gibbsian point processes with continuous spin-symmetries
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We consider two-dimensional marked point processes which are Gibbsian with a two-body-potential U. U is supposed to have an internal continuous symmetry. We show that under suitable continuity conditions the considered processes are invariant under the given symmetry. We will achieve this by using Ruelle`s superstability estimates and percolation arguments.
Cite
@article{arxiv.math/0407216,
title = {Two-dimensional Gibbsian point processes with continuous spin-symmetries},
author = {Thomas Richthammer},
journal= {arXiv preprint arXiv:math/0407216},
year = {2007}
}
Comments
22 pages