Two-dimensional Gibbsian point processes with continuous spin-symmetries

Details Two-dimensional Gibbsian point processes with continuous spin-symmetries Two-dimensional Gibbsian point processes with continuous spin-symmetries

2004-07-13

arxiv.org/abs/math/0407216v1

Mathematics

Probability

22 pages

Scientific paper

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.

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