24 citations · 24 across the 3 of their papers we have counts for
3 papers
math.PR2008
Percolation of arbitrary words in one dimension
Geoffrey R. Grimmett, Thomas M. Liggett, Thomas Richthammer
We consider a type of long-range percolation problem on the positive integers, motivated by earlier work of others on the appearance of (in)finite words within a site percolation m…
math.PR2007★ 24 cited
Translation-invariance of two-dimensional Gibbsian point processes
Thomas Richthammer
The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbs…
math.PR2004
Two-dimensional Gibbsian point processes with continuous spin-symmetries
Thomas Richthammer
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 suitabl…