22 citations · 43 across the 3 of their papers we have counts for
3 papers
math.PR2008★ 3 cited
On the Purity of the free boundary condition Potts measure on random trees
M. Formentin, C. Kuelske
We consider the free boundary condition Gibbs measure of the Potts model on a random tree. We provide an explicit temperature interval below the ferromagnetic transition temperatur…
math.PR2008★ 18 cited
Continuous Spin Mean-Field models: Limiting kernels and Gibbs Properties of local transforms
C. Kuelske, A. A. Opoku
We extend the notion of Gibbsianness for mean-field systems to the set-up of general (possibly continuous) local state spaces. We investigate the Gibbs properties of systems arisin…
math.PR2007★ 22 cited
Parking on a Random Tree
H. Dehling, S. R. Fleurke, C. Kuelske
Consider an infinite tree with random degrees, i.i.d. over the sites, with a prescribed probability distribution with generating function G(s). We consider the following variation…