Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Kuelske, Christof"'
We consider the Widom--Rowlinson model in which hard disks of two possible colors are constrained to a hard-core repulsion between particles of different colors, in quenched random environments. These random environments model spatially dependent pre
Externí odkaz:
http://arxiv.org/abs/2311.07146
We prove the continuity of the extremal decomposition measure of the free state of low temperature Potts models, and more generally of ferromagnetic finite-spin models, on a regular tree, including general clock models. The decomposition is supported
Externí odkaz:
http://arxiv.org/abs/2310.11101
Publikováno v:
Markov Processes Relat. Fields, Vol. 29, Issue 5, pp. 641-659 (2023)
We consider the i.i.d. Bernoulli field $\mu_p$ with occupation density $p \in (0,1)$ on a possibly non-regular countably infinite tree with bounded degrees. For large $p$, we show that the quasilocal Gibbs property, i.e. compatibility with a suitable
Externí odkaz:
http://arxiv.org/abs/2304.03102
We consider general classes of gradient models on regular trees with values in a countable Abelian group $S$ such as $\mathbb{Z}$ or $\mathbb{Z}_q$, in regimes of strong coupling (or low temperature). This includes unbounded spin models like the p-SO
Externí odkaz:
http://arxiv.org/abs/2302.05398
We consider $\mathbb Z$-valued $p$-SOS-models with nearest neighbor interactions of the form $|\omega_v-\omega_w|^p$, and finite-spin ferromagnetic models on regular trees. This includes the classical SOS-model, the discrete Gaussian model and the Po
Externí odkaz:
http://arxiv.org/abs/2207.10206
We consider the locally thinned Bernoulli field on $\mathbb Z^d$, which is the lattice version of the Type-I Mat\'ern hardcore process in Euclidean space. It is given as the lattice field of occupation variables, obtained as image of an i.i.d. Bernou
Externí odkaz:
http://arxiv.org/abs/2201.02651
Autor:
Jahnel, Benedikt, Kuelske, Christof
We consider the i.i.d. Bernoulli field $\mu_p$ on $\mathbb{Z}^d$ with occupation density $p\in [0,1]$. To each realization of the set of occupied sites we apply a thinning map that removes all occupied sites that are isolated in graph distance. We sh
Externí odkaz:
http://arxiv.org/abs/2109.13997
Autor:
Henning, Florian, Kuelske, Christof
Publikováno v:
Ann. Appl. Prob. 33 (4) 3010-3038, August 2023
We provide an existence theory for gradient Gibbs measures for Z-valued spin models on regular trees which are not invariant under translations of the tree, assuming only summability of the transfer operator. The gradient states we obtain are delocal
Externí odkaz:
http://arxiv.org/abs/2102.11899
Publikováno v:
Ann. Inst. H. Poincar\'e Probab. Statist. 59 (1), 325-344, (February 2023)
We consider the soft-core Widom-Rowlinson model for particles with spins and holes, on a Cayley tree of order $d$ (which has $d + 1$ nearest neighbours), depending on repulsion strength $\beta$ between particles of different signs and on an activity
Externí odkaz:
http://arxiv.org/abs/2012.09718
Autor:
Kuelske, Christof, Meissner, Daniel
We consider the Curie-Weiss Potts model in zero external field under independent symmetric spin-flip dynamics. We investigate dynamical Gibbs-non-Gibbs transitions for a range of initial inverse temperatures beta<3, which covers the phase transition
Externí odkaz:
http://arxiv.org/abs/2011.00350