Zobrazeno 1 - 10
of 690
pro vyhledávání: '"P, Jahnel"'
We consider general continuum percolation models obeying sparseness, translation invariance, and spatial decorrelation. In particular, this includes models constructed on general point sets other than the standard Poisson point process or the Bernoul
Externí odkaz:
http://arxiv.org/abs/2411.10333
We prove the Gibbs variational principle for the Asakura--Oosawa model in which particles of random size obey a hardcore constraint of non-overlap and are additionally subject to a temperature-dependent area interaction. The particle size is unbounde
Externí odkaz:
http://arxiv.org/abs/2408.17170
We consider the soft Boolean model, a model that interpolates between the Boolean model and long-range percolation, where vertices are given via a stationary Poisson point process. Each vertex carries an independent Pareto-distributed radius and each
Externí odkaz:
http://arxiv.org/abs/2404.13730
Autor:
Jahnel, Benedikt, Rozikov, Utkir
We investigate the finite-state $p$-solid-on-solid model, for $p=\infty$, on Cayley trees of order $k\geq 2$ and establish a system of functional equations where each solution corresponds to a (splitting) Gibbs measure of the model. Our main result i
Externí odkaz:
http://arxiv.org/abs/2404.03297
We derive large- and moderate-deviation results in random networks given as planar directed navigations on homogeneous Poisson point processes. In this non-Markovian routing scheme, starting from the origin, at each consecutive step a Poisson point i
Externí odkaz:
http://arxiv.org/abs/2403.14295
We exhibit a percolating ergodic and isotropic lattice model in all but at least two dimensions that has zero effective conductivity in all spatial directions and for all non-trivial choices of the connectivity parameter. The model is based on the so
Externí odkaz:
http://arxiv.org/abs/2403.06785
Autor:
Köppl, Jonas, Jahnel, Benedikt
We provide a class of examples of interacting particle systems on $\mathbb{Z}^d$, for $d\in\{1,2\}$, that admit a unique translation-invariant stationary measure, which is not the long-time limit of all translation-invariant starting measures, due to
Externí odkaz:
http://arxiv.org/abs/2402.12300
Autor:
Jahnel, Benedikt, Rozikov, Utkir
We consider a version of the solid-on-solid model on the Cayley tree of order two in which vertices carry spins of value $0,1$ or $2$ and the pairwise interaction of neighboring vertices is given by their spin difference to the power $p>0$. We exhibi
Externí odkaz:
http://arxiv.org/abs/2402.09839
We present a process-level Poisson-approximation result for the degree-k vertices in a high-density weighted random connection model with preferential-attachment kernel in the unit volume. Our main focus lies on the impact of the left tails of the we
Externí odkaz:
http://arxiv.org/abs/2311.12643
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