Zobrazeno 1 - 10
of 70
pro vyhledávání: '"60K35, 82C20"'
Autor:
Baldassarri, Simone, Jacquier, Vanessa
Publikováno v:
J. Stat. Phys. 190:46, 1-44 (2023)
In this paper we analyze the metastable behavior for the Ising model that evolves under Kawasaki dynamics on the hexagonal lattice $\mathbb{H}^2$ in the limit of vanishing temperature. Let $\Lambda\subset\mathbb{H}^2$ a finite set which we assume to
Externí odkaz:
http://arxiv.org/abs/2208.13573
Autor:
Yang, Seoyeon
Publikováno v:
Journal of Statistical Physics volume 190, Article number: 151 (2023)
We study the multi-component Ising model, which is also known as the block Ising model. In this model, the particles are partitioned into a fixed number of groups with a fixed proportion, and the interaction strength is determined by the group to whi
Externí odkaz:
http://arxiv.org/abs/2112.04976
Publikováno v:
Electron. Commun. Probab. 26, 53 (2021)
We consider the symmetric exclusion process on the $d$-dimensional lattice with translational invariant and ergodic initial data. It is then known that as $t$ diverges the distribution of the process at time $t$ converges to a Bernoulli product measu
Externí odkaz:
http://arxiv.org/abs/2101.02487
Autor:
Blanquicett, Daniel
Given a finite family $\mathcal U$ of finite subsets of $\mathbb Z^d\setminus \{0\}$, the $\mathcal U$-$voter\ dynamics$ in the space of configurations $\{+,-\}^{\mathbb Z^d}$ is defined as follows: every $v\in\mathbb Z^d$ has an independent exponent
Externí odkaz:
http://arxiv.org/abs/2003.02420
Autor:
Hoessly, Linard, Mazza, Christian
Publikováno v:
SIAM Journal of Applied Mathematics 2019
We investigate a broad family of non weakly reversible stochastically modeled reaction networks (CRN), by looking at their steady-state distributions. Most known results on stationary distributions assume weak reversibility and zero deficiency. We fi
Externí odkaz:
http://arxiv.org/abs/1809.07361
We consider a class of particle systems described by differential equations (both stochastic and deterministic), in which the interaction network is determined by the realization of an Erd\H{o}s-R\'enyi graph with parameter $p_n\in (0, 1]$, where $n$
Externí odkaz:
http://arxiv.org/abs/1807.10921
Autor:
Hairer, Martin, Iberti, Massimo
We consider the sequence of Gibbs measures of Ising models with Kac interaction defined on a periodic two-dimensional discrete torus near criticality. Using the convergence of the Glauber dynamic proven by H. Weber and J.C. Mourrat and a method by H.
Externí odkaz:
http://arxiv.org/abs/1712.08678
We study a system of branching Brownian motions on $\mathbb R$ with annihilation: at each branching time a new particle is created and the leftmost one is deleted. In [7] it has been studied the case of strictly local creations (the new particle is p
Externí odkaz:
http://arxiv.org/abs/1711.06390
The Branching Brownian Motions (BBM) are particles performing independent Brownian motions in $\mathbb R$ and each particle at rate 1 creates a new particle at her current position; the newborn particle increments and branchings are independent of th
Externí odkaz:
http://arxiv.org/abs/1707.00799
Autor:
Belitsky, V., Schütz, G. M.
We study the $n$-component priority asymmetric simple exclusion process ($n$-ASEP) with reflecting boundaries. We obtain all invariant measures in explicit form and prove reversibility. Using the symmetry of the generator of the process under the qua
Externí odkaz:
http://arxiv.org/abs/1606.04587