Zobrazeno 1 - 10
of 80
pro vyhledávání: '"60K35, 60G55"'
Autor:
Löcherbach, Eva, Laxa, Kádmo
We consider a model for a social network with N interacting social actors. This model is a system of interacting marked point processes in which each point process indicates the successive times in which a social actor expresses a "favorable" (+1) or
Externí odkaz:
http://arxiv.org/abs/2405.18200
Autor:
Chebunin, Mikhail, Last, Günter
We consider a random connection model (RCM) on a general space driven by a Poisson process whose intensity measure is scaled by a parameter $t\ge 0$. We say that the infinite clusters are deletion stable if the removal of a Poisson point cannot split
Externí odkaz:
http://arxiv.org/abs/2403.17762
Autor:
Nicoletti, Matthew
We study the dimer model on special subgraphs of the square hexagon lattice called "tower graphs" of size $N$. Using integrable probability techniques, we confirm that as $N \rightarrow \infty$, the local statistics are translation invariant Gibbs me
Externí odkaz:
http://arxiv.org/abs/2211.14682
Autor:
Manolescu, Ioan, Santoro, Leonardo V.
We answer the following question: if the occupied (or vacant) set of a planar Poisson Boolean percolation model does contain a crossing of an $n\times n$ square, how wide is this crossing? The answer depends on the whether we consider the critical, s
Externí odkaz:
http://arxiv.org/abs/2211.11661
Autor:
Laxa, Kádmo de S.
We consider a finite system of interacting point processes with memory of variable length modeling a finite but large network of spiking neurons with two different leakage mechanisms. Associated to each neuron there are two point processes, describin
Externí odkaz:
http://arxiv.org/abs/2205.05191
Autor:
Betsch, Steffen
Publikováno v:
Journal of Theoretical Probability, Volume 36, pages 2501-2563, (2023)
In the language of random counting measures many structural properties of the Poisson process can be studied in arbitrary measurable spaces. We provide a similarly general treatise of Gibbs processes. With the GNZ equations as a definition of these o
Externí odkaz:
http://arxiv.org/abs/2201.11415
Autor:
Golse, François
Publikováno v:
Kinetic and Related Models 2022
In this note, we propose a slightly different proof of Gallavotti's theorem ["Statistical Mechanics: A Short Treatise", Springer, 1999, pp. 48--55] on the derivation of the linear Boltzmann equation for the Lorentz gas with a Poisson distribution of
Externí odkaz:
http://arxiv.org/abs/2111.15270
We consider the stochastic system of interacting neurons introduced in De Masi et al. (2015) and in Fournier and L\"ocherbach (2016) and then further studied in Erny, L\"ocherbach and Loukianova (2021) in a diffusive scaling. The system consists of N
Externí odkaz:
http://arxiv.org/abs/2111.05213
Autor:
Betsch, Steffen, Last, Günter
Publikováno v:
Annales de l'Institut Henri Poincar\'e, Probabilit\'es et Statistiques, Volume 59, Issue 2, pages 706-725, (2023)
We prove that the distribution of a Gibbs process with non-negative pair potential is uniquely determined as soon as an associated Poisson-driven random connection model (RCM) does not percolate. Our proof combines disagreement coupling in continuum
Externí odkaz:
http://arxiv.org/abs/2108.06303
Autor:
Erny, Xavier
Publikováno v:
Mathematical Neuroscience and Applications, Volume 2 (August 25, 2022) mna:7570
We study a model of interacting neurons. The structure of this neural system is composed of two layers of neurons such that the neurons of the first layer send their spikes to the neurons of the second one: if $N$ is the number of neurons of the firs
Externí odkaz:
http://arxiv.org/abs/2106.05008