Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Sanchis, Rémy"'
We explore a bond percolation model on slabs $\mathbb{S}^+_k=\mathbb{Z}_+\times \mathbb{Z}_+\times\{0,\dots,k\}$ featuring one-dimensional inhomogeneities. In this context, a vertical column on the slab comprises the set of vertical edges projecting
Externí odkaz:
http://arxiv.org/abs/2408.10927
In this note, we consider the asymmetric nearest neighbor ferromagnetic Ising model on the $(d+s)$-dimensional unit cubic lattice $\Z^{d+s}$, at inverse temperature $\beta=1$ and with coupling constants $J_s>0$ and $J_d>0$ for edges of $\Z^s$ and $\Z
Externí odkaz:
http://arxiv.org/abs/2404.07079
We revisit the phase transition for percolation on randomly stretched lattices. Starting with the usual square grid, keep all vertices untouched while erasing edges according as follows: for every integer $i$, the entire column of vertical edges cont
Externí odkaz:
http://arxiv.org/abs/2311.14644
In this paper, we investigate the global clustering coefficient (a.k.a transitivity) and clique number of graphs generated by a preferential attachment random graph model with an additional feature of allowing edge connections between existing vertic
Externí odkaz:
http://arxiv.org/abs/2307.03732
We consider bond and site Bernoulli Percolation in both the oriented and the non-oriented cases on $\mathbb{Z}^d$ and obtain rigorous upper bounds for the critical points in those models for every dimension $d \geq 3$.
Comment: 15 pages, without
Comment: 15 pages, without
Externí odkaz:
http://arxiv.org/abs/2106.10388
We consider inhomogeneous non-oriented Bernoulli bond percolation on $\mathbb{Z}^d$, where each edge has a parameter depending on its direction. We prove that, under certain conditions, if the sum of the parameters is strictly greater than 1/2, we ha
Externí odkaz:
http://arxiv.org/abs/2106.09083
We consider the Constrained-degree percolation model in random environment on the square lattice. In this model, each vertex $v$ has an independent random constraint ${\kappa}_v$ which takes the value $j\in \{0,1,2,3\}$ with probability $\rho_j$. Eac
Externí odkaz:
http://arxiv.org/abs/2011.02060
We consider a dilute lattice obtained from the usual $\mathbb{Z}^3$ lattice by removing independently each of its columns with probability $1-\rho$. In the remaining dilute lattice independent Bernoulli bond percolation with parameter $p$ is performe
Externí odkaz:
http://arxiv.org/abs/2004.14739
Autor:
de Lima, Bernardo N. B., Sanchis, Rémy, Santos, Diogo C. dos, Sidoravicius, Vladas, Teodoro, Roberto
In the Constrained-degree percolation model on a graph $(\mathbb{V},\mathbb{E})$ there are a sequence, $(U_e)_{e\in\mathbb{E}}$, of i.i.d. random variables with distribution $U[0,1]$ and a positive integer $k$. Each bond $e$ tries to open at time $U_
Externí odkaz:
http://arxiv.org/abs/2003.12813
We establish central limit theorems for the position and velocity of the charged particle in the mechanical particle model introduced in the paper "Limit velocity for a driven particle in a random medium with mass aggregation" (https://doi.org/10.101
Externí odkaz:
http://arxiv.org/abs/2001.08719