Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Hilário, Marcelo R."'
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 article, we prove a lower bound for the fluctuations of symmetric random walks on dynamic random environments in dimension $1 + 1$ in the perturbative regime where the walker is weakly influenced by the environment. We suppose that the random
Externí odkaz:
http://arxiv.org/abs/2304.05771
We establish a strong law of large numbers for one-dimensional continuous-time random walks in dynamic random environments under two main assumptions: the environment is required to satisfy a decoupling inequality that can be interpreted as a bound o
Externí odkaz:
http://arxiv.org/abs/2205.00282
We study a dependent site percolation model on the $n$-dimensional Euclidean lattice where, instead of single sites, entire hyperplanes are removed independently at random. We extend the results about Bernoulli line percolation showing that the model
Externí odkaz:
http://arxiv.org/abs/2007.05115
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
Let $\{\xi_i\}_{i \geq 1}$ be a sequence of i.i.d.\ positive random variables. Starting from the usual square lattice replace each horizontal edge that links a site in $i$-th vertical column to another in the $(i+1)$-th vertical column by an edge hav
Externí odkaz:
http://arxiv.org/abs/1912.03320
We investigate the long-term behavior of a random walker evolving on top of the simple symmetric exclusion process (SSEP) at equilibrium, in dimension one. At each jump, the random walker is subject to a drift that depends on whether it is sitting on
Externí odkaz:
http://arxiv.org/abs/1906.03167
In this paper we study random walks on dynamical random environments in $1 + 1$ dimensions. Assuming that the environment is invariant under space-time shifts and fulfills a mild mixing hypothesis, we establish a law of large numbers and a concentrat
Externí odkaz:
http://arxiv.org/abs/1805.09750
Autor:
Blondel, Oriane, Hilario, Marcelo R., Santos, Renato Soares dos, Sidoravicius, Vladas, Teixeira, Augusto
We study the evolution of a random walker on a conservative dynamic random environment composed of independent particles performing simple symmetric random walks, generalizing results of [16] to higher dimensions and more general transition kernels w
Externí odkaz:
http://arxiv.org/abs/1709.01253
Autor:
Blondel, Oriane, Hilario, Marcelo R., Santos, Renato Soares dos, Sidoravicius, Vladas, Teixeira, Augusto
We consider a random walker in a dynamic random environment given by a system of independent simple symmetric random walks. We obtain ballisticity results under two types of perturbations: low particle density, and strong local drift on particles. Su
Externí odkaz:
http://arxiv.org/abs/1709.01257