Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Saglietti, Santiago"'
Autor:
Louidor, Oren, Saglietti, Santiago
We consider a continuous time simple random walk on a subset of the square lattice with wired boundary conditions: the walk transitions at unit edge rate on the graph obtained from the lattice closure of the subset by contracting the boundary into on
Externí odkaz:
http://arxiv.org/abs/2406.11034
We introduce and study a non-oriented first passage percolation model having a property of statistical invariance by time reversal. This model is defined in a graph having directed edges and the passage times associated with each set of outgoing edge
Externí odkaz:
http://arxiv.org/abs/2310.17123
Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of $\mathbb{Z}$ and stick to the interface at the first point of contact, causing it to grow. We consider an alt
Externí odkaz:
http://arxiv.org/abs/2203.06133
Publikováno v:
In Stochastic Processes and their Applications September 2024 175
For a random walk in a uniformly elliptic and i.i.d. environment on $\mathbb Z^d$ with $d \geq 4$, we show that the quenched and annealed large deviations rate functions agree on any compact set contained in the boundary $\partial \mathbb{D}:=\{ x \i
Externí odkaz:
http://arxiv.org/abs/2101.04606
In 2003, Varadhan [V03] developed a robust method for proving quenched and averaged large deviations for random walks in a uniformly elliptic and i.i.d. environment (RWRE) on $\mathbb Z^d$. One fundamental question which remained open was to determin
Externí odkaz:
http://arxiv.org/abs/1906.05328
We consider a continuous time random walk on the rooted binary tree of depth $n$ with all transition rates equal to one and study its cover time, namely the time until all vertices of the tree have been visited. We prove that, normalized by $2^{n+1}
Externí odkaz:
http://arxiv.org/abs/1812.10101
Publikováno v:
In Stochastic Processes and their Applications April 2023 158:208-237
Publikováno v:
Electron. J. Probab. 24 (2019), no. 127, 1-20
We give a new criterion for ballistic behavior of random walks in random environments which are low disorder perturbations of the simple symmetric random walk on $\mathbb{Z}^d$, for $d\geq 2$. This extends the results established by Sznitman in 2003
Externí odkaz:
http://arxiv.org/abs/1808.01523
We give necessary and sufficient conditions for laws of large numbers to hold in $L^2$ for the empirical measure of a large class of branching Markov processes, including $\lambda$-positive systems but also some $\lambda$-transient ones, such as the
Externí odkaz:
http://arxiv.org/abs/1711.05674