1 citations · 1 across the 4 of their papers we have counts for
6 papers
Scaling limit of the heavy-tailed ballistic deposition model with -sticking
Francis Comets, Joseba Dalmau, Santiago Saglietti
Ballistic deposition is a classical model for interface growth in which unit blocks fall down vertically at random on the different sites of and stick to the interface…
The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramírez +1
For a random walk in a uniformly elliptic and i.i.d. environment on with , we show that the quenched and annealed large deviations rate functions agree on a…
A Scaling Limit for the Cover Time of the Binary Tree
Aser Cortines, Oren Louidor, Santiago Saglietti
We consider a continuous time random walk on the rooted binary tree of depth with all transition rates equal to one and study its cover time, namely the time until all vertices…
New examples of ballistic RWRE in the low disorder regime
Alejandro F. Ramírez, Santiago Saglietti
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 , fo…
On laws of large numbers in for supercritical branching Markov processes beyond -positivity
Matthieu Jonckheere, Santiago Saglietti
We give necessary and sufficient conditions for laws of large numbers to hold in for the empirical measure of a large class of branching Markov processes, including -posit…
Velocity estimates for symmetric random walks at low ballistic disorder
Clément Laurent, Alejandro F. Ramírez, Christophe Sabot +1
We derive asymptotic estimates for the velocity of random walks in random environments which are perturbations of the simple symmetric random walk but have a small local drift in a…