25 citations · 45 across the 17 of their papers we have counts for
21 papers
A Limit in Law for the Cover Time and Last Visited Vertex of Wired Planar Domains
Oren Louidor, Santiago Saglietti
We derive a scaling limit in law for the cover time of a simple random walk on a lattice version of a scaled-up planar domain with wired boundary conditions. The limiting distribut…
A universality property for large deviations of RWRE close to the axis
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We establish a general version of the strong KPZ universality conjecture near the axis for random walks in a random environment (RWRE) on . For an i.i.d. elliptic ran…
GUE Fluctuations Near the Axis in One-Sided Ballistic Deposition
Pablo Groisman, Alejandro F. Ramírez, Santiago Saglietti +1
We introduce a variation of the classic ballistic deposition model in which vertically falling blocks can only stick to the top or the upper right corner of growing columns. We est…
Large deviations at the origin of random walk in random environment
Alexander Drewitz, Alejandro F. Ramírez, Santiago Saglietti +1
We consider a random walk in an i.i.d. random environment on Zd and study properties of its large deviation rate function at the origin. It was proved by Comets, Gantert and Zeitou…
Tightness for the Cover Time of Wired Planar Domains
Oren Louidor, Santiago Saglietti
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…
A non-oriented first passage percolation model and statistical invariance by time reversal
Alejandro F. Ramírez, Santiago Saglietti, Lingyun Shao
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…
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…
Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez +1
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 $\mat…
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…
Absolute continuity of non-homogeneous self-similar measures
Santiago Saglietti, Pablo Shmerkin, Boris Solomyak
We prove that self-similar measures on the real line are absolutely continuous for almost all parameters in the super-critical region, in particular confirming a conjecture of S-M.…
A Strong Law of Large Numbers for Super-critical Branching Brownian Motion with Absorption
Oren Louidor, Santiago Saglietti
We consider a (one-dimensional) branching Brownian motion process with a general offspring distribution having at least two moments, and in which all particles have a drift towards…
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…
On the Kesten-Stigum theorem in beyond -positivity
Matthieu Jonckheere, Santiago Saglietti
We study supercritical branching processes in which all particles evolve according to some general Markovian motion (which may possess absorbing states) and branch independently at…
Stability of gas measures under perturbations and discretizations
Roberto Fernández, Pablo Groisman, Santiago Saglietti
For a general class of gas models ---which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles--- we determine a \emph{diluteness condition} th…
dimensions and projections of random measures
Daniel Galicer, Santiago Saglietti, Pablo Shmerkin +1
We prove preservation of dimensions (for ) under all orthogonal projections for a class of random measures on the plane, which includes (deterministic) homogeneous…
Metastability for small random perturbations of a PDE with blow-up
Pablo Groisman, Santiago Saglietti, Nicolas Saintier
We study small random perturbations by additive space-time white noise of a reaction-diffusion equation with a unique stable equilibrium and solutions which blow up in finite time.…
Metastability for a PDE with blow-up and the FFG dynamics on diluted models
Santiago Saglietti
This thesis consists of two separate parts: in each we study the stability under small perturbations of certain probability models in different contexts. In the first, we study sma…
Small Random Perturbations of a Dynamical System with Blow-up
Pablo Groisman, Santiago Saglietti
We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in fin…