25 citations · 45 across the 17 of their papers we have counts for
5 papers · 1 filter
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…