15 citations · 67 across the 20 of their papers we have counts for
18 papers · 1 filter
Uniqueness of stationary compatible probability measures for chains of infinite order with forbidden transitions
Christophe Gallesco, Sandro Gallo, Daniel Yasumasa Takahashi
In this paper, we consider chains of infinite order on countable state spaces with prohibited transitions. We give a set of sufficient conditions on the structure of the probabilit…
Critical parameter of the frog model on homogeneous trees with geometric lifetime
Sandro Gallo, Caio Pena
We consider the frog model with geometric lifetime (parameter ) on homogeneous trees of dimension . In 2002, \cite{alves2002-2} proved that there exists a critical lifetime…
Potential well in Poincaré recurrence
Miguel Abadi, Vitor G. de Amorim, Sandro Gallo
From a physical/dynamical system perspective, the potential well represents the proportional mass of points that escape the neighbourhood of a given point. In the last 20 years, se…
Optimal Gaussian concentration bounds for stochastic chains of unbounded memory
J. -R. Chazottes, S. Gallo, D. Takahashi
We obtain optimal Gaussian concentration bounds (GCBs) for stochastic chains of unbounded memory (SCUMs) on countable alphabets. These stochastic processes are also known as "chain…
Non-regular g-measures and variable length memory chains
Ricardo F. Ferreira, Sandro Gallo, Frédéric Paccaut
It is well-known that there always exists at least one stationary measure compatible with a continuous g-function g. Here we prove that if the set of discontinuities of the g-funct…
Frog models on trees through renewal theory
Sandro Gallo, Pablo M. Rodríguez
This paper studies a class of growing systems of random walks on regular trees, known as \emph{frog models with geometric lifetime} in the literature. With the help of results from…