2 citations · 2 across the 4 of their papers we have counts for
4 papers
Internal Diffusion Limited Aggregation on discrete groups having exponential growth
Sebastien Blachere, Sara Brofferio
The Internal Diffusion Limited Aggregation has been introduced by Diaconis and Fulton in 1991. It is a growth model defined on an infinite set and associated to a Markov chain on t…
The Poisson boundary of random rational affinities
Sara Brofferio
The group of affine transformations with rational coefficients acts naturally on the real line, but also on the -adic fields. The aim of this note is to show that, for random wa…
Poisson boundary for finitely generated groups of rational affinities
Sara Brofferio
The group of affine transformations with rational coefficients, , acts naturally on the real line, but also on the -adic fields. The aim of this note is to show that all…
Renewal theory on the oriented tree
Sara Brofferio
The affine group of a tree is the group of the isometries of a homogeneous tree that fix an end of its boundary. Consider a probability measure on this group and the associated ran…