15 citations · 43 across the 15 of their papers we have counts for
16 papers
Recurrence of multidimensional affine recursions in the critical case
Richard Aoun, Sara Brofferio, Marc Peigné
We prove, under different natural hypotheses, that the random multidimensional affine recursion , is recurrent in the critical case. In…
Unique ergodicity for random noninvertible maps on an interval
Sara Brofferio, Hanna Oppelmayer, Tomasz Szarek
In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval . We provide a handy condition for unique ergodicity for systems that ar…
Asymptotically linear iterated function systems on the real line
Gerold Alsmeyer, Sara Brofferio, Dariusz Buraczewski
Given a sequence of i.i.d. random functions , , we consider the iterated function system and Markov chain which is recursively define…
On uniqueness of invariant measures for random walks on HOMEO(R)
Sara Brofferio, Dariusz Buraczewski, Tomasz Szarek
We consider random walks on the group of orientation-preserving homeomorphisms of the real line . In particular, the fundamental question of uniqueness of an invariant…
On the affine recursion on
Sara Brofferio, Marc Peigné, Thi Da Cam Pham
We fix and denote the semi-group of matrices with non negative entries. We consider a sequence of i. i. d. random vari…
A construction of the measurable Poisson boundary: from discrete to continuous groups
Sara Brofferio
Let be a dense countable subgroup of a locally compact continuous group . Take a probability measure on . There are two natural spaces of harmonic functions: the spac…