5 papers
Large deviation principles for non-elementary random walks on hyperbolic spaces
Cagri Sert, Alessandro Sisto
We show that the displacement and translation distance of non-elementary random walks on isometry groups of hyperbolic spaces satisfy large deviation principles with the same rate…
Markov Random Walks on Homogeneous Spaces and Diophantine Approximation on Fractals
Roland Prohaska, Cagri Sert
In a first part, using the recent measure classification results of Eskin--Lindenstrauss, we give a criterion to ensure a.s. equidistribution of empirical measures of an i.i.d. ran…
A strongly irreducible affine iterated function system with two invariant measures of maximal dimension
Ian D. Morris, Cagri Sert
A classical theorem of Hutchinson asserts that if an iterated function system acts on by similitudes and satisfies the open set condition then it admits a unique sel…
Measure rigidity for horospherical subgroups of groups acting on trees
Corina Ciobotaru, Vladimir Finkelshtein, Cagri Sert
We investigate analogues of some of the classical results in homogeneous dynamics in non-linear setting. Let be a closed subgroup of the group of automorphisms of a biregular t…
Joint spectrum and large deviation principle for random matrix products
Cagri Sert
The aim of this note is to announce some results about the probabilistic and deterministic asymptotic properties of linear groups. The first one is the analogue, for norms of rando…