11 citations · 27 across the 17 of their papers we have counts for
6 papers · 1 filter
(Non)-escape of mass and equidistribution for horospherical actions on trees
Corina Ciobotaru, Vladimir Finkelshtein, Cagri Sert
Let be a large group acting on a biregular tree and a geometrically finite lattice. In an earlier work, the authors classified orbit closures of the action of the…
A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures
Ian D. Morris, Cagri Sert
A well-known theorem of J.E. Hutchinson states that if an iterated function system consists of similarity transformations and satisfies the open set condition then its attractor su…
Law of large numbers for the spectral radius of random matrix products
Richard Aoun, Cagri Sert
We prove that the spectral radius of an i.i.d.\ random walk on $\GL_d(\C)$ satisfies a strong law of large numbers under finite second moment assumption and a weak law of large num…
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…