2 citations · 2 across the 4 of their papers we have counts for
9 papers · 1 filter
Stationary probability measures on projective spaces 2: the critical case
Richard Aoun, Cagri Sert
In a previous article, given a finite-dimensional real vector space and a probability measure on with finite first moment, we gave a description of…
A variational principle relating self-affine measures to self-affine sets
Ian D. Morris, Cagri Sert
A breakthrough result of Bárány, Hochman and Rapaport published in 2019 established that every self-affine measure on satisfying certain mild non-degeneracy conditio…
Stationary measures for -actions on homogeneous bundles over flag varieties
Alexander Gorodnik, Jialun Li, Cagri Sert
Let be a real semisimple Lie group with finite centre and without compact factors, a parabolic subgroup and a homogeneous space of admitting an equivariant projec…
Counting and boundary limit theorems for representations of Gromov-hyperbolic groups
Stephen Cantrell, Cagri Sert
Given a Gromov-hyperbolic group endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph under…
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…