11 citations · 27 across the 17 of their papers we have counts for
22 papers
Transient random walks on the space of lattices
Axel Péneau, Cagri Sert
Given , we construct a Zariski-dense random walk on the space of lattices SLSL that exhibits escape of mass. This negates the suggestion of…
Projections of self-affine fractals
Ian Morris, Cagri Sert
We extend Falconer's 1988 landmark result on the dimensions of self-affine fractals to encompass the dimensions of their projections, showing furthermore that their families of exc…
The joint translation spectrum and Manhattan manifolds
Stephen Cantrell, Eduardo Reyes, Cagri Sert
We define and study geometric versions of the Benoist limit cone and matrix joint spectrum, which we call the translation cone and the joint translation spectrum, respectively. The…
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…