3 papers
math.DS2026
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…
math.PR2025
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…
math.GR2024
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…