3 papers
math.GT2026
Finiteness of Cannon--Thurston fibers
Indranil Bhattacharyya, Rakesh Halder, Nir Lazarovich +1
Let be a proper map between proper hyperbolic metric spaces. A Cannon--Thurston map is a continuous extension . We prove that in most known sett…
math.GR2025
Hausdorff Dimension of non-conical and Myrberg limit sets
Mahan Mj, Wenyuan Yang
In this paper, we develop techniques to study the Hausdorff dimensions of non-conical and Myrberg limit sets for groups acting on negatively curved spaces. We establish maximality…
math.PR2024
Randomized Geodesic Flow on Hyperbolic Groups
Luzie Kupffer, Mahan Mj, Chiranjib Mukherjee
Motivated by Gromov's geodesic flow problem on hyperbolic groups , we develop in this paper an analog using random walks. This leads to a notion of a harmonic analog of the…