3 papers
math.GR2026
Random quotients preserve acylindrical and hierarchical hyperbolicity
Carolyn Abbott, Daniel Berlyne, Giorgio Mangioni +2
We propose a new model for random quotients of groups using independent random walks. In this model, we show that random quotients of acylindrical hyperbolic groups asymptotically…
math.GT2025
Disintegrating the curve complex
Mladen Bestvina, Kenneth Bromberg, Alexander J. Rasmussen
We study a finite sequence of graphs, beginning with the curve graph and ending with a graph quasi-isometric to a tree. There is a Lipschitz map from one graph in the sequence to t…
math.DS2025
Irrational rotations and 2-filling rays
Lvzhou Chen, Alexander J. Rasmussen
We study a skew product transformation associated to an irrational rotation of the circle [0,1]/~. This skew product keeps track of the number of times an orbit of the rotation lan…