3 papers
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.GR2025
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.DS2024
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…