72 citations · 481 across the 42 of their papers we have counts for
55 papers
The non-peripheral curve graph and divergence in big mapping class groups
Assaf Bar-Natan, Yulan Qing, Kasra Rafi
We introduce a numerical invariant measuring the end-complexity of and use it to organize coarse-geometric features of Map(). Our main tool is the \emph{non-periphera…
Thurston geodesics: no backtracking and active intervals
Anna Lenzhen, Babak Modami, Kasra Rafi +1
We develop the notion of the active interval for a subsurface along a geodesic in the Thurston metric on Teichmuller space of a surface S. That is, for any geodesic in the Thurston…
The quasi-redirecting Boundary
Yulan Qing, Kasra Rafi
We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi-geodesic rays and the s…
Random walks on groups and superlinear divergent geodesics
Kunal Chawla, Inhyeok Choi, Vivian He +1
In this paper, we study random walks on groups that contain superlinear divergent geodesics, in the line of thoughts of Goldsborough-Sisto. The existence of a superlinear divergent…
Fibered 3-manifolds and Veech groups
Christopher J. Leininger, Kasra Rafi, Nicholas Rouse +2
We study Veech groups associated to the pseudo-Anosov monodromies of fibers and foliations of a fixed hyperbolic 3-manifold. Assuming Lehmer's Conjecture, we prove that the Veech g…
Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space
Ilya Gekhtman, Yulan Qing, Kasra Rafi
We show that the sublinearly Morse directions in the visual boundary of a rank-1 CAT(0) space with a geometric group action are generic in several commonly studied senses of the wo…