34 citations · 324 across the 55 of their papers we have counts for
6 papers · 1 filter
First Passage Percolation on Hyperbolic groups
Riddhipratim Basu, Mahan Mj
We study first passage percolation (FPP) on a Gromov-hyperbolic group with boundary equipped with the Patterson-Sullivan measure . We associate an i.i.d.\ colle…
Cubulating Surface-by-free Groups
Jason F. Manning, Mahan Mj, Michah Sageev
Let be an exact sequence where is the fundamental group of a closed surface of genus greater than one, is hyperbolic and is fi…
Commensurators of thin normal subgroups and abelian quotients
Thomas Koberda, Mahan Mj
We give an affirmative answer to many cases of a question due to Shalom, which asks if the commensurator of a thin subgroup of a Lie group is discrete. In this paper, let b…
Monodromy representations of meromorphic projective structures
Subhojoy Gupta, Mahan Mj
We determine the image of the monodromy map for meromorphic projective structures with poles of orders greater than two. This proves the analogue of a theorem of Gallo-Kapovich-Mar…
Meromorphic projective structures, grafting and the monodromy map
Subhojoy Gupta, Mahan Mj
A meromorphic projective structure on a punctured Riemann surface is determined, after fixing a standard projective structure on , by a meromorphic quadratic diff…
Tight trees and model geometries of surface bundles over graphs
Mahan Mj
We generalize the notion of tight geodesics in the curve complex to tight trees. We then use tight trees to construct model geometries for certain surface bundles over graphs. This…