34 citations · 324 across the 55 of their papers we have counts for
4 papers · 1 filter
Matings, holomorphic correspondences, and a Bers slice
Mahan Mj, Sabyasachi Mukherjee
There are two frameworks for mating Kleinian groups with rational maps on the Riemann sphere: the algebraic correspondence framework due to Bullett-Penrose-Lomonaco \cite{BP94,BL20…
The Sullivan dictionary and Bowen-Series maps
Mahan Mj, Sabyasachi Mukherjee
The Sullivan dictionary between Kleinian groups and rational dynamics describes striking similarities between the fields, both in terms of the objects of study as well as the techn…
Combining Rational maps and Kleinian groups via orbit equivalence
Mahan Mj, Sabyasachi Mukherjee
We develop a new orbit equivalence framework for holomorphically mating the dynamics of complex polynomials with that of Kleinian surface groups. We show that the only torsion-free…
Stable Random Fields, Patterson-Sullivan measures and Extremal Cocycle Growth
Jayadev Athreya, Mahan Mj, Parthanil Roy
We study extreme values of group-indexed stable random fields for discrete groups acting geometrically on spaces in the following cases: 1) acts freely, properly discon…