Adam Abrams

activity

20172025

most citedRigidity and flexibility of entropies of boundary maps associated to Fuchsian groups

3 citations · 6 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.DS2019

Finite partitions for several complex continued fraction algorithms

Adam Abrams

We present a property satisfied by a large variety of complex continued fraction algorithms (the "finite building property") and use it to explore the structure of bijectivity doma…

math.DS2019

Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups

Adam Abrams, Svetlana Katok, Ilie Ugarcovici

Given a closed, oriented, compact surface $S$ of constant negative curvature and genus $g \geq 2$ , we study the measure-theoretic entropy of the Bowen-Series boundary map with respe…