2 citations · 4 across the 6 of their papers we have counts for
6 papers
On groups with Schottky set boundary
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
We study relatively hyperbolic group pairs whose boundaries are Schottky sets. We characterize the groups that have boundaries where the Schottky sets have incidence graphs with 1…
Quasi-isometric rigidity of three manifold groups
Peter Haïssinsky, Cyril Lecuire
We provide a proof that the classes of finitely generated Kleinian groups and of three-manifold groups are quasi-isometrically rigid.
Invariant Jordan curves of Sierpiski carpet rational maps
Yan Gao, Peter Haïssinsky, Daniel Meyer +1
In this paper, we prove that if is a postcritically finite rational map with Julia set homeomorphic to the Sierpiński carpet, t…
An algebraic characterization of expanding Thurston maps
Peter Haïssinsky, Kevin Pilgrim
Let be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for to be homotopic,…
Examples of coarse expanding conformal maps
Peter Haissinsky, Kevin M. Pilgrim
In previous work, a class of noninvertible topological dynamical systems was introduced and studied; we called these {\em topologically coarse expanding conformal} sys…
Harmonic measures versus quasiconformal measures for hyperbolic groups
Sébastien Blachère, Peter Haïssinsky, Pierre Mathieu
We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this…