55 citations · 60 across the 11 of their papers we have counts for
11 papers
Drilling hyperbolic groups
Daniel Groves, Peter Haïssinsky, Jason F. Manning +3
Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…
On critical renormalization of complex polynomials
Alexander Blokh, Peter Haissinsky, Lex Oversteegen +1
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider certain conditions guaranteeing that a polynomial which does not admit a polynomial-…
Boundaries of Kleinian groups
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe…
Equilateral triangle skew condition for quasiconformality
Colleen Ackermann, Peter Haïssinsky, Aimo Hinkkanen
We characterize quasiconformal mappings in terms of the distortion of the vertices of equilateral triangles.
Hyperbolic groups with planar boundaries
Peter Haïssinsky
We prove that the class of convex-cocompact Kleinian groups is quasi-isometrically rigid. We also establish that a word hyperbolic group with a planar boundary different from the s…
Minimal Ahlfors regular conformal dimension of coarse conformal dynamics on the sphere
Peter Haïssinsky, Kevin M. Pilgrim
We prove that if the Ahlfors regular conformal dimension of a topologically cxc map on the sphere is realized by some metric on , then either Q=2 and…