Search Results - "Haïssinsky, Peter"

Hyperbolic groups with planar boundaries by Haïssinsky, Peter

“…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…”
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On critical renormalization of complex polynomials by Blokh, Alexander, Haïssinsky, Peter, Oversteegen, Lex, Timorin, Vladlen

“…Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider invariant continua that are not polynomial-like Julia sets…”
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Equilateral Triangle Skew Condition for Quasiconformality by Ackermann, Colleen, Haïssinsky, Peter, Hinkkanen, Aimo

“…We characterize quasiconformalmappings in terms of the distortion of the vertices of equilateral triangles…”
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Asymptotic Entropy and Green Speed for Random Walks on Countable Groups by Blachère, Sébastien, Haïssinsky, Peter, Mathieu, Pierre

“…We study asymptotic properties of the Green metric associated with transient random walks on countable groups. We prove that the rate of escape of the random…”
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Thurston obstructions and Ahlfors regular conformal dimension by Haïssinsky, Peter, Pilgrim, Kevin M.

“…Let f : S 2 → S 2 be a postcritically finite expanding branched covering map of the sphere to itself. Associated to f is a canonical quasisymmetry class G ( f…”
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A characterisation of plane quasiconformal maps using triangles by Aramayona, J., Haïssinsky, P.

“…We show that an injective continuous map between planar regions which distorts vertices of equilateral triangles by a small amount is quasiconformal…”
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Minimal Ahlfors regular conformal dimension of coarse expanding conformal dynamics on the sphere by Haïssinsky, Peter, Pilgrim, Kevin M.

“…Suppose that f:S^{2}\to S^{2} determines a dynamical system on the sphere which is topologically coarse expanding conformal in the sense of our previous work…”
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EQUILATERAL TRIANGLE SKEW CONDITION FOR QUASICONFORMALITY by Ackermann, Colleen, Haïssinsky, Peter, Hinkkanen, Aimo

“…We characterize quasiconformal mappings in terms of the distortion of the vertices of equilateral triangles…”
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Minimal Ahlfors regular conformal dimension of coarse conformal dynamics on the sphere by Haïssinsky, Peter, Pilgrim, Kevin

“…We prove that if the Ahlfors regular conformal dimension $Q$ of a topologically cxc map on the sphere $f: S^2 \to S^2$ is realized by some metric $d$ on $S^2$,…”
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EMPILEMENTS DE CERCLES ET MODULES COMBINATOIRES by HAÏSSINSKY, Peter

“…The purpose of this paper is to try and explain the relationships between circle-packings and combinatorial moduli, and to compare the different approaches to…”
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On groups with Schottky set boundary by Haïssinsky, Peter, Paoluzzi, Luisa, Walsh, Genevieve

“…We study relatively hyperbolic group pairs whose boundaries are Schottky sets. We characterize the groups that have boundaries where the Schottky sets have…”
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Quasi-isometric rigidity of three manifold groups by Haïssinsky, Peter, Lecuire, Cyril

“…We provide a proof that the classes of finitely generated Kleinian groups and of three-manifold groups are quasi-isometrically rigid…”
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Asymptotic entropy and Green speed for random walks on groups by Blachère, Sébastien, Haïssinsky, Peter, Mathieu, Pierre

“…We study asymptotic properties of the Green metric associated to transient random walks on countable groups. We prove that the rate of escape of the random…”
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RIGIDITY AND EXPANSION FOR RATIONAL MAPS by HAÏSSINSKY, PETER

“…A general approach is proposed to prove that the combination of expansion with bounded distortion yields strong rigidity of conjugacies…”
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Drilling hyperbolic groups by Groves, Daniel, Haïssinsky, Peter, Manning, Jason F, Osajda, Damian, Sisto, Alessandro, Walsh, Genevieve S

“…Given a hyperbolic group $G$ and a maximal infinite cyclic subgroup $\langle g \rangle$, we define a drilling of $G$ along $g$, which is a relatively…”
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Hyperbolic groups with planar boundaries by Haïssinsky, Peter

“…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…”
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Boundaries of Kleinian groups by Haïssinsky, Peter, Paoluzzi, Luisa, Walsh, Genevieve

“…Illinois Journal of Mathematics (Special Haken Issue) Vol 60, no. 1 (2016) 353--364 We review the theory of splittings of hyperbolic groups, as determined by…”
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Déformation localisée de surfaces de Riemann by Haïssinsky, P.

“…Let Y be a Riemann surface with compact boundary embedded into a hyperbolic Riemann surface of finite type X. It is proved that the space of deformations D of…”
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Equilateral triangle skew condition for quasiconformality by Ackermann, Colleen, Haïssinsky, Peter, Hinkkanen, Aimo

“…We characterize quasiconformal mappings in terms of the distortion of the vertices of equilateral triangles…”
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An algebraic characterization of expanding Thurston maps by Haïssinsky, Peter, Pilgrim, Kevin

“…JOURNAL OF MODERN DYNAMICS 6 (2012), , no. 4, (2012) 451 -- 476 Let $f: S^2 \to S^2$ be a postcritically finite branched covering map without periodic branch…”
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