Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Haïssinsky, Peter"'
Autor:
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 hyperbolic group pair $(\widehat{G}, P)$. This is inspired by the well-studied procedure of drilling
Externí odkaz:
http://arxiv.org/abs/2406.14667
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 or 2 components.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
http://arxiv.org/abs/2309.08735
Publikováno v:
Advances in Mathematics Volume 428, 1 September 2023, 109135
Holomorphic renormalization plays an important role in complex polynomial dynamics. We consider certain conditions guaranteeing that a polynomial which does not admit a polynomial-like connected Julia set still admits an invariant continuum on which
Externí odkaz:
http://arxiv.org/abs/2008.06689
Autor:
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.
Comment: V2: correction of a mistake in the introduction
Comment: V2: correction of a mistake in the introduction
Externí odkaz:
http://arxiv.org/abs/2005.06813
Publikováno v:
In Advances in Mathematics 1 September 2023 428
Publikováno v:
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 the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe limit sets of Kleinian groups up to homeomorphism.
Comment: 16 p
Comment: 16 p
Externí odkaz:
http://arxiv.org/abs/1609.02377
We characterize quasiconformal mappings in terms of the distortion of the vertices of equilateral triangles.
Externí odkaz:
http://arxiv.org/abs/1606.06553
In this paper, we prove that if $R\colon\widehat{\mathbb{C}}\to\widehat{\mathbb{C}}$ is a postcritically finite rational map with Julia set homeomorphic to the Sierpi\'nski carpet, then there is an integer $n_0$, such that, for any $n\ge n_0$, there
Externí odkaz:
http://arxiv.org/abs/1511.02457
Autor:
Haïssinsky, Peter
Ce mémoire est consacré à mes travaux sur la dynamique conforme dans les espaces métriques. Il est constitué de deux parties, la première concernant les groupes hyperboliques, et la seconde l'itération de revêtements ramifiés dans des espace
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00367259
http://tel.archives-ouvertes.fr/docs/00/36/72/59/PDF/hdr.pdf
http://tel.archives-ouvertes.fr/docs/00/36/72/59/PDF/hdr.pdf
Publikováno v:
Indiana University Mathematics Journal, 2019 Jan 01. 68(5), 1591-1608.
Externí odkaz:
https://www.jstor.org/stable/26958338