In the mathematical theory of Kleinian groups, the density conjecture of Lipman Bers, Dennis Sullivan, and William Thurston, later proved independently by Namazi & Souto (2012) and Ohshika (2011), states that every finitely generated Kleinian group is an algebraic limit of geometrically finite Kleinian groups.
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finitely generated Kleiniangroup is an algebraic limit of geometrically finite Kleiniangroups. Bers (1970) suggested the Bers density conjecture, that...
degenerate groups and space-filling curves associated to pseudo-Anosov maps. Ahlfors measure conjecture DensitytheoremforKleiniangroups Ending lamination...
hyperbolic 3-manifolds, together with the densitytheoremforKleiniangroups and the ending lamination theorem. It also implies the Ahlfors measure conjecture...
discrete group of isometries (Ratcliffe 1994, 12.7). DensitytheoremforKleiniangroups Greenberg, L. (1966), "Fundamental polyhedra forkleiniangroups", Annals...
pseudoanalytic functions and worked on Riemann surfaces and Kleiniangroups. He was also known for his work in human rights activism. Bers was born in Riga...
generalized Lipman Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleiniangroups in the late 1970s and...
generalized Lipman Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleiniangroups in the late 1970s and...
(1989). "The Selberg zeta-function of a Kleiniangroup". Number theory, trace formulas and discrete groups. Symposium in Honor of Atle Selberg, Oslo/Norway...
2011, Igor Mineyev, 2011) Densitytheorem (Hossein Namazi, Juan Souto, 2010) Full classification of finite simple groups (Koichiro Harada, Ronald Solomon...
Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleiniangroups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations...
occur as p {\displaystyle p} runs through the primes—see Chebotarev densitytheorem. The law of quadratic reciprocity implies that the splitting behaviour...
Dynamics Theoremfor embedded minimal surfaces Yair Minsky, Asymptotic geometry of the mapping class group Frank Morgan, Manifolds with Density Zoltan Szabo...