Results 11 to 20 of about 2,838 (70)
BPM: Blended Piecewise Möbius Maps
Computer Graphics Forum, Volume 42, Issue 5, August 2023., 2023 Abstract We propose a novel Möbius interpolator that takes as an input a discrete map between the vertices of two planar triangle meshes, and outputs a continuous map on the input domain. The output map interpolates the discrete map, is continuous between triangles, and has low quasi‐conformal distortion when the input map is discrete conformal.
Shir Rorberg +2 more
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Two‐dimensional metric spheres from gluing hemispheres
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3069-3102, December 2022., 2022 Abstract We study metric spheres (Z,dZ)$(Z, d_{Z} )$ obtained by gluing two hemispheres of S2$\mathbb {S}^{2}$ along an orientation‐preserving homeomorphism g:S1→S1$g \colon \mathbb {S}^{1} \rightarrow \mathbb {S}^{1}$, where dZ$d_{Z}$ is the canonical distance that is locally isometric to S2$\mathbb {S}^{2}$ off the seam. We show that if (Z,dZ)$(Z, d_{
Toni Ikonen
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Proceedings of the London Mathematical Society, Volume 125, Issue 6, Page 1426-1451, December 2022., 2022 Abstract We prove that any length metric space homeomorphic to a surface may be decomposed into non‐overlapping convex triangles of arbitrarily small diameter. This generalizes a previous result of Alexandrov–Zalgaller for surfaces of bounded curvature.
Paul Creutz, Matthew Romney
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Accessibility and porosity of harmonic measure at bifurcation locus
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 2730-2751, October 2022., 2022 Abstract We study hyperbolic geodesics running from ∞$\infty$ to a generic point, by the harmonic measure with the pole at ∞$\infty$, on the boundary of the connectedness locus Md${\cal M}_d$ for unicritical polynomials fc(z)=zd+c$f_c(z)=z^d+c$. It is known that a generic parameter c∈∂Md$c\in \partial {\cal M}_d$ is not accessible within a John angle ...
Jacek Graczyk, Grzegorz Świa̧tek
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Geometrically finite transcendental entire functions
Journal of the London Mathematical Society, Volume 106, Issue 2, Page 485-527, September 2022., 2022 Abstract For polynomials, local connectivity of Julia sets is a much‐studied and important property. Indeed, when the Julia set of a polynomial of degree d⩾2$d\geqslant 2$ is locally connected, the topological dynamics can be completely described as a quotient of a much simpler system: angle d$d$‐tupling on the circle.
Mashael Alhamed +2 more
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Domains of discontinuity in oriented flag manifolds
Journal of the London Mathematical Society, Volume 106, Issue 2, Page 1380-1442, September 2022., 2022 Abstract We study actions of discrete subgroups Γ$\Gamma$ of semi‐simple Lie groups G$G$ on associated oriented flag manifolds. These are quotients G/P$G/P$, where the subgroup P$P$ lies between a parabolic subgroup and its identity component. For Anosov subgroups Γ⊂G$\Gamma \subset G$, we identify domains in oriented flag manifolds by removing a set ...
Florian Stecker, Nicolaus Treib
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Harmonic mappings and distance function [PDF]
, 2010 We prove the following theorem: every quasiconformal harmonic mapping between two plane domains with $C^{1,\alpha ...
Kalaj, David
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On integral conditions for the general Beltrami equations
, 2010 Under integral restrictions on dilatations, it is proved existence theorems for the degenerate Beltrami equations with two characteristics and, in particular, to the Beltrami equations of the second type that play a great role in many problems of ...
Bojarski, B. +2 more
core +1 more source
From pathological to paradigmatic: A retrospective on Eremenko and Lyubich's entire functions
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract This paper surveys the impact of Eremenko and Lyubich's paper “Examples of entire functions with pathological dynamics”, published in 1987 in the Journal of the London Mathematical Society. Through a clever extension and use of classical approximation theorems, the authors constructed examples exhibiting behaviours previously unseen in ...
Núria Fagella, Leticia Pardo‐Simón
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