Results 11 to 20 of about 2,961 (99)
On proper branched coverings and a question of Vuorinen. [PDF]
Bull Lond Math Soc, 2022 Abstract We study global injectivity of proper branched coverings from the open Euclidean n$n$‐ball onto an open subset of the Euclidean n$n$‐space in the case where the branch set is compact. In particular, we show that such mappings are homeomorphisms when n=3$n=3$ or when the branch set is empty.
Kauranen A, Luisto R, Tengvall V.
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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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Nicolas-Auguste Tissot: A link between cartography and quasiconformal theory
, 2016 Nicolas-Auguste Tissot (1824--1897) published a series of papers on cartography in which he introduced a tool which became known later on, among geographers, under the name of the "Tissot indicatrix." This tool was broadly used during the twentieth ...
Papadopoulos, Athanase
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The Theory of Quasiconformal Mappings in Higher Dimensions, I [PDF]
, 2013 We present a survey of the many and various elements of the modern higher-dimensional theory of quasiconformal mappings and their wide and varied application. It is unified (and limited) by the theme of the author's interests.
Gaven J. Martin, Gaven J. Martin
core
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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