Results 51 to 60 of about 1,270,291 (205)
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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Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1988 This is a survey article on recent development of the theory of quasiconformal mappings. Particular attention is paid to connections with Möbius groups, to higher dimensional quasiconformal mappings, and to quasiregular mappings; i.e. non-injective quasiconformal mappings.
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Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
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Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces
Open MathematicsIn this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces.
Liu Hong-Jun +3 more
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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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Arcwise Connected Domains, Quasiconformal Mappings, and Quasidisks
Abstract and Applied Analysis, 2014 We prove that a homeomorphism f:R2→R2 is a quasiconformal mapping if and only if f(D) is an arcwise connected domain for any arcwise connected domain D⊆R2, and D is a quasidisk if and only if both D and its exterior D*=R2∖D¯ are arcwise connected domains.
Yu-Ming Chu
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Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
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Quasisymmetric embedding of the integer set and its quasiconformal extension
, 2016 We prove that an injection from the integer set into the real line admits a quasiconformal extension to the complex plane if and only if it is quasisymmetric.Comment: 22 pages, 9 EPS ...
Fujino, Hiroki
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Angles and Quasiconformal Mappings† [PDF]
Proceedings of the London Mathematical Society, 1965 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135391/1/plms0001 ...
Agard, S. B., Gehring, F. W.
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Stretching and rotation sets of quasiconformal mappings [PDF]
Annales Academiae Scientiarum Fennicae: Mathematica, 2017 Quasiconformal maps in the plane are orientation preserving homeomorphisms that satisfy certain distortion inequalities; infinitesimally, they map circles to ellipses of bounded eccentricity.
Rosemarie Bongers
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