Results 31 to 40 of about 5,713 (169)

Duality of Moduli and Quasiconformal Mappings in Metric Spaces

Analysis and Geometry in Metric Spaces, 2020
We prove a duality relation for the moduli of the family of curves connecting two sets and the family of surfaces separating the sets, in the setting of a complete metric space equipped with a doubling measure and supporting a Poincaré inequality.
Jones Rebekah, Lahti Panu
doaj   +1 more source

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
core   +1 more source

On the asymptotic behavior at infinity of one mapping class

Pracì Mìžnarodnogo Geometričnogo Centru, 2023
We study the asymptotic behavior at infinity of ring Q-homeomorphisms with respect to p-modulus for p ...
Bogdan Klishchuk, Ruslan Salimov, Mariia Stefanchuk   +2 more
doaj   +1 more source

Mapping problems for quasiregular mappings

, 2012
We study images of the unit ball under certain special classes of quasiregular mappings. For homeomorphic, i.e., quasiconformal mappings problems of this type have been studied extensively in the literature.
Huang, Manzi, Rasila, Antti, Wang, Xiantao   +2 more
core   +1 more source

On the quasilinear Poisson equations in the complex plane

Доповiдi Нацiональної академiї наук України, 2023
First, we study the existence and regularity of solutions for the linear Poisson equations ∆U(z) = g(z) in bounded domains D of the complex plane £ with charges g in the classes L1(D)∩Llocp(D) , p > 1.
V.Ya. Gutlyanskii, O.V. Nesmelova, V.I. Ryazanov   +2 more
doaj   +1 more source

Quasiconformal mappings on the Grushin plane

, 2017
We prove that a self-homeomorphism of the Grushin plane is quasisymmetric if and only if it is metrically quasiconformal and if and only if it is geometrically quasiconformal.
Gartland, Chris, Jung, Derek, Romney, Matthew   +2 more
core   +1 more source

Quasiconformal curves and quasiconformal maps in metric spaces

Analysis and Geometry in Metric Spaces
In this article, we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings Ω→Rm\Omega \to {{\mathbb{R}}}^{m} from some domain Ω⊂Rn\Omega \subset {{\mathbb{R}}}^{n} to Rm{{\mathbb{R}}}^{m}, where n≤mn\le m, belong ...
Hitruhin Lauri, Tsantaris Athanasios
doaj   +1 more source

Modular Equations and Distortion Functions

, 2007
Modular equations occur in number theory, but it is less known that such equations also occur in the study of deformation properties of quasiconformal mappings.
B.C. Berndt, B.C. Berndt, C.-Q. He, D. Partyka, D. Partyka, E.T. Whittaker, F. Bowman, G. D. Anderson, G. Martin, G.D. Anderson, G.D. Anderson, G.D. Anderson, G.D. Anderson, G.D. Anderson, J. Hempel, J. Hersch, J. Jenkins, J. Väisälä, J. Väisälä, J. Zaja̧c, J.M. Borwein, M. Vuorinen, M. Vuorinen, M. Vuorinen, M.K. Vamanamurthy, O. Lehto, O. Lehto, P. Seittenranta, P. Tukia, P.F. Byrd, P.P. Belinskii, S. Agard, S. Agard, S. Yamashita, S. Zhang, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, W.K. Hayman, W.K. Hayman, Z. Li   +45 more
core   +2 more sources

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, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

On quasiconformal extension of harmonic mappings with nonzero pole

Comptes Rendus. Mathématique
Let $\Sigma _H^k(p)$ be the class of sense-preserving univalent harmonic mappings defined on the open unit disk $\mathbb{D}$ of the complex plane with a simple pole at $z=p \in (0,1)$ that have $k$-quasiconformal extensions ($0\le ...
Bhowmik, Bappaditya, Satpati, Goutam
doaj   +1 more source