Results 11 to 20 of about 5,713 (169)
Counting and boundary limit theorems for representations of Gromov‐hyperbolic groups
Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 589-652, September 2023., 2023 Abstract Given a Gromov‐hyperbolic group G$G$ endowed with a finite symmetric generating set, we study the statistics of counting measures on the spheres of the associated Cayley graph under linear representations of G$G$. More generally, we obtain a weak law of large numbers for subadditive functions, echoing the classical Fekete lemma.
Stephen Cantrell, Cagri Sert
wiley +1 more source
On boundary extension of one class of mappings in terms of prime ends
Математичні Студії, 2020 Here we consider the classes of mappings of metric spaces that distort the modulus of families of paths similarly to Poletsky inequality. For domains, which are not locally connected at the boundaries, we obtain results on the boundary extension of the ...
E.A. Sevost'yanov +2 more
doaj +1 more source
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2019 A numerical method of quasiconformal mappings for solving the coefficient problems of finding eigenvalues of the conductivity tensor having information about its directions in an anisotropic medium using applied quasipotential tomographic data is ...
Andrii Bomba +3 more
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Fat Triangulations, Curvature and Quasiconformal Mappings
Axioms, 2012 We investigate the interplay between the existence of fat triangulations, P L approximations of Lipschitz–Killing curvatures and the existence of quasiconformal mappings. In particular we prove that if there exists a quasiconformal mapping between
Emil Saucan, Meir Katchalski
doaj +1 more source
Modulus of surface families and the radial stretch in the Heisenberg group [PDF]
, 2015 We develop a modulus method for surface families inside a domain in the Heisenberg group and we prove that the stretch map between two Heisenberg spherical rings is a minimiser for the mean distortion among the class of contact quasiconformal maps ...
Platis, Ioannis D.
core +1 more source
An N-dimensional version of the Beurling-Ahlfors extension [PDF]
, 2009 We extend monotone quasiconformal mappings from dimension n to n+1 while preserving both monotonicity and quasiconformality. The extension is given explicitly by an integral operator.
Kovalev, Leonid V., Onninen, Jani
core +3 more sources
Doubly connected minimal surfaces and extremal harmonic mappings [PDF]
, 2010 The concept of a conformal deformation has two natural extensions: quasiconformal and harmonic mappings. Both classes do not preserve the conformal type of the domain, however they cannot change it in an arbitrary way.
A. Lyzzaik +38 more
core +3 more sources
Loewner theory for quasiconformal extensions: old and new [PDF]
, 2019 This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichm\"uller theory and classical and modern approaches based on Loewner theory.Comment: 25 pages, 3 figs.
Hotta, Ikkei
core +3 more sources
Pluriharmonic Mappings with the Convex Holomorphic Part
Journal of Mathematics, 2022 In 2018, Partyka et al. established several equivalent conditions for a sense-preserving locally injective harmonic mapping f=h+g¯ in the unit disk D with convex holomorphic part h to be quasiconformal in terms of the relationships of two-point ...
Ma Lihua, See Keong Lee
doaj +1 more source
Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings
International Journal of Mathematics and Mathematical Sciences, 2012 We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain the sharp bounds of their hyperbolically partial derivatives, determined by the ...
Xingdi Chen
doaj +1 more source