Results 21 to 30 of about 1,270,291 (205)
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
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
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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
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Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators [PDF]
Complex Variables and Elliptic Equations, 2019 We study spectral properties of divergence form elliptic operators with the Neumann boundary condition in planar domains (including some fractal type domains) that satisfy to the quasihyperbolic boundary conditions.
V. Gol'dshtein +2 more
semanticscholar +1 more source
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
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, 1998 Extremal mappings have been one of the main topics in the theory of quasiconformal mappings since its earliest days, when Grötzsch solved the extremal problem for two rectangles.
Božin, V. +3 more
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Quasiconformal Mappings and Grid Generation [PDF]
SIAM Journal on Scientific and Statistical Computing, 1984 A finite difference scheme is developed for constructing quasiconformal mappings for arbitrary simply and doubly-connected domains onto a rectangle in the plane by using Beltrami systems. Error estimates are not given. Numerical examples show applications of the method: 1.
Mastin, C. W., Thompson, J. F.
openaire +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
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Геофизический журнал, 2022 The works by specialists in electrical tomography usually model soil masses as a two-dimensional single-connected domain, the boundary of which consists of a horizon line and some «deep» line with a constant potential value on it.
A.Ya. Bomba +2 more
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