Results 11 to 20 of about 4,681 (167)
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
Ivan Pesin (to his 90th anniversary)
Математичні Студії, 2020 The note is devoted to biography and achievements of Ukrainian mathematician Ivan Pesin (1930--1993).
M. Zarichnyi +3 more
doaj +1 more source
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
An asymptotically sharp coefficients estimate for harmonic K-quasiconformal mappings
Journal of Inequalities and Applications, 2016 By using the improved Hübner inequalities, in this paper we obtain an asymptotically sharp lower bound estimate for the coefficients of harmonic K-quasiconformal self-mappings of the unit disk D ${\mathbb{D}}$ which keep the origin fixed.
Hong-Ping Li
doaj +1 more source
Quasiconformal mappings and curvatures on metric measure spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In an attempt to develop higher-dimensional quasiconformal mappings on metric measure spaces with curvature conditions, i.e. from Ahlfors to Alexandrov, we show that for n≥2 a noncollapsed RCD(0,n) space with Euclidean volume growth is an n-Loewner space
Jialong Deng
doaj +1 more source
On the behaviour of derivative of algebraic polynomials in the regions with cusps
Applied Mathematics in Science and Engineering, 2022 In this paper, we study the behavior of derivatives of algebraic polynomials in bounded and unbounded regions of the complex plane. At the same time, both interior and exterior cusp points are allowed on the boundary of such regions. Bernstein-Walsh-type
N. P. Özkartepe
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RINGS AND QUASICONFORMAL MAPPINGS IN SPACE. [PDF]
Proc Natl Acad Sci U S A, 1961 Gehring FW.
europepmc +7 more sources
Quasiconformal mappings that highly distort dimensions of many parallel lines [PDF]
, 2016 We construct a quasiconformal mapping of $n$-dimensional Euclidean space, $n \geq 2$, that simultaneously distorts the Hausdorff dimension of a nearly maximal collection of parallel lines by a given amount.
Balogh, Zoltán M. +2 more
core +2 more sources
Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks
Open Mathematics, 2021 In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
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The Moduli space of Riemann Surfaces of Large Genus [PDF]
, 2013 Let $\mathcal{M}_{g,\epsilon}$ be the $\epsilon$-thick part of the moduli space $\mathcal{M}_g$ of closed genus $g$ surfaces. In this article, we show that the number of balls of radius $r$ needed to cover $\mathcal{M}_{g,\epsilon}$ is bounded below by $(
Fletcher, Alastair +2 more
core +2 more sources