A Coding Theorem for f-Separable Distortion Measures
Entropy, 2018 In this work we relax the usual separability assumption made in rate-distortion literature and propose f -separable distortion measures, which are well suited to model non-linear penalties.
Yanina Shkel, Sergio Verdú
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Four-point distortion theorem for complex polynomials [PDF]
arXiv, 2013 We prove a theorem on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values. Its corollaries include inequalities involving the absolute value and certain coefficients of a polynomial.
V. Dubinin
arxiv +3 more sources
A distortion theorem for quasiconformal automorphisms of the unit disk [PDF]
, 1991 We give a distortion theorem for quasiconformal automorphisms of the unit disk and its application to improving some results due to Douady and Earle.
Dariusz Partyka
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The driving force behind the distortion of one-dimensional monatomic chains - Peierls theorem revisited [PDF]
arXiv, 2019 The onset of distortion in one-dimensional monatomic chains with partially filled valence bands is considered to be well-established by the Peierls theorem, which associates the distortion with the formation of a band gap and a subsequent gain in energy.
D. Kartoon, Uri Argaman, Guy Makov
arxiv +3 more sources
Two-Point Distortion Theorems for Harmonic Mappings [PDF]
arXiv, 2010 In earlier work the authors have extended Nehari's well-known Schwarzian derivative criterion for univalence of analytic functions to a univalence criterion for canonical lifts of harmonic mappings to minimal surfaces. The present paper develops some quantitative versions of that result in the form of two-point distortion theorems.
Martin Chuaqui, Peter Duren, Brad Osgood
arxiv +3 more sources
Quantum rate distortion, reverse Shannon theorems, and source-channel separation [PDF]
IEEE Transactions on Information Theory vol. 59, no. 1, pp.
615-630 (January 2013), 2011 We derive quantum counterparts of two key theorems of classical information theory, namely, the rate distortion theorem and the source-channel separation theorem. The rate-distortion theorem gives the ultimate limits on lossy data compression, and the source-channel separation theorem implies that a two-stage protocol consisting of compression and ...
Nilanjana Datta +2 more
arxiv +3 more sources
A distortion theorem for biholomorphic mappings in ${\bf C}\sp 2$ [PDF]
, 1994 ⅠThe classical distortion theorems for families of univalent functions have been studied not later than 1907 when Kbe discovered his "Verzerrangsatz".
Roger Barnard +2 more
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A Distortion Theorem for Quadrature Domains for Harmonic Functions
, 1996 We prove that any finitely connected domain in the plane can be distorted so that it becomes “graviequivalent” to a signed measure with arbitrarily small support. Precisely: if D ⊂ C is a bounded, finitely connected domain with analytic boundary then for
Björn Gustafsson
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A distortion theorem of univalent functions related to symmetric three points [PDF]
, 1962 Nobuyuki Suita
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On Harmonic Functions by using Ruscheweyh-Type Associated with Differential Operators [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 By applying Ruscheweyh - type harmonic function on the class ASH(λ,α,k,γ), a new subclass ℋRq(m, α, k, γ) for harmonic univalent function in the unit disk D is introduced, Furthermore, some geometric properties are obtained
Mohammed Fathi, Abdul Rahman Juma
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