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The entropy of chaotic transitions of EEG phase growth in bipolar disorder with lithium carbonate [PDF]
Scientific Reports, 2021 The application of chaos measures the association of EEG signals which allows for differentiating pre and post-medicated epochs for bipolar patients. We propose a new approach on chaos necessary for proof of EEG metastability.
Rüştü Murat Demirer, Sermin Kesebir
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A variant of Schwarzian mechanics [PDF]
Nuclear Physics B, 2018 The Schwarzian derivative is invariant under SL(2,R)-transformations and, as thus, any function of it can be used to determine the equation of motion or the Lagrangian density of a higher derivative SL(2,R)-invariant 1d mechanics or the Schwarzian ...
Anton Galajinsky
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Schwarzian Derivatives and Uniform Local Univalence [PDF]
Computational Methods and Function Theory, 2007 Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping is shown to be uniformly locally univalent with respect to the hyperbolic
Chuaqui, Martin +2 more
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Subordination and Superordination on Schwarzian Derivatives [PDF]
Journal of Inequalities and Applications, 2009 Let the functions q1 be analytic and let q2 be analytic univalent in the unit disk. Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function f are ...
N. Seenivasagan +2 more
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Physics Letters B, 2023 The Schwarzian derivative has recently received renewed attention in connection with the study of the Sachdev–Ye–Kitaev model. In mathematics literature, various higher order generalizations of the Schwarzian derivative are known due to Aharonov ...
Anton Galajinsky
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Pre-Schwarzian and Schwarzian Derivatives of Harmonic Mappings [PDF]
The Journal of Geometric Analysis, 2013 In this paper we introduce a definition of the pre-Schwarzian and the Schwarzian derivatives of any locally univalent harmonic mapping $f$ in the complex plane without assuming any additional condition on the (second complex) dilatation $ _f$ of $f$.
Hernández, Rodrigo, Martín, María J.
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Criteria for starlikeness using schwarzian derivatives
The Journal of Analysis, 2023 For a normalised analytic function f defined on the open unit disk in the complex plane, we determine several sufficient conditions for starlikeness in terms of the quotients Q_{ST}:=zf'(z)/f(z), Q_{CV}:=1+zf"(z)/f'(z) and the Schwarzian derivative Q_{SD}:=z^2((f"(z)/f'(z))'-(f"(z)/f'(z))^2/2)$. These conditions were obtained by using the admissibility
Sebastian, Asha, Ravichandran, V.
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Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory
Journal of High Energy Physics, 2022 Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region.
Nabamita Banerjee +3 more
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Schwarzian derivatives for pluriharmonic mappings [PDF]
Journal of Mathematical Analysis and Applications, 2021 A pre-Schwarzian and a Schwarzian derivative for locally univalent pluriharmonic mappings in ${\mathbb C}^n$ are introduced. Basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity.
Iason Efraimidis +3 more
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Quasiconformal extension for harmonic mappings on finitely connected domains
Comptes Rendus. Mathématique, 2021 We prove that a harmonic quasiconformal mapping defined on a finitely connected domain in the plane, all of whose boundary components are either points or quasicircles, admits a quasiconformal extension to the whole plane if its Schwarzian derivative is ...
Efraimidis, Iason
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