Lorentzian worldlines and Schwarzian derivative
We relate in this note the classical Schwarzian derivative to the curvature of time-like curves in Lorentz surfaces of constant curvature.
Duval, C., Ovsienko, V.
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Hybrid Model of the Collapse of the Commercial Crab Paralithodes camtschaticus (Decapoda, Lithodidae) Population of the Kodiak Archipelago. [PDF]
Perevaryukha AY.
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Asymmetric Unimodal Maps with Non-universal Period-Doubling Scaling Laws. [PDF]
Kozlovski O, van Strien S.
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The Schwarzian derivative and multivalence [PDF]
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A Discrete Schwarzian Derivative via Circle Packing
There exists an extensive and fairly comprehensive discrete analytic function theory which is based on circle packing. This paper introduces a faithful discrete analogue of the classical Schwarzian derivative to this theory and develops its basic properties.
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Conformal field theory complexity from Euler-Arnold equations. [PDF]
Flory M, Heller MP.
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Norm Estimation for Pre-Schwarzian and Schwarzian Derivatives of Some Univalent Functions
UDC 517.5 Our purpose is to obtain estimates for the norms of Schwarzian and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order $\alpha$ and type $\beta.$ In addition, we present an example of a function $f \in S^*(\alpha, \beta)$ that cannot be $k$-quasiconformally extended for any $k < \alpha(1 ...
Xiaobin Wu, Wanghao Zhu
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Convergence time towards periodic orbits in discrete dynamical systems. [PDF]
San Martín J, Porter MA.
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Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy. [PDF]
Sung J, Wang Y.
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Symplectic Geometry of Teichmüller Spaces for Surfaces with Ideal Boundary. [PDF]
Alekseev A, Meinrenken E.
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