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Geodesic Warps by Conformal Mappings [PDF]
In recent years there has been considerable interest in methods for diffeomorphic warping of images, with applications e.g.\ in medical imaging and evolutionary biology. The original work generally cited is that of the evolutionary biologist D'Arcy Wentworth Thompson, who demonstrated warps to deform images of one species into another.
Stephen R. Marsland +3 more
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Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix
The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS.
Carlos Cardona
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Proposed single-zone map projection system for Turkey
The coordinate base of the maps or sheets produced is the Universal Transversal Mercator (UTM) conformal projection, and it is not possible to work in a single coordinate system in Turkey.
Yildirim Faruk, Kadi Fatih
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Mapping chromatin conformation [PDF]
Chromatin conformation capture (3C) and related techniques have become well-established methods to examine which distal DNA sequences are spatially located close to a locus of interest. Hi-C is a new addition to the growing set of 3C-based techniques that has extended the approach to a genome-wide analysis of nuclear chromatin using high-throughput DNA
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Universal spinning Casimir equations and their solutions
Conformal blocks are a central analytic tool for higher dimensional conformal field theory. We employ Harish-Chandra’s radial component map to construct universal Casimir differential equations for spinning conformal blocks in any dimension d of ...
Ilija Burić, Volker Schomerus
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The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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Crossing-symmetric twist field correlators and entanglement negativity in minimal CFTs
We study conformal twist field four-point functions on a ℤ N orbifold. We examine in detail the case N = 3 and analyze theories obtained by replicated N-times a minimal model with central charge c < 1.
Filiberto Ares +2 more
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On the phase space of free higher-spin theories and conformal transformations
We write a first order action for higher-spin fields and construct a canonical map to Fronsdal theory. The first-order description is defined over complex field configurations and has conformal invariance.
Henrique Flores
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Conformal Mapping in Linear Time [PDF]
Given any $ε>0$ and any planar region $Ω$ bounded by a simple n-gon $P$ we construct a ($1 + ε)$-quasiconformal map between $Ω$ and the unit disk in time $C(ε)n$. One can take $ C(ε) = C + C \log (1/ε) \log \log (1/ε)$.
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