Results 1 to 10 of about 10,386,040 (275)
Holomorphic representation of quantum computations [PDF]
Quantum, 2022 We study bosonic quantum computations using the Segal-Bargmann representation of quantum states. We argue that this holomorphic representation is a natural one which not only gives a canonical description of bosonic quantum computing using basic elements
Ulysse Chabaud, Saeed Mehraban
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Holomorphic waves of black hole microstructure [PDF]
Journal of High Energy Physics, 2020 We obtain the largest families constructed to date of 1 8 $$ \frac{1}{8} $$ -BPS solutions of type IIB supergravity. They have the same charges and mass as supersymmetric D1-D5-P black holes, but they cap off smoothly with no horizon.
Pierre Heidmann +3 more
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Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions [PDF]
Nature CommunicationsRecent studies on topological flat bands and their fractional states have revealed increasing similarities between moiré flat bands and Landau levels (LLs). For instance, like the lowest LL, topological exact flat bands with ideal quantum geometry can be
Siddhartha Sarkar +3 more
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Functions holomorphic along holomorphic vector fields [PDF]
Journal of Geometric Analysis, 2008 The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are ...
B.V. Shabat +7 more
core +5 more sources
Green's function and anti-holomorphic dynamics on a torus [PDF]
, 2015 We give a new, simple proof of the fact recently discovered by C.-S. Lin and C.-L. Wang that the Green function of a torus has either three or five critical points, depending on the modulus of the torus. The proof uses anti-holomorphic dynamics.
Walter Bergweiler, A. Eremenko
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Holomorphic Vector Fields and Quadratic Differentials on Planar Triangular Meshes [PDF]
, 2015 Given a triangulated region in the complex plane, a discrete vector field Y assigns a vector \(Y_i\in \mathbb {C}\) to every vertex. We call such a vector field holomorphic if it defines an infinitesimal deformation of the triangulation that preserves ...
Wai Yeung Lam, U. Pinkall
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On a class of holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 1965 Nicolas Artémiadis
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Holomorphic function spaces on homogeneous Siegel domains [PDF]
Dissertationes Mathematicae, 2020 We study several connected problems of holomorphic function spaces on homogeneous Siegel domains. The main object of our study concerns weighted mixed norm Bergman spaces on homogeneous Siegel domains of type II.
Mattia Calzi, M. Peloso
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Holomorphic Cliffordian functions [PDF]
Advances in Applied Clifford Algebras, 1998 The aim of this paper is to put the fundations of a new theory of functions, called holomorphic Cliffordian, which should play an essential role in the generalization of holomorphic functions to higher dimensions. Let R\_{0,2m+1} be the Clifford algebra of R^{2m+1} with a quadratic form of negative signature, D = \sum\_{j=0}^{2m+1} e\_j {\partial\over \
Laville, Guy, Ramadanoff, Ivan
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Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
Journal of Function Spaces, 2022 Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ a fixed holomorphic function on YI. We study the weighted composition operator ψCϕf=ψf∘ϕ for a function f holomorphic on YI.
Jianbing Su, Ziyi Zhang
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