Results 21 to 30 of about 17,619 (155)
Reproducing Kernel Hilbert Space vs. Frame Estimates
Mathematics, 2015 We consider conditions on a given system F of vectors in Hilbert space H, forming a frame, which turn H into a reproducing kernel Hilbert space. It is assumed that the vectors in F are functions on some set Ω .
Palle E. T. Jorgensen, Myung-Sin Song
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The space of twisted cubics [PDF]
Épijournal de Géométrie Algébrique, 2021 We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-
Katharina Heinrich +2 more
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Shape Transformation Approaches for Fluid Dynamic Optimization
Aerospace, 2023 The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into ...
Peter Marvin Müller +2 more
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Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension [PDF]
Quantum, 2019 Quantum devices, such as quantum simulators, quantum annealers, and quantum computers, may be exploited to solve problems beyond what is tractable with classical computers. This may be achieved as the Hilbert space available to perform such `calculations'
Charlie Nation, Diego Porras
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Convexity, boundedness, and almost periodicity for differential equations in Hillbert space
International Journal of Mathematics and Mathematical Sciences, 1979 There are three kinds of results. First we extend and sharpen a convexity inequality of Agmon and Nirenberg for certain differential inequalities in Hilbert space.
Jerome A. Goldstein
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More on doubled Hilbert space in double-scaled SYK
Physics Letters BWe continue our study of the doubled Hilbert space formalism of double-scaled SYK model initiated in Okuyama (2024) [7]. We show that the 1-particle Hilbert space introduced by Lin and Stanford (2023) [6] is related to the doubled Hilbert space H0⊗H0 of ...
Kazumi Okuyama
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Crossing complexity of space-filling curves reveals entanglement of S-phase DNA.
PLoS ONE, 2020 Space-filling curves have been used for decades to study the folding principles of globular proteins, compact polymers, and chromatin. Formally, space-filling curves trace a single circuit through a set of points (x,y,z); informally, they correspond to a
Nick Kinney +3 more
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Characterization, Dilation, and Perturbation of Basic Continuous Frames
Journal of Mathematics, 2022 A vector-valued function is called a basic continuous frame if it is a continuous frame for its spanning space. It is shown in this article that basic continuous frames and their oblique duals can be characterized by operators with closed ranges ...
Xin Zhao, Pengtong Li
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Notes on the factorisation of the Hilbert space for two-sided black holes in higher dimensions
Journal of High Energy PhysicsIn this paper, we investigate the Hilbert space factorisation problem of two-sided black holes in high dimensions. We demonstrate that the Hilbert space of two-sided black holes can be factorized into the tensor product of two one-sided bulk Hilbert ...
Pan Li
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Dynamics for holographic codes
Journal of High Energy Physics, 2020 We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via ...
Tobias J. Osborne, Deniz E. Stiegemann
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