Results 41 to 50 of about 128,747 (328)
A generalised Gauss circle problem and integrated density of states [PDF]
, 2016 Counting lattice points inside a ball of large radius in Euclidean space is a classical problem in analytic number theory, dating back to Gauss. We propose a variation on this problem: studying the asymptotics of the measure of an integer lattice of ...
Lagacé, Jean, Parnovski, Leonid
core +2 more sources
A Clifford analysis approach to superspace
, 2007 A new framework for studying superspace is given, based on methods from Clifford analysis. This leads to the introduction of both orthogonal and symplectic Clifford algebra generators, allowing for an easy and canonical introduction of a super-Dirac ...
Brackx +9 more
core +3 more sources
Berezin transform on the quantum unit ball
, 2003 We introduce and study, in the framework of a theory of quantum Cartan domains, a q-analogue of the Berezin transform on the unit ball. We construct q-analogues of weighted Bergman spaces, Toeplitz operators and covariant symbol calculus. In studying the
Arazy +19 more
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Nano‐Patterned CuO Nanowire Nanogap Hydrogen Gas Sensor with Voids
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.Sub‐5‐ppb hydrogen (H2) detection and sub‐10‐s response and recovery times are achieved based on nano‐patterned polycrystalline CuO nanowires nanogap gas sensors with voids using electron‐beam lithography and unique annealing processes. Pre‐H2 annealing, void‐generating oxidation, and downscaled nanogap electrodes are key to improving the sensing ...
Muqing Zhao +4 more
wiley +1 more source
Hypergraph Laplace Operators for Chemical Reaction Networks
, 2018 We generalize the normalized combinatorial Laplace operator for graphs by defining two Laplace operators for hypergraphs that can be useful in the study of chemical reaction networks. We also investigate some properties of their spectra.Comment: 23 pages,
Jost, Jürgen, Mulas, Raffaella
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Locking Metastable Topological Domains in Nematic Liquid Crystal Pi Cells
Advanced Functional Materials, EarlyView.Selective photopolymerization in the presence of a controlled voltage defines permanent director walls that lock‐in metastable bend and twist configurations within nematic liquid crystal Pi cells. Q‐tensor simulations corroborate the experiments, demonstrating the topological state stabilization.
Adithya Pradeep +7 more
wiley +1 more source
Spectral Approach to Derive the Representation Formulae for Solutions of the Wave Equation
Journal of Applied Mathematics, 2012 Using spectral properties of the Laplace operator and some structural formula for rapidly decreasing functions of the Laplace operator, we offer a novel method to derive explicit formulae for solutions to the Cauchy problem for classical wave equation in
Gusein Sh. Guseinov
doaj +1 more source
Value of first eigenvalue of some minimal hypersurfaces embedded in the unit sphere
AIMS Mathematics, 2023 We prove that the first nonzero eigenvalue of the Laplace-Beltrami operator of equator-like minimal submanifold embedded in the sphere $ S^{n+1} $ is equal to $ n $.
Ibrahim Aldayel
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Advanced Functional Materials, EarlyView.A dual‐gradient centrifugal microfluidic platform enables ultrafast, high‐throughput screening of nanomaterials in 90 reaction chambers. Through siphon‐based aliquoting and automated gradient generation, the system achieves combinatorial synthesis of silver nanoparticles with diverse morphologies.
Hiep Van Nguyen +2 more
wiley +1 more source
Steklov Spectral Geometry for Extrinsic Shape Analysis
, 2018 We propose using the Dirichlet-to-Neumann operator as an extrinsic alternative to the Laplacian for spectral geometry processing and shape analysis.
Ben-Chen, Mirela +3 more
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