Difference between Semicircular-like Laws Induced by p-Adic Number Fields and the Semicircular Law
, 2017 In this paper, we study “semicircular-like” elements in free product Banach *-algebras induced by Haar-measurable functions over p-adic number fields , for primes p.
Ilwoo Cho
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Size of nodal domains of the eigenvectors of a G(n,p) graph [PDF]
, 2020 Consider an eigenvector of the adjacency matrix of a G(n, p) graph. A nodal domain is a connected component of the set of vertices where this eigenvector has a constant sign. It is known that with high probability, there are exactly two nodal domains for
Bloemendal A., Stroock D.W., Zelditch S.
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Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints [PDF]
, 2007 We show that the quadratic matrix equation $VW + \eta (W)W = I$, for given $V$ with positive real part and given analytic mapping $\eta$ with some positivity preserving properties, has exactly one solution $W$ with positive real part.
J. Helton, R. Far, R. Speicher
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Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case [PDF]
, 2019 For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue ...
Erdős, László +2 more
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Applied Sciences, 2023 Wireless sensor networks (WSNs) have proven to be incredibly useful for forest applications that rely on sensing technologies for event detection and monitoring. This radical sensing technology has revolutionized data gathering, analysis, and application.
P. Kaur +3 more
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Robustness of Random Graphs Based on Natural Connectivity [PDF]
, 2010 Recently, it has been proposed that the natural connectivity can be used to efficiently characterise the robustness of complex networks. Natural connectivity quantifies the redundancy of alternative routes in a network by evaluating the weighted number ...
Barahona, Mauricio +3 more
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Nonexponential fidelity decay in isolated interacting quantum systems
, 2014 We study isolated finite interacting quantum systems after an instantaneous perturbation and show three scenarios in which the probability for finding the initial state later in time (fidelity) decays nonexponentially, often all the way to saturation ...
Santos, Lea F., Torres-Herrera, E. J.
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Micromechanical investigation of the influence of defects in high cycle fatigue [PDF]
, 2014 This study aims to analyse the influence of geometrical defects (notches and holes) on the high cycle fatigue behaviour of an electrolytic copper based on finite element simulations of 2D polycrystalline aggregates.
GUERCHAIS, Raphaël +3 more
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Structural Properties and Relative Stability of (Meta)Stable Ordered, Partially-ordered and Disordered Al-Li Alloy Phases [PDF]
, 2012 We resolve issues that have plagued reliable prediction of relative phase stability for solid-solutions and compounds. Due to its commercially important phase diagram, we showcase Al-Li system because historically density-functional theory (DFT) results ...
A. J. McAlister +9 more
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An evidenced-based diagnostic tool for superior semicircular canal dehiscence syndrome
Journal of Otology, 2023 Purpose To construct a symptoms-based prediction tool to assess the likelihood of superior canal dehiscence (SSCD) on high-resolution CT. Materials and methods Mathematical modeling was employed to predict radiologic evidence of SSCD at a tertiary ...
Christian G. Fritz +3 more
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