Inequalities and counterexamples for functional intrinsic volumes and beyond
Abstract We show that analytic analogs of Brunn–Minkowski‐type inequalities fail for functional intrinsic volumes on convex functions. This is demonstrated both through counterexamples and by connecting the problem to results of Colesanti, Hug, and Saorín Gómez.
Fabian Mussnig, Jacopo Ulivelli
wiley +1 more source
A Break from the Norm? Parametric Representations of Preference Heterogeneity for Discrete Choice Models in Health. [PDF]
Buckell J +3 more
europepmc +1 more source
Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
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Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]
Abd El-Hady M +3 more
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On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids
Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
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A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices. [PDF]
Eichinger B, Lukić M, Young G.
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This paper presents a hierarchical scaling and normalization method to multi‐area signal measurements that dynamically relates both the angular phase domain and its amplitude in empirical analysis of power system oscillations. The proposed approach combines logarithmic relations and the Hilbert transform to derive an effective multi‐area data scaling ...
Pedro Esquivel +5 more
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Detection and Estimation of Diffuse Signal Components Using the Periodogram. [PDF]
Selva J.
europepmc +1 more source
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
wiley +1 more source
A novel formula for representing the equivalent resistance of the m × n cylindrical resistor network. [PDF]
Meng X, Jiang X, Zheng Y, Jiang Z.
europepmc +1 more source

