Results 11 to 20 of about 1,102 (128)
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
wiley +1 more source
ABSTRACT This paper analyzes the dynamic behavior of a two‐degree‐of‐freedom system subjected to electromagnetic interaction modelled through a skew‐symmetric coupling matrix. The system comprises two mechanically independent oscillators coupled by velocity‐dependent electromagnetic forces.
Fernando Cortés +4 more
wiley +1 more source
ABSTRACT In this work, we propose a novel preconditioned minimal residual method for a class of real, nonsymmetric multilevel block Toeplitz systems, which generalizes an ideal preconditioner established in [J. Pestana. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40(3):870–
Grigorios Tachyridis, Sean Y. Hon
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ABSTRACT We review some known bounds on the eigenvalues of a matrix and use similar techniques to derive bounds for the class of nonlinear eigenproblems and, as a special case, the eigenvalues for LTI systems with delays. We present two classes of results.
Erik I. Verriest
wiley +1 more source
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh +1 more
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Discrete Chiral Ballistic Polariton Laser
Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner +5 more
wiley +1 more source
Data assimilation errors due to incomplete accounting of balanced versus unbalanced moisture
We investigate data assimilation strategies with moisture and assess the impact of accounting for moisture's balanced and unbalanced components. To illustrate the main ideas, examples are presented using a simple model consisting of linear, moist, shallow‐water equations with stochastic forcing.
H. Reed Ogrosky +3 more
wiley +1 more source
G‐Convergence of Friedrichs Systems Revisited
ABSTRACT We revisit the homogenization theory for Friedrichs systems. In particular, we show that G$$ G $$‐compactness can be obtained under severely weaker assumptions than in the original work of Burazin and Vrdoljak (2014). In this way, we extend the applicability of G$$ G $$‐compactness results for Friedrichs systems to equations that yield memory ...
K. Burazin, M. Erceg, M. Waurick
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Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
Detection and certification of entanglement and quantum correlations in materials is of fundamental and far‐reaching importance for both basic science and identification of systems suitable for novel technologies. This review article comprehensively covers witnesses suitable to condensed matter, their derivations and experimental applications.
Pontus Laurell +3 more
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An Alignment‐Agnostic Methodology for the Analysis of Designed Separations Data
ABSTRACT Chemical separations data are typically analyzed in the time domain using methods that integrate the discrete elution bands. Integrating the same chemical components across several samples must account for retention time drift over the course of an entire experiment as the physical characteristics of the separation are altered through several ...
Michael Sorochan Armstrong +1 more
wiley +1 more source

