Results 21 to 30 of about 10,578 (149)
The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem
Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.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
wiley +1 more source
Complex Unitary Recurrent Neural Networks using Scaled Cayley Transform
, 2019 Recurrent neural networks (RNNs) have been successfully used on a wide range of sequential data problems. A well known difficulty in using RNNs is the \textit{vanishing or exploding gradient} problem.
Helfrich, Kyle E. +2 more
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Discrete Chiral Ballistic Polariton Laser
Laser &Photonics Reviews, Volume 19, Issue 15, August 7, 2025.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
The Critical Point of Unoriented Random Surfaces with a Non-Even Potential
, 1992 The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model.
Martín-Delgado, M. A.
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Data assimilation errors due to incomplete accounting of balanced versus unbalanced moisture
Quarterly Journal of the Royal Meteorological Society, Volume 151, Issue 769, April 2025 Part B.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
Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence
, 2017 Let $\mathbb F$ be a field of characteristic not $2$, and let $(A,B)$ be a pair of $n\times n$ matrices over $\mathbb F$, in which $A$ is symmetric and $B$ is skew-symmetric.
Bovdi, Victor A. +3 more
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G‐Convergence of Friedrichs Systems Revisited
Mathematical Methods in the Applied Sciences, Volume 48, Issue 5, Page 6081-6091, 30 March 2025.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
Advanced Quantum Technologies, Volume 8, Issue 3, March 2025.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
wiley +1 more source
An Alignment‐Agnostic Methodology for the Analysis of Designed Separations Data
Journal of Chemometrics, Volume 39, Issue 2, Page 1-12, February 2025.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
Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions
Mathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos +2 more
wiley +1 more source