Results 71 to 80 of about 667 (261)

Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions

Symmetry, Integrability and Geometry: Methods and Applications, 2012
To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a ...
Carolina Neira Jiménez, Marie Françoise Ouedraogo   +1 more
doaj   +1 more source

BPS spectra of N=2 SO7 and SP4 models

Nuclear Physics B, 2017
Extending the folding method of ADE Dynkin diagrams of Lie algebras to BPS quivers of 4d N=2 supersymmetric gauge theory with ADE type gauge invariance, we study the BPS spectra for gauge symmetries with non-simply laced Lie algebras. Focussing on the 4d
R. Ahl Laamara, O. Mellal, E.H. Saidi
doaj   +1 more source

Spatial omics in the AI era: Technologies, algorithmic ecosystems, biological applications, and large model perspectives

iMeta, EarlyView.
This review focuses on spatial omics, covering the introduction and comparison of technology platforms, explanation and recommendation of algorithm ecology, demonstration of biological applications, and prospect of large models. It aims to help researchers in the interdisciplinary field of spatial omics quickly understand the current situation and ...
Haoxiu Wang, Xinwang Yang, Siheng Wang, Zhe Yang, Xiuhui Yang, Yutong Yang, Zirong Li, Yuqi Ren, Qianqian Zhang, Bowen Zhao, Jingming Xiao, Yidong Wang, Junhao Dong, Zhenhao Kou, Jie Li, Liqun Yang, Erhu Zhao, Gregory Fonseca, Ruibang Luo, Mingyu Yang, Hongjuan Cui, Gengjie Jia, Dan Wang, Haoyang Li, Jun Ding, Zhiyuan Yuan, Haojing Shao   +26 more
wiley   +1 more source

Robust Tests of Forecast Accuracy for Factor‐Augmented Regressions With an Application to the Novel EA‐MD‐QD Dataset

Journal of Applied Econometrics, EarlyView.
ABSTRACT We present four novel tests of equal predictive accuracy and encompassing á Pitarakis (2023, 2025) for factor‐augmented regressions. Factors are estimated using cross‐section averages (CAs) of grouped series and our theoretical findings are empirically relevant: asymptotic normality, robustness to an overspecification of the number of factors,
Alessandro Morico, Ovidijus Stauskas
wiley   +1 more source

Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs

Journal of Graph Theory, EarlyView.
ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch, Dániel Garamvölgyi, John Haslegrave, Tony Huynh, Jan Legerský, Anthony Nixon   +5 more
wiley   +1 more source

Quiver theories and formulae for nilpotent orbits of Exceptional algebras

Journal of High Energy Physics, 2017
We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
doaj   +1 more source

Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users

Laser &Photonics Reviews, EarlyView.
We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
wiley   +1 more source

Theory of Supercritical Coupling and Generalized Bound States in the Continuum

Laser &Photonics Reviews, EarlyView.
We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri, Bruno Miranda, Silvia Romano, Gianluigi Zito   +3 more
wiley   +1 more source

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, EarlyView.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]

ریاضی و جامعه
The Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim, Mehdi Jafari, Moslem Baghgoli   +2 more
doaj   +1 more source