Results 41 to 50 of about 211 (127)

Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

open access: yesMathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source

Ewald's Conjecture and integer points in algebraic and symplectic toric geometry

open access: yesProceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We solve several open problems concerning integer points of reflexive smooth polytopes, also known as monotone polytopes. While the paper belongs to the realm of discrete geometry, the connection with symplectic and algebraic geometry appears naturally since these polytopes have an important role in both areas.
Luis Crespo   +2 more
wiley   +1 more source

Multilayer cyclic periodicity-induced symplectic matrix decomposition for incipient fault diagnosis of wind turbine gearboxes

open access: yesJixie chuandong
ObjectiveAiming at the problem that wind turbine gearboxes operate in harsh environments, their incipient fault features are easily masked by strong background noise, and traditional signal processing algorithms are difficult to adaptively extract fault ...
MA Xiaojing   +7 more
doaj  

A Correction for the Paper "Symplectic geometry mode decomposition and its application to rotating machinery compound fault diagnosis"

open access: yes
The symplectic geometry mode decomposition (SGMD) is a powerful method for decomposing time series, which is based on the diagonal averaging principle (DAP) inherited from the singular spectrum analysis (SSA). Although the authors of SGMD method generalized the form of the trajectory matrix in SSA, the DAP is not updated simultaneously.
Zhang, Hong-Yan   +3 more
openaire   +2 more sources

DCAR Subarray Location Method in Complex Environment Based on ISGMD-TSELM

open access: yes
In distributed coherent aperture radar (DCAR) systems, achieving high-precision subarray localization in complex environments is a fundamental challenge for ensuring the coherence synthesis performance of the radar system.
Zhang, Zhaolin   +5 more
core   +1 more source

Pulling Back Theorem for Generalizing the Diagonal Averaging Principle in Symplectic Geometry Mode Decomposition and Singular Spectrum Analysis

open access: yes
18 pages, 6 figures, 5 ...
Zhang, Hong-Yan   +6 more
openaire   +2 more sources

基于SE-improved SGMD的混合储能容量优化配置方法研究

open access: yesGaoya dianqi
采用混合储能系统平抑风电输出功率波动可有效解决风电并网问题,而不同功率分配方法对混合储能优化配置结果影响大,为此提出一种基于样本熵改进的辛几何模态分解方法(sample entropy-improved symplectic geometric mode decomposition,SE-improved SGMD)的混合储能系统功率分配策略。首先,采用SGMD对不平衡功率进行分解,获取一系列辛几何分量SGC(symplectic geometry component);然后 ...
刘禹彤, 赵琳, 王鑫太
doaj  

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