Results 51 to 60 of about 11,402 (264)

A Hecke algebra isomorphism over close local fields

Pacific Journal of Mathematics, 2022
Let $G$ be a split connected reductive group over $\mathbb{Z}$. Let $F$ be a non-archimedean local field. With $K_m: = Ker(G(\mathfrak{O}_F) \rightarrow G(\mathfrak{O}_F/\mathfrak{p}_F^m))$, Kazhdan proved that for a field $F'$sufficiently close local field to $F$, the Hecke algebras $\mathcal{H}(G(F),K_m)$ and $\mathcal{H}(G(F'),K_m')$ are isomorphic,
openaire   +2 more sources

Distinct Biotypes of Visual Perception in Major Depressive Disorder

Advanced Science, EarlyView.
In a discover dataset (272 acute MDD patients), this work identifies a novel depression biotype characterized by impaired visual motion perception, using machine learning clustering. An independent dataset confirms the robustness of this biotype through cross‐validation and demonstrates its generalizability.
Zhuoran Cai, Xi‐Wen Hu, Yuyang Li, Zheng Lin, Yongjie Li, Yong‐Chun Cai, Tao Xu, Ke Jia, Jin‐Fang Han, Zhong‐Lin Tan, Dezhong Yao, Xue Mei Song, Sugai Liang, Georg Northoff   +13 more
wiley   +1 more source

On lattice models of gapped phases with fusion category symmetries

Journal of High Energy Physics, 2022
We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite symmetries that admit SPT phases.
Kansei Inamura
doaj   +1 more source

Modeling and Verification of 1/f Noise Mechanisms in FAPbBr3 Single‐Crystal X‐Ray Detectors

Advanced Electronic Materials, EarlyView.
We demonstratethat surface‐trap‐induced carrier number fluctuations are the dominantmechanism in FAPbBr3 Schottky devices, a conclusion supported by thedistinct defect profiles revealed by Drive‐Level Capacitance Profiling (DLCP). Throughnoise contribution decomposition, it is found that the 1/f noise of thedetector is the key noise source affecting ...
Zhongyu Yang, Qingli Zhang, Yuting Liu, Binbin Liu, Zhiping Zheng, Guangda Niu, Ling Xu   +6 more
wiley   +1 more source

Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach

Advanced Electronic Materials, EarlyView.
An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza, Francesco Maria Esposito, Carlo Famoso, Arturo Buscarino   +3 more
wiley   +1 more source

Rota-Baxter Operators of Weight Zero on CayleyDickson Algebra with Matrix Images

Известия Иркутского государственного университета: Серия "Математика"
Rota-Baxter operators present a natural generalization of integration by parts formula for the integral operator. We consider Rota-Baxter operators of weight zero on split octonion algebra over a field of characteristic not 2.
A. S. Panasenko
doaj   +1 more source

Mapping the Innovation DNA of Agribusiness Firms: A Multi‐Method Analysis of Strategic Capabilities and Performance

Agribusiness, EarlyView.
ABSTRACT Innovation is essential for competitiveness in agribusiness facing dynamic environments. This study examines how market orientation, marketing, relational, and social capabilities influence innovation performance. Using data from 751 Spanish firms and a multi‐method approach that integrates Structural Equation Modeling (PLS‐SEM), Necessary ...
Beatriz Corchuelo Martínez‐Azúa, Alvaro Dias   +1 more
wiley   +1 more source

The hit problem of three variables for the cohomology of the classifying space BEs as a module over the mod 3 Steenrod Algebra at some low degrees

CTU Journal of Innovation and Sustainable Development
The hit problem, set up by F. Peterson, finds a minimal set of generators for the polynomial algebra P(s)=F_2 [x_1,x_2,…,x_s ], as a module over the mod-2 Steenrod algebra.
Bich Nhu Pham, Tu Thinh Nguyen
doaj   +3 more sources

Leibniz algebras: a brief review of current results

Karpatsʹkì Matematičnì Publìkacìï, 2019
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity $[[a,b],c]=[a,[b,c]]-[b,[a, c]]$ for all $a,b,c\in L$.
V.A. Chupordia, A.A. Pypka, N.N. Semko, V.S. Yashchuk   +3 more
doaj   +1 more source

Orders of a quaternion algebra over a number field.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1996
Let \(A\) be an algebra over a number field. The author studies the Dirichlet series whose coefficients are the numbers of orders of \(A\) with given index in a fixed maximal order of \(A\). He shows that the series has an Euler product whose Euler \(p\)-factors are rational functions of \(p^{-s}\).
openaire   +1 more source