Results 31 to 40 of about 813 (142)

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Application of transient transport analysis method for modulation experiment

AIP Advances, 2021
A transient TRansport Analysis method for Modulation (t-TRAM) has been developed. This method consists of two methods. One is an instantaneous modulation analysis method using the Hilbert transform (HT) with the analytical mode decomposition (AMD).
Y. Ohtani, M. Yoshida, M. Honda, E. Narita   +3 more
doaj   +1 more source

Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

Fault Separation and Detection for Compound Bearing-Gear fault Condition Based on Decomposition of Marginal Hilbert Spectrum

IEEE Access, 2019
For the rotating machinery system, it is a challenge to explore fault detection and diagnosis for multiple-faults condition, which simultaneously contains faulty bearing components and faulty gear components.
Changning Li, Gang Yu, Baochuan Fu, Huiyi Hu, Xueli Zhu, Qixin Zhu   +5 more
doaj   +1 more source

Using Differential Geometry to Revisit the Paradoxes of the Instantaneous Frequency

IEEE Open Access Journal of Power and Energy, 2022
This paper proposes a general framework to interpret the concept of Instantaneous Frequency (IF) in three-phase systems. The paper first recalls the conventional frequency-domain analysis based on the Fourier transform as well as the definition of IF ...
Federico Milano, Georgios Tzounas, Ioannis Dassios, Mohammed Ahsan Adib Murad, Taulant Kerci   +4 more
doaj   +1 more source

Refined Division of Sleep Stages in the Mouse Based on Distributed Deep Electrodes and Underlying Infra‐Slow Oscillation

Journal of Sleep Research, Volume 35, Issue 4, August 2026.
ABSTRACT The mouse sleep is mostly recorded with only epidural electrodes and divided simply into NREM and REM stages. With the help of distributed intracerebral triplet electrodes, we searched for possible new electrophysiological signatures to characterise more specific sleep substages within the timeframe of seconds to tens of minutes.
Nanxiang Jin, Sara Häkli, Keerthana Malathi, Hennariikka Koivisto, Theodor Boc, Jonas Schimmel, Eric Castell‐Caubet, Irina Gureviciene, Heikki Tanila   +8 more
wiley   +1 more source

Rotor Fault Diagnosis Based on Characteristic Frequency Band Energy Entropy and Support Vector Machine

Entropy, 2018
Rotor is a widely used and easily defected mechanical component. Thus, it is significant to develop effective techniques for rotor fault diagnosis. Fault signature extraction and state classification of the extracted signatures are two key steps for ...
Bin Pang, Guiji Tang, Chong Zhou, Tian Tian   +3 more
doaj   +1 more source

Retinal Vessel Segmentation: A Comprehensive Review From Classical Methods to Deep Learning Advances (1982–2025)

Advanced Intelligent Systems, Volume 8, Issue 7, July 2026.
Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal, Jan Kubíček, Jana Bahrová, Alice Varyšová, Martin Augustýnek, Marek Penhaker, Juraj Timkovič   +6 more
wiley   +1 more source

Global Observational Comparison of Large‐Scale Traveling Atmospheric and Ionospheric Disturbances During the May 2024 Geomagnetic Storm

Geophysical Research Letters, Volume 53, Issue 12, 28 June 2026.
Abstract During the geomagnetic storm on 10 May 2024, neutral density measurements from 14 Tianmu, Swarm, and GRACE‐FO satellites at ∼510 km altitude, combined with total electron content (TEC) observations, enabled the first global observational comparison of large‐scale traveling atmospheric and ionospheric disturbances (LSTADs/TIDs) via snapshots ...
Xiaolong Wei, Guoying Jiang, Yajun Zhu, Yongping Li, Jiangzhao Ai, Tingwei Han, Huijun Le, Aibin Zhang, Jiyao Xu   +8 more
wiley   +1 more source