Delayformer: Spatiotemporal Transformation for Predicting High‐Dimensional Dynamics
Advanced Science, EarlyView.Delayformer introduces a multivariate spatiotemporal transformation (mvSTI) that converts observed variables into delay‐embedded states and cross‐learns their dynamics using a shared Vision Transformer encoder. This approach, grounded in dynamical systems theory, simultaneously predicts all variables in high‐dimensional systems, outperforming state‐of ...
Zijian Wang, Peng Tao, Luonan Chen
wiley +1 more source
Krasnosel'skii fixed point theorem for dissipative operators
Electronic Journal of Differential Equations, 2011 In this note, a sufficient condition guaranteing the existence of fixed points in a nonempty, closed convex K for T+S is given, where $T:Ksubset Eo E$ is dissipative and $S:Ko E$ is condensing.
Tian Xiang
doaj
A Clarification on Quantum‐Metric‐Induced Nonlinear Transport
Advanced Science, EarlyView.How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang +4 more
wiley +1 more source
Common coupled fixed point theorems in $C^*$-algebra-valued metric spaces [PDF]
, 2016 Tianqing Cao, Qiaoling Xin
openalex +1 more source
Wave‐Partition‐Governed Dual‐Site Spallation in Single Crystals
Advanced Science, EarlyView.Crystalline anisotropy shapes shock‐wave propagation and the resulting damage evolution in single crystals. Large‐scale molecular dynamics and damage modeling uncover a dual‐spallation mechanism driven by anisotropic elasticplastic wave separation, which mitigates damage accumulation.
Youlin Zhu +6 more
wiley +1 more source
Nanoscopic Mapping of the Extracellular Space in Amyloid Plaque‐rich Cortex
Advanced Science, EarlyView.The extracellular space and diffusion around amyloid plaques are examined using shadow imaging and single‐particle tracking. Increased diffusivity is found near plaques, extracellular matrix alterations, and plaque core penetrability that varies with amyloid phenotype.
Juan Estaún‐Panzano +11 more
wiley +1 more source
A Pull‐Out Mooring Wave Energy Converter: Design, Analysis, and Application
Advanced Science, EarlyView.A pull‐out mooring wave energy converter (POM‐WEC) with a high‐performance electromagnetic power take‐off system efficiently converts low‐frequency wave excitation into high‐speed rotor motion, enabling reliable energy harvesting in real marine environments.
Weihan Xu +4 more
wiley +1 more source
A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley +1 more source
A hybrid common fixed point theorem under certain recent properties. [PDF]
ScientificWorldJournal, 2014 Kadelburg Z, Chauhan S, Imdad M.
europepmc +1 more source
On Generalization of Some Coincidence and Common Fixed Point Theorems for Three Self Mappings in Cone Metric Spaces [PDF]
, 2014 Ashlekha Dubey, Rohit Verma, R.P. Dubey
openalex +1 more source