Higher-order necessary optimality conditions for extremum problems in topological vector spaces
Leon Mikołajczyk, Marcin Studniarski
openalex +2 more sources
Reconstructing Focal Topological Curves through Vortex Spots from Multifocal Metasurfaces
Multichannel multifocal silicon metasurfaces are built to reconstruct focal topological curves using an array of vortex spots, and upconverted fluorescence is used to directly visualize the morphology of the near‐infrared focal fields. Abstract Structured light plays an important role in modern photonics.
Hongguang Dong +4 more
wiley +1 more source
On-chip topological edge state cavities. [PDF]
Wang W, Shen Z, Tan YJ, Chen K, Singh R.
europepmc +1 more source
Paradoxical Topological Soliton Lattice in Anisotropic Frustrated Chiral Magnets
The article describes the discovery of a stable skyrmion‐antiskyrmion lattice (S‐AL) in anisotropic frustrated chiral magnets. This lattice has a net‐zero topological charge due to a balanced population of skyrmions and antiskyrmions. This is a paradoxical finding since these particles normally annihilate each other.
Sayan Banik +2 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Topological vector spaces over topological division rings: projective and inductive limits
Marilene Teixeira Balbi
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Dual spin‐orbit torque coming from two Pt layers effectively drives the magnetic domain wall motion (DWM) in a synthetic antiferromagnet consisting of two Co ferromagnetic layers coupled with interlayer exchange coupling (IEC). In addition, the antisymmetric version of IEC leads to low current density for nucleating DW and fast velocity of DWM ...
Hiroto Masuda +9 more
wiley +1 more source
ABB Theorems: Results and Limitations in Infinite Dimensions. [PDF]
Daniilidis A +2 more
europepmc +1 more source
Delayformer: Spatiotemporal Transformation for Predicting High‐Dimensional Dynamics
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
On the Classification of Bosonic and Fermionic One-Form Symmetries in 2 + 1 d and 't Hooft Anomaly Matching. [PDF]
Balasubramanian M +2 more
europepmc +1 more source

