Results 101 to 110 of about 97,059 (278)
On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
doaj +1 more source
Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces
Journal of Graph Theory, EarlyView.ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) $G=(V,E)$ is said to be ( X , Y ) $(X,Y)$‐embeddable if any set of induced edge lengths from an ...
Sean Dewar +3 more
wiley +1 more source
Complexity, 2017 We propose an expansion of multivariate time-series data into maximally independent source subspaces. The search is made among rotations of prewhitened data which maximize non-Gaussianity of candidate sources.
Carlos A. L. Pires, Abdel Hannachi
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Frozen Differential Scattering in Reconfigurable Complex Media
Laser &Photonics Reviews, EarlyView.A localized perturbation universally results in a rank‐one update of the scattering matrix of any complex medium. The resulting differential output wavefront is “frozen”: its spatial pattern is fixed (agnostic to the input wavefront). Experiments with a programmable‐metasurface‐parametrized wireless link validate frozen differential scattering and ...
Philipp del Hougne
wiley +1 more source
Loop Quantum Photonic Chip for Coherent Multi‐Time‐Step Evolution
Laser &Photonics Reviews, EarlyView.A loop quantum photonic chip (Loop‐QPC) enabling efficient multi‐step quantum simulation in a single run is demonstrated. Combining recirculating loops with cycle‐or‐measure control, Loop‐QPC eliminates repeated reprogramming and reduces loss. Experimental demonstration of three‐step unitary evolution confirms high‐fidelity operation, showcasing the ...
Yuancheng Zhan +9 more
wiley +1 more source
Operators associated with the soft and hard spectral edges of unitary ensembles
, 2006 Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of the operators associated with soft and hard edges of eigenvalue distributions of random matrices. Tracy and Widom introduced a projection operator $W$
Blower, Gordon
core
Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics
Laser &Photonics Reviews, EarlyView.The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi +5 more
wiley +1 more source
Controlling Collective Quasiparticle Dynamics Beyond Decoherence in Topological Interfaces
Laser &Photonics Reviews, EarlyView.Gold nanoparticles placed above a deformed honeycomb plasmonic crystal couple to a chiral topological interface mode. The pseudospin‐split bands ψ+/ ψ− encode spin‐momentum locking, so emitters radiate directionally along the domain wall and share a common phase.
Fatemeh Davoodi
wiley +1 more source
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces
IEEE AccessThe implementation of the Koopman operator on digital computers often relies on the approximation of its action on finite-dimensional function spaces. This approximation is generally done by orthogonally projecting on the subspace.
Masih Haseli, Jorge Cortes
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