Results 121 to 130 of about 210,506 (318)
A note on the law of the iterated logarithm in Hilbert space [PDF]
, 1989 Uwe Einmahl
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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
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Local Field Aperiodic Spectral Power Modulated by Deep Brain Stimulation in Parkinson's Disease
Movement Disorders, EarlyView.Abstract Background Aperiodic spectral broadband power has been described recently as reflecting Parkinson's disease (PD) severity. It has therefore become an increasing focus of research interest in the context of the new adaptive deep brain stimulation (DBS) approach.
Martin Lamoš +6 more
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Some analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations. Part 1 [PDF]
Opuscula Mathematica, 2006 The analytical properties of dissolving operators related with the Cauchy problem for a class of nonautonomous partial differential equations in Hilbert spaces are studied using theory of bi-linear forms in respectively rigged Hilbert spaces triples ...
Marzena Pytel-Kudela +1 more
doaj
Subsets of a Hilbert space, having finite hausdorff dimension [PDF]
, 1990 V.I. Shubov
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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Approximating fixed points of enriched nonexpansive mappings by\n Krasnoselskij iteration in Hilbert spaces [PDF]
, 2019 Vasile Berinde
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Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
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