Results 21 to 30 of about 4,641 (126)

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Is Computing with Light All You Need? A Perspective on Codesign for Optical Artificial Intelligence and Scientific Computing

Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.
This perspective article considers what computations optical computing can and should enable. Focusing upon free‐space optical computing, it argues that a codesign approach whereby materials, devices, architectures, and algorithms are simultaneously optimized is needed.
Prasad P. Iyer, Gaurang R. Bhatt, Saaketh Desai, Elliot J. Fuller, Corinne M. Teeter, François Léonard, Craig M. Vineyard   +6 more
wiley   +1 more source

Frames of reference in spaces with affine connections and metrics

, 1999
A generalized definition of a frame of reference in spaces with affine connections and metrics is proposed based on the set of the following differential-geometric objects: (a) a non-null (non-isotropic) vector field, (b) the orthogonal to the vector
Fiziev P, Gogsadze Sh P, Hartley D, Hehl F W, Iliev B Z, Iliev B Z, Iliev B Z, Iliev B Z, Iliev B Z, Iliev B Z, Ivanitskaja O S, Ivanitskaja O S, Kleinert H, Linez A M, Manoff S, Manoff S, Manoff S, Manoff S, Manoff S, Manoff S, Manoff S, Mizkjewitsch N V, Moeller C, Nesterov A I, Norden A P, Raschewski P K, Roditchev V I, Roditchev V I, S Manoff, Saa A, Saa A, Saa A, Schmutzer E, Sinjukov N S, Uhlmann A, Vladimirov J S   +35 more
core   +2 more sources

Analytic solutions of the Madelung equation [PDF]

, 2017
We present analytic self-similar solutions for the one, two and three dimensional Madelung hydrodynamical equation for a free particle. There is a direct connection between the zeros of the Madelung fluid density and the magnitude of the quantum ...
Barna, Imre F., Mátyás, László, Pocsai, Mihály A.   +2 more
core   +3 more sources

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

Advanced Intelligent Systems, Volume 8, Issue 1, January 2026.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao, Ruixue Xu, Wujun Zhao, Xi‐Ming Sun, Yu Sun, Changsheng Dai   +5 more
wiley   +1 more source

Clifford algebras, Fourier transforms and quantum mechanics [PDF]

, 2012
In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
core   +2 more sources

Module structure of Weyl algebras

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL, Calogero Vetro   +3 more
wiley   +1 more source

A Note on Derived Geometric Interpretation of Classical Field Theories

, 2019
In this note, we would like to provide a conceptional introduction to the interaction between derived geometry and physics based on the formalism that has been heavily studied by Kevin Costello. Main motivations of our current attempt are as follows: (i)
Berktav, Kadri İlker
core   +1 more source

Adsorption and Separation by Flexible MOFs

Advanced Materials, Volume 37, Issue 52, December 29, 2025.
Flexible metal–organic frameworks (MOFs) present significant potential for gas storage and separation due to their structural dynamic. This review explores the rationale behind the flexible MOFs' enhanced working capacity and separation factors. It also addresses key challenges, including phase transition kinetics, crystal robustness, cycling, shaping,
Irena Senkovska, Volodymyr Bon, Antonia Mosberger, Yutong Wang, Stefan Kaskel   +4 more
wiley   +1 more source