Results 31 to 40 of about 281 (108)
Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
Annalen der Physik, Volume 538, Issue 7, July 2026.ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
wiley +1 more source
Matrix-valued optimal mass transportation and its applications [PDF]
, 2013 University of Minnesota Ph.D. dissertation. November 2013. Major: Electrical Engineering. Advisor: Tryphon T. Georgiou. 1 computer file (PDF); viii, 93 pages.The subject of this thesis is the geometry of matrix-valued density functions.
Ning, Lipeng
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
The role of the curvature of a surface in the shape of the solutions to elliptic equations
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali +2 more
wiley +1 more source
Epilepsia, Volume 67, Issue 6, Page 3009-3022, June 2026.Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan +15 more
wiley +1 more source
Deep Learning Unlocks Behavioral Prediction and Neurobehavioral Decoding
Med Research, Volume 2, Issue 2, Page 371-387, June 2026.This review evaluates deep learning frameworks that surmount conventional limitations through high‐dimensional nonlinear modeling, spatiotemporal dependency capture, and multimodal information integration. Focusing on biological behavior forecasting and neural mechanism decoding, we delineate cutting‐edge applications, including real‐time action ...
Tianzhe Han +5 more
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 6, June 2026.ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source
Riemannin metriikoiden asemasta konformigeometriassa ja kvasikonformikuvausten teoriassa
, 2013 Conformal geometry and the theory of quasiconformal mappings are branches of mathematics that have a broad spectrum of applications ranging from theories in modern physics to recent applications in the inverse conductivity problem.
Liimatainen, Tony
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On the convergence and collapsing of Kahler metrics
, 1999 In this paper we consider the convergence and collapsing of Kahler manifolds. While the convergence and collapsing of Riemannian manifolds have been discussed by many people and applied to many fields, how to generalize it to Kahler case is not apriorily
Ruan, Wei Dong
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A geometric approach to nonlinear dissipative balanced reduction: Continuous and sampled-time
, 2016 In almost every field of applied science and engineering, dynamical models are widely used as a professional tool to describe in a compact format the scientific knowledge we have about the phenomena we are analyzing.
Lopez Lena Estrada, R. +1 more
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