Results 41 to 50 of about 99 (86)
A Graph‐Theoretic Approach to Detection of Parkinsonian Freezing of Gait From Videos
Statistics in Medicine, Volume 44, Issue 5, 28 February 2025.ABSTRACT Freezing of Gait (FOG) is a prevalent symptom in advanced Parkinson's Disease (PD), characterized by intermittent transitions between normal gait and freezing episodes. This study introduces a novel graph‐theoretic approach to detect FOG from video data of PD patients. We construct a sequence of pose graphs that represent the spatial relations
Qi Liu +5 more
wiley +1 more source
Geometric Relational Framework for General‐Relativistic Gauge Field Theories
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract It is recalled how relationality arises as the core insight of general‐relativistic gauge field theories from the articulation of the generalized hole and point‐coincidence arguments. Hence, a compelling case for a manifestly relational framework ensues naturally.
Jordan T. François, Lucrezia Ravera
wiley +1 more source
Advances in High Energy Physics, Volume 2025, Issue 1, 2025.We obtain the off‐shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti‐BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three (2 + 1)‐dimensional (3D) Abelian two‐form gauge theory with a single pseudoscalar field. The latter field (having the negative kinetic term
S. K. Panja +3 more
wiley +1 more source
Subgroups of bounded rank in hyperbolic 3‐manifold groups
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3829-3837, December 2024.Abstract We prove a finiteness theorem for subgroups of bounded rank in hyperbolic 3‐manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic 3‐manifolds is a tower of finite covers associated to a fibration over a 1‐orbifold.
Ian Biringer
wiley +1 more source
Pinching results for bi-slant submanifolds in trans-Sasakian manifolds
FilomatIn the present article, we consider bi-slant submanifolds in trans-Sasakian generalized Sasakian space forms. Specifically, we establish both the Chen first inequality and the Chen-Ricci inequality on such submanifolds. We provide an example of bi-slant submanifold.
Fortuné Massamba +2 more
openaire +1 more source
Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
wiley +1 more source
Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices
Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3785-3840, September 2024.Abstract We consider N×N$N\times N$ non‐Hermitian random matrices of the form X+A$X+A$, where A$A$ is a general deterministic matrix and NX$\sqrt {N}X$ consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, that is, that the local density of eigenvalues is bounded by N1+o(
László Erdős, Hong Chang Ji
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Flat band fine‐tuning and its photonic applications
Nanophotonics, Volume 13, Issue 21, Page 3925-3944, September 2024.Abstract Flat bands – single‐particle energy bands – in tight‐binding lattices, aka networks, have attracted attention due to the presence of macroscopic degeneracies and their sensitivity to perturbations. They support compact localized eigenstates protected by destructive interference. This makes them natural candidates for emerging exotic phases and
Carlo Danieli +3 more
wiley +1 more source
A novel multi‐model 3D object detection framework with adaptive voxel‐image feature fusion
IET Computer Vision, Volume 18, Issue 5, Page 640-651, August 2024.A voxel‐based single‐shot multi‐model network for 3D object detection is introduced, namely AVIFF. The authors made some new attempts in fusing features of point cloud and image by designing the adaptive feature fusion (AFF) module and dense fusion (DF) module.
Zhao Liu +3 more
wiley +1 more source
B.Y. CHEN INEQUALITIES FOR BI-SLANT SUBMANIFOLDS IN SASAKIAN SPACE FORMS
Demonstratio Mathematica, 2003 Originally, B. Y. Chen's inequality gives a lower bound \(B(c,n,\tau,\| H\|)\) for the sectional curvature of an \(n\)-dimensional submanifold \(M\) of a space \(\widetilde M\) of constant curvature \(c\), where \(\tau\) and \(\| H\|\) are the scalar curvature and the length of the mean curvature normal of \(M\).
openaire +1 more source