Results 11 to 20 of about 91,410 (58)
Advanced Science, Volume 10, Issue 35, December 15, 2023., 2023 High‐spatiotemporal‐resolution vector micro‐Doppler imaging (HVμDI) based on contrast‐free ultrafast high‐frequency ultrasound imaging is developed to visualize and quantify the cerebrovascular hemodynamics of the wild‐type (WT) and Alzheimer's disease (AD) mice.
Hsin Huang +8 more
wiley +1 more source
Cusps of hyperbolic 4‐manifolds and rational homology spheres
Proceedings of the London Mathematical Society, Volume 123, Issue 6, Page 636-648, December 2021., 2021 Abstract In the present paper, we construct a cusped hyperbolic 4‐manifold with all cusp sections homeomorphic to the Hantzsche–Wendt manifold, which is a rational homology sphere. By a result of Golénia and Moroianu, the Laplacian on 2‐forms on such a manifold has purely discrete spectrum. This shows that one of the main results of Mazzeo and Phillips
Leonardo Ferrari +2 more
wiley +1 more source
Quasicircles and width of Jordan curves in CP1
Bulletin of the London Mathematical Society, Volume 53, Issue 2, Page 507-523, April 2021., 2021 Abstract We study a notion of ‘width’ for Jordan curves in CP1, paying special attention to the class of quasicircles. The width of a Jordan curve is defined in terms of the geometry of its convex hull in hyperbolic three‐space. A similar invariant in the setting of anti‐de Sitter geometry was used by Bonsante–Schlenker to characterize quasicircles ...
Francesco Bonsante +3 more
wiley +1 more source
Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
$\Delta N$ Formalism and Conserved Currents in Cosmology
, 2019 The $\Delta N$ formalism, based on the counting of the number of e-folds during inflation in different local patches of the Universe, has been introduced several years ago as a simple and physically intuitive approach to calculate (non-linear) curvature ...
Matarrese, Sabino +2 more
core +1 more source
High‐resolution, volumetric diffusion‐weighted MR spectroscopic imaging of the brain
Magnetic Resonance in Medicine, Volume 94, Issue 2, Page 450-469, August 2025.ABSTRACT Purpose To achieve high‐resolution, three‐dimensional (3D) quantitative diffusion‐weighted MR spectroscopic imaging (DW‐MRSI) for molecule‐specific microstructural imaging of the brain. Methods We introduced and integrated several innovative acquisition and processing strategies for DW‐MRSI: (a) a new double‐spin‐echo sequence combining ...
Zepeng Wang, Bradley P. Sutton, Fan Lam
wiley +1 more source
Evolution of the curvature perturbations during warm inflation
, 2009 This paper considers warm inflation as an interesting application of multi-field inflation. Delta-N formalism is used for the calculation of the evolution of the curvature perturbations during warm inflation. Although the perturbations considered in this
+23 more
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Magnetic Resonance in Medicine, Volume 93, Issue 1, Page 228-244, January 2025.Abstract Purpose To introduce quantitative rapid gradient‐echo (QRAGE), a novel approach for the simultaneous mapping of multiple quantitative MRI parameters, including water content, T1, T2*, and magnetic susceptibility at ultrahigh field strength. Methods QRAGE leverages a newly developed multi‐echo MPnRAGE sequence, facilitating the acquisition of ...
Markus Zimmermann +9 more
wiley +1 more source
Continuous Transition of Defect Configuration in a Deformed Liquid Crystal Film
, 2010 We investigate energetically favorable configurations of point disclinations in nematic films having a bump geometry. Gradual expansion in the bump width {\Delta} gives rise to a sudden shift in the stable position of the disclinations from the top to ...
HIROYUKI SHIMA +3 more
core +1 more source