Results 61 to 70 of about 2,719 (189)
A fractal local smoothing problem for the wave equation
Bulletin of the London Mathematical Society, EarlyView.Abstract For any given set E⊂[1,2]$E\subset [1,2]$, we discuss a fractal frequency‐localized version of the Lp$L^p$ local smoothing estimates for the half‐wave propagator with times in E$E$. A conjecture is formulated in terms of a quantity involving the Assouad spectrum of E$E$ and the Legendre transform.
David Beltran +3 more
wiley +1 more source
Hausdorff measure and packing measure of the graph of dilation-stable Lévy processes
Journal of Mathematical Analysis and Applications, 2012 AbstractLet X={X(t),t∈R+} be a dilation-stable Lévy process on Rd. We determine a Hausdorff measure function ϕ(a) such that the graph G[0,1]={(t,X(t)):0⩽t⩽1} has positive finite ϕ-measure. We also investigate the packing measure of G[0,1].
openaire +2 more sources
Is every product system concrete?
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley +1 more source
Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
Artificial Intelligence–Based Approaches for Brain Tumor Segmentation in MRI: A Review
NMR in Biomedicine, Volume 38, Issue 11, November 2025.Manually segmenting brain tumors in magnetic resonance imaging is a time‐consuming task that requires years of professional experience and clinical expertise. We proposed a study, which contains a comprehensive review of the brain tumor segmentation techniques. It selects the effective approaches to better understand the AI applications for brain tumor
Khadija Bibi +9 more
wiley +1 more source
, 2015 For a given class $\mathcal{F}$ of closed sets of a measured metric space $(E,d,\mu)$, we want to find the smallest element $B$ of the class $\mathcal{F}$ such that $\mu(B)\geq 1-\alpha$, for a given ...
Gouic, Thibaut Le
core +1 more source
Automated detection system of metro tunnel lining crack using dynamic snake convolution
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 26, Page 4521-4542, 7 November 2025.Abstract Inspecting defects in tunnel linings is a crucial part of tunnel maintenance work. Traditional tunnel inspection methods are generally inefficient, making it difficult to complete intensive inspection tasks and provide detailed characteristic data of cracks within the limited maintenance time. In this research, a deep learning–driven automatic
Zhutian Pan +7 more
wiley +1 more source
Automated Segmentation of the Pituitary and Pineal Glands
Human Brain Mapping, Volume 46, Issue 15, October 15, 2025.This work presents a deep‐learning‐based tool for automatic segmentation of the pituitary and pineal glands. It has two novel aspects: it considers the anterior and posterior lobes as separate labels rather than a single, combined structure, and it is also the first deep‐learning protocol for pineal gland segmentation. ABSTRACT The pituitary and pineal
Kathleen E. Larson +6 more
wiley +1 more source