Results 71 to 80 of about 2,265 (192)

Gromov-Hausdorff convergence theory of surfaces

, 2020
In this paper, we use the viewpoint of Gromov-Haustorff convergence to give some new comprehension of well known theorem,it is Huber's classification theorem\cite{Huber}\cite{MS}for complete Riemannian surfaces immersed in $\mathbb{R}^n$ with finite total curvature( $\int_Σ|A ...
Jianxin, Sun, Zhou, Jie
openaire   +2 more sources

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Lorentzian metric spaces and their Gromov–Hausdorff convergence

Letters in Mathematical Physics
AbstractWe present an abstract approach to Lorentzian Gromov–Hausdorff distance and convergence, and an alternative approach to Lorentzian length spaces that does not use auxiliary “positive signature” metrics or other unobserved fields. We begin by defining a notion of (abstract) bounded Lorentzian metric space which is sufficiently general to ...
E. Minguzzi, S. Suhr
openaire   +4 more sources

Precision or Paradox? AI‐Driven Adiposity Imaging in Women With Overweight and Obesity: A Systematic Review and Meta‐Analysis

Obesity Reviews, Volume 27, Issue 9, September 2026.
ABSTRACT Artificial intelligence (AI) enables automated, high‐throughput adiposity quantification, offering refined risk stratification for women with overweight and obesity. We systematically reviewed and meta‐analyzed studies evaluating AI‐based segmentation of visceral, subcutaneous, and total fat in adult women populations (BMI: 25–29.9 and ≥ 30 kg/
Asefa Adimasu Taddese, Bjorn T. Tam
wiley   +1 more source

Stability and equivariant Gromov–Hausdorff convergence

Bulletin of the London Mathematical Society
AbstractWe give applications of equivariant Gromov–Hausdorff convergence in various contexts. Namely, using equivariant Gromov–Hausdorff convergence, we prove a stability result in the setting of compact finite‐dimensional Alexandrov spaces. Moreover, we introduce the notion of an almost commutative diagram and show that its use simplifies both ...
openaire   +2 more sources

Free semigroups of large critical exponent

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley   +1 more source

Weak Convergence of Robust Functions on Topological Groups

Mathematics
This paper introduces weak variants of level convergence (L-convergence) and epigraph convergence (E-convergence) for nets of level functions on general topological spaces, extending the classical metric and real-valued frameworks to ordered codomains ...
Víctor Ayala, Heriberto Román-Flores, Adriano Da Silva   +2 more
doaj   +1 more source

Atmospheric River Climatology for the South Atlantic Basin Using an Image Processing‐Based Methodology

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 15, 16 August 2026.
Abstract Atmospheric Rivers (ARs) are narrow regions of extratropical water vapor transport, situated in the lower troposphere. They are responsible for a large proportion of poleward vapor transport from the tropics to the midlatitudes. Although ARs are known to cause devastating floods when encountering topography, they are a crucial source of water ...
A. K. Sneddon, R. C. Blamey, C. J. C. Reason   +2 more
wiley   +1 more source

Numerical Solution of Diffusion Models in Biomedical Imaging on Multicore Processors

International Journal of Biomedical Imaging, 2011
In this paper, we consider nonlinear partial differential equations (PDEs) of diffusion/advection type underlying most problems in image analysis. As case study, we address the segmentation of medical structures.
Luisa D'Amore, Daniela Casaburi, Livia Marcellino, Almerico Murli   +3 more
doaj   +1 more source

Adaptive Matrix‐Free Simulations of Fluid‐Filled Phase‐Field Fractures With Fixed‐Stress Coupling and Fracture‐Width Computation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT Fluid‐filled phase‐field fracture simulations require robust, scalable solvers that can handle strongly nonlinear, non‐smooth mechanics and tightly coupled flow on locally refined meshes. In this work, we develop an adaptive finite element framework for quasi‐static, fluid‐filled phase‐field fractures that combines semi‐smooth Newton methods ...
Leon M. Kolditz, Viktor Kosin, Sanghyun Lee, Thomas Wick   +3 more
wiley   +1 more source