Results 41 to 50 of about 2,785 (188)
The Journal of Physiology, EarlyView.Abstract figure legend Digital heart models of human donor atria with cardiac co‐morbidities revealed that regions with AWT variation, aligned myofibres adjacent to disorganised zones and fibrotic borders promoted the localisation and stability of RDs. AWT had a global influence, whereas fibre orientation and fibrosis exerted chamber‐specific regional ...
Anuradha Kulathilaka +8 more
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Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
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A note on the generalized Hausdorff and packing measures of product sets in metric space [PDF]
, 2022 Rihab Guedri, Najmeddine Attia
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Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1762-1777, March 2026.ABSTRACT Purpose This study aims to develop an automated framework for operator‐independent assessment of cardiac ventricular function from highly accelerated images. Methods We introduce a deep learning framework that generates reliable ventricular volumetric parameters and strain measures from fully sampled and retrospectively accelerated MR images ...
Aya Ghoul +7 more
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, 1999 The notion of a completely saturated packing [Fejes Toth, Kuperberg and Kuperberg, Highly saturated packings and reduced coverings, Monats. Math. 125 (1998) 127-145] is a sharper version of maximum density, and the analogous notion of a completely ...
Fejes Tóth +4 more
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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Measures and the Law of the Iterated Logarithm
, 2009 Let m be a unidimensional measure with dimension d. A natural question is to ask if the measure m is comparable with the Hausdorff measure (or the packing measure) in dimension d.
Bhouri, Imen, Heurteaux, Yanick
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Local dimensions in Moran constructions
, 2015 We study the dimensional properties of Moran sets and Moran measures in doubling metric spaces. In particular, we consider local dimensions and $L^q$-dimensions.
Käenmäki, Antti +2 more
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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