Results 71 to 80 of about 1,270 (170)
Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact 3-structure [PDF]
Czechoslovak Mathematical Journal, 1998 The author considers various kinds of geometrical structures on manifolds. Let us recall some of them: a) A Riemannian \(4n\)-manifold is said to be almost hyper-Hermitian (or quaternion-Hermitian, respectively) if its structure group \(SO(4n)\) can be reduced to the subgroup \(Sp(n)\) (or \(Sp(n)Sp(1)\), respectively).
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Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1956-1971, October 2026.ABSTRACT Aims Purpose: Dictionary matching is a standard tool in quantitative MRI (qMRI), but typically lacks uncertainty quantification (UQ). This is critical when advanced reconstructions (e.g., compressed sensing, deep learning) introduce complex‐valued, spatially varying, and temporally correlated noise that violates standard assumptions of ...
Brian Toner +7 more
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Stokes‐Based 3D Polarimetric Analysis of Dipolar Near‐Fields
Advanced Photonics Research, Volume 7, Issue 8, August 2026.Characterizing the near‐field polarization of dipolar emitters is of growing importance in nanophotonics, since many subwavelength systems resemble their emission. In this work, we apply the 3D Stokes formalism and its intrinsic reference frame to analyze the polarization properties of various dipole emitters from the near‐ to the far‐field, allowing a
Guillermo Serrera +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Deep‐Learning‐Based Image Reconstruction to Improve End‐Diastolic and Systolic Cardiac T1 Mapping
Magnetic Resonance in Medicine, Volume 96, Issue 2, Page 892-907, August 2026.ABSTRACT Purpose To develop an image reconstruction method that enables increased spatial resolution cardiac T1 mapping in both the end‐diastolic and systolic phase, that shows high T1 agreement with the clinical standard. The resolution gain is achieved by increasing the acceleration rate of MOLLI single‐shot images to R = 4, while maintaining a ...
Daniel Amsel +10 more
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Mixed Precision Augmented GMRES
Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.ABSTRACT We aim to accelerate the restarted generalized minimal residual (GMRES) method for the solutions of linear systems by combining two types of techniques. On the one hand, mixed precision GMRES algorithms, which use lower precision in certain steps of the inner cycles, offer significant reductions in computational and memory costs.
Yongseok Jang +2 more
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Almost Hermitian structures on the frame bundle of an almost Hermitian manifold [PDF]
Annales Polonici Mathematici, 1990 A. Tarrio, R. Castro
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Totally elliptic surface group representations
Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.Abstract A surface group representation into a Lie group is totally elliptic if every simple closed curve on the surface is mapped to an elliptic element. In this note, we characterize all totally elliptic surface group representations into PSL2R$\operatorname{PSL}_2 \mathbb {R}$ and PSL2C$\operatorname{PSL}_2\mathbb {C}$ by showing that they are ...
Arnaud Maret
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Almost Hermitian structures on tangent bundles
, 2019 In this article, we consider the almost Hermitian structure on $TM$ induced by a pair of a metric and an affine connection on $M$. We find the conditions under which $TM$ admits almost Kähler structures, Kähler structures and Einstein metrics, respectively. Moreover, we give two examples of Kähler-Einstein structures on $TM$.
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