Results 41 to 50 of about 15,601 (190)
The Adjunction Inequality for Weyl-Harmonic Maps
Complex Manifolds, 2020 In this paper we study an analog of minimal surfaces called Weyl-minimal surfaces in conformal manifolds with a Weyl connection (M4, c, D). We show that there is an Eells-Salamon type correspondence between nonvertical 𝒥-holomorphic curves in the ...
Ream Robert
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Quantization of Polaritons Confined in Dielectric Structures
Laser &Photonics Reviews, EarlyView.This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
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Resonant States Reveal Strong Light–Matter Coupling in Nanophotonic Cavities
Laser &Photonics Reviews, EarlyView.Photonic resonant states reveal characteristics of coupled light–matter systems that would otherwise be hidden by damping. Their trajectories (when tuning the optical resonance) undergo a qualitative change at the onset of strong coupling: They start swapping positions.
Jan David Fischbach +5 more
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Дифференциальная геометрия многообразий фигур, 2022 Finding the conditions for the invariance of geometric objects under the action of transformation groups is one of the main objects of geometric research.
S.V. Khokhlov, L.A. Ignatochkina
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Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
Journal of Function Spaces and Applications, 2013 We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
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Predicting Statistical Signatures of Collective Emission in Disordered Color Center Ensembles
Laser &Photonics Reviews, EarlyView.We present an efficient simulation framework for modeling collective emission in disordered ensembles of quantum emitters. The low computational complexity enables large‐scale Monte Carlo simulations. Applied to SiV−${\rm SiV}^{-}$ clusters, it predicts thresholded superradiant bursts set by emitter number and quantum efficiency, as well as interaction‐
Qingyi Zhou +4 more
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Para-Hermitian geometries for Poisson-Lie symmetric σ-models
Journal of High Energy Physics, 2019 The doubled target space of the fundamental closed string is identified with its phase space and described by an almost para-Hermitian geometry. We explore this setup in the context of group manifolds which admit a maximally isotropic subgroup.
Falk Hassler +2 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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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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