260 citations
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14 papers · 1 filter
Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
Habib Ammari, Matias Ruiz, Sanghyeon Yu +1
In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic r…
On the Global Linear Convergence of Frank-Wolfe Optimization Variants
Simon Lacoste-Julien, Martin Jaggi
The Frank-Wolfe (FW) optimization algorithm has lately re-gained popularity thanks in particular to its ability to nicely handle the structured constraints appearing in machine lea…
Compact Open Spectral Sets In
Aihua Fan, Shilei Fan, Ruxi Shi
In this article, we prove that a compact open set in the field of -adic numbers is a spectral set if and only if it tiles by translation, and also…
Gluing Hexagons at Three Loops
Benjamin Basso, Vasco Goncalves, Shota Komatsu +1
We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar SYM theory. We focus on correlators involving two BPS oper…
Massive and massless Dirac fermions in Pb1-xSnxTe topological crystalline insulator probed by magneto-optical absorption
B. A. Assaf, T. Phuphachong, V. V. Volobuev +5
Dirac fermions in condensed matter physics hold great promise for novel fundamental physics, quantum devices and data storage applications. IV-VI semiconductors, in the inverted re…
Habitat Fluctuations Drive Species Covariation in the Human Microbiota
Charles K. Fisher, Thierry Mora, Aleksandra M. Walczak
Two species with similar resource requirements respond in a characteristic way to variations in their habitat -- their abundances rise and fall in concert. We use this idea to lear…