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- Argonne National LaboratoryUS38 papers
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9 papers · 1 filter
Tying Quantum Knots
David S. Hall, Michael W. Ray, Konstantin Tiurev +3
Knots are familiar entities that appear at a captivating nexus of art, technology, mathematics, and science. As topologically stable objects within field theories, they have been s…
A path Turan problem for infinite graphs
Xing Peng, Craig Timmons
Let be an infinite graph whose vertex set is the set of positive integers, and let be the subgraph of induced by the vertices . An increasing pat…
Complete spelling rules for the Monster tower over three-space
Alex L Castro, Wyatt Howard, Corey Shanbrom
The Monster tower, also known as the Semple tower, is a sequence of manifolds with distributions of interest to both differential and algebraic geometers. Each manifold is a projec…
Stratospheric Imaging of Polar Mesospheric Clouds: A New Window on Small-Scale Atmospheric Dynamics
A. D. Miller, D. C. Fritts, D. Chapman +11
Instabilities and turbulence extending to the smallest dynamical scales play important roles in the deposition of energy and momentum by gravity waves throughout the atmosphere. Ho…
BFORE: The B-mode Foreground Experiment
Michael D. Niemack, Peter Ade, Francesco de Bernardis +19
The B-mode Foreground Experiment (BFORE) is a proposed NASA balloon project designed to make optimal use of the sub-orbital platform by concentrating on three dust foreground bands…
The Length Spectrum of the Sub-Riemannian Three-Sphere
David Klapheck, Michael VanValkenburgh
We determine the lengths of all closed sub-Riemannian geodesics on the three-sphere. Our methods are elementary and allow us to avoid using explicit formulas for the sub-Riemannian…