415 citations
- Argonne National LaboratoryUS38 papers
- National Institute for Subatomic PhysicsNL38 papers
- University of Illinois Urbana-ChampaignUS36 papers
- University of PennsylvaniaUS36 papers
- Kyoto UniversityJP35 papers
- The University of MelbourneAU35 papers
- TRIUMFCA35 papers
- Nagoya UniversityJP34 papers
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4 papers · 1 filter
Periodic Orbits in the Kepler-Heisenberg Problem
Corey Shanbrom
One can formulate the classical Kepler problem on the Heisenberg group, the simplest sub-Riemannian manifold. We take the sub-Riemannian Hamiltonian as our kinetic energy, and our…
Bounds for generalized Sidon sets
Xing Peng, Rafael Tesoro, Craig Timmons
Let be an abelian group and be integers. A set is a -set if given any set with , and any set $\{ k_1 , \dots , k_…
Linear Symplectomorphisms as R-Lagrangian Subspaces
J. Chris Hellmann, Brennan Langenbach, Michael VanValkenburgh
The graph of a real symplectic linear transformation is an R-Lagrangian subspace of a complex symplectic vector space. The restriction of the complex symplectic form is thus purely…
Hedging and Leveraging: Principal Portfolios of the Capital Asset Pricing Model
M. Hossein Partovi
The principal portfolios of the standard Capital Asset Pricing Model (CAPM) are analyzed and found to have remarkable hedging and leveraging properties. Principal portfolios implem…