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15 papers · 1 filter
Kinematic matrix theory and universalities in self-propellers and active swimmers
Amir Nourhani, Paul E. Lammert, Ali Borhan +1
We describe an efficient and parsimonious matrix-based theory for studying the ensemble behavior of self-propellers and active swimmers, such as nanomotors or motile bacteria, that…
The affine and Euclidean normalizers of the subperiodic groups
Brian Kevin VanLeeuwen, Pedro Valentín De Jesús, Daniel B. Litvin +1
The affine and Euclidean normalizers of the subperiodic groups, the Frieze groups, the rod groups, and the layer groups, are derived and listed. For the layer groups, the special m…
Generation bidding game with flexible demand
Yuquan Shan, Jayaram Raghuram, George Kesidis +5
For a simple model of price-responsive demand, we consider a deregulated electricity marketplace wherein the grid (ISO, retailer-distributor) accepts bids per-unit supply from gene…
Localized vorticity enhancement through superhelical coherent structure in observed tornadic supercells
Marcus Büker, Luke Odell, Joshua Wurman +2
New diagnostic methods are presented for localized, barotropic vorticity evolution in tornadic environments. These methods focus on superhelicity, a quantity shown to be strongly r…
Statistical Thermodynamics of Clustered Populations
Themis Matsoukas
We present a thermodynamic theory for a generic population of individuals distributed into groups (clusters). We construct the ensemble of all distributions with fixed …
Configuration spaces of plane polygons and a sub-Riemannian approach to the equitangent problem
J. Jeronimo-Castro, S. Tabachnikov
The equitangent locus of a convex plane curve consists of the points from which the two tangent segments to the curve have equal length. The equitangent problem concerns the relati…