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51 papers · 1 filter
Polyak-Viro formulas for coefficients of the Conway polynomial
Sergei Chmutov, Michael Cap Khoury, Alfred Rossi
We describe the Polyak-Viro arrow diagram formulas for the coefficients of the Conway polynomial. As a consequence, we obtain the Conway polynomial as a state sum over some subsets…
Behavior of lacunary series at the natural boundary
O. Costin, M. Huang
We develop a local theory of lacunary Dirichlet series of the form as approaches the boundary $i\RR$, under the assumption…
Global solutions for two-phase Hele-Shaw bubble for a near-circular initial shape
J. Ye, S. Tanveer
Using a vortex sheet method we prove global existence of a near circular initial bubble in a Hele-Shaw cell with surface tension and generally finite nonzero viscosity ratio betwee…
Hypersurfaces of Constant Curvature in Hyperbolic Space I
Joel Spruck, Bo Guan, Marek Szapiel
We investigate the problem of finding complete strictly convex hypersurfaces of constant curvature in hyperbolic space with a prescribed asymptotic boundary at infinity for a gener…
ARQ-Based Secret Key Sharing
Mohamed Abdel Ghany, Ahmed Sultan, Hesham El Gamal
This paper develops a novel framework for sharing secret keys using existing Automatic Repeat reQuest (ARQ) protocols. Our approach exploits the multi-path nature of the wireless e…
Information Theory vs. Queueing Theory for Resource Allocation in Multiple Access Channels
Ali ParandehGheibi, Muriel Medard, Asuman Ozdaglar +1
We consider the problem of rate allocation in a fading Gaussian multiple-access channel with fixed transmission powers. The goal is to maximize a general concave utility function o…