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124 papers · 1 filter
Constrained extremal problems in the Hardy space H2 and Carleman's formulas
Laurent Baratchart, Juliette Leblond, Fabien Seyfert
We study some approximation problems on a strict subset of the circle by analytic functions of the Hardy space H2 of the unit disk (in C), whose modulus satisfy a pointwise constra…
Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schrödinger Operator
Taous-Meriem Laleg-Kirati, Emmanuelle Crépeau, Michel Sorine
This article introduces a new signal analysis method. The main idea consists in interpreting a pulse-shaped signal, after multiplying it by a positive parameter, as a potential of…
The first rational Chebyshev knots
Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier
A Chebyshev knot is a knot which has a parametrization of the form where are integers, is the…
Traffic Grooming in Bidirectional WDM Ring Networks
Jean-Claude Bermond, Xavier Muñoz, Ignasi Sau Valls
We study the minimization of ADMs (Add-Drop Multiplexers) in optical WDM bidirectional rings considering symmetric shortest path routing and all-to-all unitary requests. We precise…
Continuum Equilibria and Global Optimization for Routing in Dense Static Ad Hoc Networks
Alonso Silva, Eitan Altman, Pierre Bernhard +1
We consider massively dense ad hoc networks and study their continuum limits as the node density increases and as the graph providing the available routes becomes a continuous area…
Compiling and securing cryptographic protocols
Yannick Chevalier, Michael Rusinowitch
Protocol narrations are widely used in security as semi-formal notations to specify conversations between roles. We define a translation from a protocol narration to the sequences…