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20072025

most citedJet substructure as a new Higgs search channel at the LHC

394 citations

Showing math.GTShow all

2 papers · 1 filter

math.GT2009

The first rational Chebyshev knots

Pierre-Vincent Koseleff, Daniel Pecker, Fabrice Rouillier

A Chebyshev knot $C (a, b, c, ϕ)$ is a knot which has a parametrization of the form $x (t) = T_{a} (t); y (t) = T_{b} (t); z (t) = T_{c} (t + ϕ),$ where $a, b, c$ are integers, $T_{n} (t)$ is the…

math.GT2009

Chebyshev diagrams for two-bridge knots

Pierre-Vincent Koseleff, Daniel Pecker

We show that every two-bridge knot $K$ of crossing number $N$ admits a polynomial parametrization $x = T_{3} (t), y = T_{b} (t), z = C (t)$ where $T_{k} (t)$ are the Chebyshev polynomials and $…