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An introduction to Eulerian Geometrical Optics (1992-2002)
This document is an attempt at introducing the different «Eulerian» numerical methods which have recently been developed for the simulation of geometric optics and... -
A Eulerian Method for Capturing Caustics
A robust numerical method for the localization of caustics is proposed for general Hamiltonians. It is based on the direct resolution of a system of partial... -
On the class of caustics by reflection
21 pages, 1 figure -
Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile
35 pages; main theorems gathered in section 2; examples and counterexamples gathered in section 3; examples 3.1 and 3.4 added; example 3.3 extended to the case of smooth... -
Robust stability at the swallowtail singularity
International audience -
Perestroikas of vertex sets at umbilic points
V2: Latex, 17 pages, 9 figures. Some minor misprints added. Interesting comments from Prof. V.I. Arnold added
