1 citations · 1 across the 2 of their papers we have counts for
6 papers
Open problems on billiards and geometric optics
M. Bialy, C. Fierobe, A. Glutsyuk +3
This is a collection of open problems from workshop "Differential Geometry, Billiards, and Geometric Optics" at CIRM on October 4-8, 2021.
Thesis manuscript: Projective and complex billiards, periodic orbits and Pfaffian systems
Corentin Fierobe
This document is the manuscript of Corentin Fierobe's thesis about the billiard as a dynamical system. The first pages (title, introduction) are in French, but the rest of the docu…
On projective billiards with open subsets of triangular orbits
Corentin Fierobe
Ivrii's Conjecture states that in every billiard in Euclidean space the set of periodic orbits has measure zero. It implies that for every there are no k-reflective billia…
Examples of reflective projective billiards and outer ghost billiards
Corentin Fierobe
In the class of projective billiards, which contains the usual billiards, we exhibit counter-examples to Ivrii's conjecture, which states that in any planar billiard with smooth bo…
Complex caustics of the elliptic billiard
Corentin Fierobe
The article studies a generalization of the elliptic billiard to the complex domain. We show that the billiard orbits also have caustics, and that the number of such caustics is bi…
On the circumcenters of triangular orbits in elliptic billards
Corentin Fierobe
On an elliptic billard, we study a complex reflexion law introduced by A. Glutsyuk in order to state that the locus of the circumcenters of triangular orbits is an ellipse.