Corentin Fierobe — Researcher in mathematics

Preprints

Rigidity of Mather's β-function on a KAM set for analytic billiards-like maps and unique quasi-analytic continuation [arXiv]

With Vadim Kaloshin and Frank Trujillo
Spectral rigidity among ellipses, Bialy's conjecture and local extrema of Mather's β-function [arXiv]
Rigidity of the Suris' potential in the Frenkel-Kontorova Model [arXiv]

With Daniel Tsodikovich

Publications

A billiard table close to an ellipse is deformationally spectrally rigid among dihedrally symmetric domains [arXiv]

Geometric And Functional Analysis (accepted for publication, sept. 2026) - With Vadim Kaloshin and Alfonso Sorrentino
Lazutkin coordinates and the conjugation problem for billiard maps [arXiv]

Czechoslovak Mathematical Journal (accepted for publication, sept. 2026)
On the existence of periodic invariant curves for analytic families of twist maps and billiards [DOI] [arXiv]

Revista Matemática Iberoamericana Vol. 42, No. 1, pp. 299–322. 2026. — With Alfonso Sorrentino
Starting the study of outer length billiards [DOI] [arXiv]

Pacific Journal of Mathematics Vol. 339, No. 2, pp. 201–222. 2025. — With Luca Baracco and Olga Bernardi
Deformational spectral rigidity of axially symmetric symplectic billiards [DOI] [arXiv]

Nonlinearity Vol. 38, No. 10. 2025. — With Alfonso Sorrentino and Amir Vig
Only quadrics have pseudo-caustics, on caustics of Riemannian, pseudo-Euclidean and projective billiards in higher dimensions [DOI] [arXiv]

Mathematische Zeitschrift Vol. 312, No. 67. 2026.
Lecture notes on Birkhoff billiards: dynamics, integrability and spectral rigidity [PDF] [DOI]

In: Modern aspects of dynamical systems, Lecture notes in Mathematics, Springer (authors: Claudio Bonanno, Alfonso Sorrentino, Corinna Ulcigrai) — With Vadim Kaloshin and Alfonso Sorrentino
Examples of reflective projective billiards [DOI] [arXiv]

Discrete and Continuous Dynamical Systems A Vol. 44, No. 11, pp. 3287–3301. 2024.
On projective billiards with open subsets of triangular orbits [DOI] [arXiv]

Israel Journal of Mathematics Vol. 267, pp. 501–548. 2024. (accepted for publication in 2021)
Open Problems on Billiards and Geometric Optics [DOI] [arXiv]

Arnold Mathematical Journal Vol. 8, pp. 411–422. 2022. — With Misha Bialy, Alexey Glutsyuk, Mark Levi, Alexander Plakhov, Sergei Tabachnikov
Complex caustics of the elliptic billiard [DOI] [arXiv]

Arnold Mathematical Journal Vol. 7, pp. 1–30. 2021.
Complex caustics of the elliptic billiard [DOI] [arXiv]

Arnold Mathematical Journal Vol. 7, pp. 1–30. 2021.
On the Circumcenters of triangular orbits in elliptic billiard [DOI] [arXiv]

Journal of Dynamical and Control Systems Vol. 27(4), pp. 693–705. 2021.
Le théorème de Lindemann-Weierstrass [PDF]

Journal de mathématique des élèves de l’ENS de Lyon, 2015.

Preprints

Rigidity of Mather's β-function on a KAM set for analytic billiards-like maps and unique quasi-analytic continuation [arXiv]

Spectral rigidity among ellipses, Bialy's conjecture and local extrema of Mather's β-function [arXiv]

Rigidity of the Suris' potential in the Frenkel-Kontorova Model [arXiv]

Publications

A billiard table close to an ellipse is deformationally spectrally rigid among dihedrally symmetric domains [arXiv]

Lazutkin coordinates and the conjugation problem for billiard maps [arXiv]

On the existence of periodic invariant curves for analytic families of twist maps and billiards [DOI] [arXiv]

Starting the study of outer length billiards [DOI] [arXiv]

Deformational spectral rigidity of axially symmetric symplectic billiards [DOI] [arXiv]

Only quadrics have pseudo-caustics, on caustics of Riemannian, pseudo-Euclidean and projective billiards in higher dimensions [DOI] [arXiv]

Lecture notes on Birkhoff billiards: dynamics, integrability and spectral rigidity [PDF] [DOI]

Examples of reflective projective billiards [DOI] [arXiv]

On projective billiards with open subsets of triangular orbits [DOI] [arXiv]

Open Problems on Billiards and Geometric Optics [DOI] [arXiv]

Complex caustics of the elliptic billiard [DOI] [arXiv]

Complex caustics of the elliptic billiard [DOI] [arXiv]

On the Circumcenters of triangular orbits in elliptic billiard [DOI] [arXiv]

Le théorème de Lindemann-Weierstrass [PDF]