Edmond Koudjinan
Kaloshin Group
7 Publications
2024 | Published | Journal Article | IST-REx-ID: 18483 |

Birkhoff conjecture for nearly centrally symmetric domains
V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis 34 (2024) 1973–2007.
[Published Version]
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V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis 34 (2024) 1973–2007.
2022 | Published | Journal Article | IST-REx-ID: 12145 |

On some invariants of Birkhoff billiards under conjugacy
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
[Preprint]
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| arXiv
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
2021 | Published | Journal Article | IST-REx-ID: 8689 |

V.I. Arnold's ''Global'' KAM theorem and geometric measure estimates
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 26 (2021) 61–88.
[Preprint]
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L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 26 (2021) 61–88.
2021 | Submitted | Preprint | IST-REx-ID: 9435 |

Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles
V. Kaloshin, E. Koudjinan, ArXiv (n.d.).
[Submitted Version]
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| arXiv
V. Kaloshin, E. Koudjinan, ArXiv (n.d.).
2020 | Published | Journal Article | IST-REx-ID: 8691 |

A KAM theorem for finitely differentiable Hamiltonian systems
E. Koudjinan, Journal of Differential Equations 269 (2020) 4720–4750.
[Preprint]
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| DOI
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| arXiv
E. Koudjinan, Journal of Differential Equations 269 (2020) 4720–4750.
2020 | Published | Journal Article | IST-REx-ID: 8694 |

Rigorous numerics for critical orbits in the quadratic family
A. Golmakani, E. Koudjinan, S. Luzzatto, P. Pilarczyk, Chaos 30 (2020).
[Preprint]
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| arXiv
A. Golmakani, E. Koudjinan, S. Luzzatto, P. Pilarczyk, Chaos 30 (2020).
2019 | Published | Journal Article | IST-REx-ID: 8693 |

V. I. Arnold’s “pointwise” KAM theorem
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 24 (2019) 583–606.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 24 (2019) 583–606.
Grants
7 Publications
2024 | Published | Journal Article | IST-REx-ID: 18483 |

Birkhoff conjecture for nearly centrally symmetric domains
V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis 34 (2024) 1973–2007.
[Published Version]
View
| Files available
| DOI
| arXiv
V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis 34 (2024) 1973–2007.
2022 | Published | Journal Article | IST-REx-ID: 12145 |

On some invariants of Birkhoff billiards under conjugacy
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.
2021 | Published | Journal Article | IST-REx-ID: 8689 |

V.I. Arnold's ''Global'' KAM theorem and geometric measure estimates
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 26 (2021) 61–88.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 26 (2021) 61–88.
2021 | Submitted | Preprint | IST-REx-ID: 9435 |

Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles
V. Kaloshin, E. Koudjinan, ArXiv (n.d.).
[Submitted Version]
View
| Files available
| DOI
| Download Submitted Version (ext.)
| arXiv
V. Kaloshin, E. Koudjinan, ArXiv (n.d.).
2020 | Published | Journal Article | IST-REx-ID: 8691 |

A KAM theorem for finitely differentiable Hamiltonian systems
E. Koudjinan, Journal of Differential Equations 269 (2020) 4720–4750.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
E. Koudjinan, Journal of Differential Equations 269 (2020) 4720–4750.
2020 | Published | Journal Article | IST-REx-ID: 8694 |

Rigorous numerics for critical orbits in the quadratic family
A. Golmakani, E. Koudjinan, S. Luzzatto, P. Pilarczyk, Chaos 30 (2020).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
A. Golmakani, E. Koudjinan, S. Luzzatto, P. Pilarczyk, Chaos 30 (2020).
2019 | Published | Journal Article | IST-REx-ID: 8693 |

V. I. Arnold’s “pointwise” KAM theorem
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 24 (2019) 583–606.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 24 (2019) 583–606.