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15 Publications
2024 | Published | Journal Article | IST-REx-ID: 18586 |

CZUDEK, Klaudiusz S, and Dmitry Dolgopyat. “The Central Limit Theorem and Rate of Mixing for Simple Random Walks on the Circle.” Alea. Instituto Nacional de Matematica Pura e Aplicada, 2024. https://doi.org/10.30757/ALEA.V21-70.
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2024 | Published | Journal Article | IST-REx-ID: 17231
Fiorebe, Corentin. “Examples of Projective Billiards with Open Sets of Periodic Orbits.” Discrete and Continuous Dynamical Systems- Series A. American Institute of Mathematical Sciences, 2024. https://doi.org/10.3934/dcds.2024059.
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2024 | Published | Journal Article | IST-REx-ID: 18065 |

Hou, Xuanji, Yi Pan, and Qi Zhou. “Dynamical Classification of Analytic One-Frequency Quasi-Periodic SO(3,R)-Cocycles.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109943.
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2024 | Published | Journal Article | IST-REx-ID: 18483 |

Kaloshin, Vadim, Edmond Koudjinan, and Ke Zhang. “Birkhoff Conjecture for Nearly Centrally Symmetric Domains.” Geometric and Functional Analysis. Springer Nature, 2024. https://doi.org/10.1007/s00039-024-00695-6.
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2024 | Published | Journal Article | IST-REx-ID: 17475 |

Koval, Illya, and Matthew Alan Kwan. “Exponentially Many Graphs Are Determined by Their Spectrum.” Quarterly Journal of Mathematics. Oxford University Press, 2024. https://doi.org/10.1093/qmath/haae030.
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2023 | Published | Journal Article | IST-REx-ID: 18959
Arnaud, Marie-Claude, Michael Hutchings, and Vadim Kaloshin. “Dynamische Systeme.” Oberwolfach Reports. EMS Press, 2023. https://doi.org/10.4171/owr/2023/30.
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2023 | Published | Journal Article | IST-REx-ID: 14427 |

Chen, Jianyu, Vadim Kaloshin, and Hong Kun Zhang. “Length Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04837-z.
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2023 | Published | Journal Article | IST-REx-ID: 12877 |

De Simoi, Jacopo, Vadim Kaloshin, and Martin Leguil. “Marked Length Spectral Determination of Analytic Chaotic Billiards with Axial Symmetries.” Inventiones Mathematicae. Springer Nature, 2023. https://doi.org/10.1007/s00222-023-01191-8.
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2022 | Published | Journal Article | IST-REx-ID: 10706 |

Bialy, Misha, Corentin Fiorebe, Alexey Glutsyuk, Mark Levi, Alexander Plakhov, and Serge Tabachnikov. “Open Problems on Billiards and Geometric Optics.” Arnold Mathematical Journal. Springer Nature, 2022. https://doi.org/10.1007/s40598-022-00198-y.
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2022 | Published | Journal Article | IST-REx-ID: 11553 |

Clark, Trevor, Kostiantyn Drach, Oleg Kozlovski, and Sebastian Van Strien. “The Dynamics of Complex Box Mappings.” Arnold Mathematical Journal. Springer Nature, 2022. https://doi.org/10.1007/s40598-022-00200-7.
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2022 | Published | Journal Article | IST-REx-ID: 11717 |

Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” Advances in Mathematics. Elsevier, 2022. https://doi.org/10.1016/j.aim.2022.108591.
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2022 | Published | Journal Article | IST-REx-ID: 17063 |

Arnaud, Marie-Claude, Helmut W. Hofer, Michael Hutchings, and Vadim Kaloshin. “Dynamische Systeme.” Oberwolfach Reports. European Mathematical Society, 2022. https://doi.org/10.4171/owr/2021/33.
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2022 | Published | Journal Article | IST-REx-ID: 12145 |

Koudjinan, Edmond, and Vadim Kaloshin. “On Some Invariants of Birkhoff Billiards under Conjugacy.” Regular and Chaotic Dynamics. Springer Nature, 2022. https://doi.org/10.1134/S1560354722050021.
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2021 | Published | Journal Article | IST-REx-ID: 8689 |

Chierchia, Luigi, and Edmond Koudjinan. “V.I. Arnold’s ‘“Global”’ KAM Theorem and Geometric Measure Estimates.” Regular and Chaotic Dynamics. Springer Nature, 2021. https://doi.org/10.1134/S1560354721010044.
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2021 | Submitted | Preprint | IST-REx-ID: 9435 |

Kaloshin, Vadim, and Edmond Koudjinan. “Non Co-Preservation of the 1/2 and 1/(2l+1)-Rational Caustics along Deformations of Circles.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2107.03499.
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