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

K. S. CZUDEK and D. Dolgopyat, “The central limit theorem and rate of mixing for simple random walks on the circle,” Alea, vol. 21, no. 2. Instituto Nacional de Matematica Pura e Aplicada, pp. 1853–1865, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 18065 |

X. Hou, Y. Pan, and Q. Zhou, “Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles,” Advances in Mathematics, vol. 457. Elsevier, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 18483 |

V. Kaloshin, E. Koudjinan, and K. Zhang, “Birkhoff conjecture for nearly centrally symmetric domains,” Geometric and Functional Analysis, vol. 34. Springer Nature, pp. 1973–2007, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17475 |

I. Koval and M. A. Kwan, “Exponentially many graphs are determined by their spectrum,” Quarterly Journal of Mathematics, vol. 75, no. 3. Oxford University Press, pp. 869–899, 2024.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14427 |

J. Chen, V. Kaloshin, and H. K. Zhang, “Length spectrum rigidity for piecewise analytic Bunimovich billiards,” Communications in Mathematical Physics, vol. 404. Springer Nature, pp. 1–50, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12877 |

J. De Simoi, V. Kaloshin, and M. Leguil, “Marked Length Spectral determination of analytic chaotic billiards with axial symmetries,” Inventiones Mathematicae, vol. 233. Springer Nature, pp. 829–901, 2023.
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 10706 |

M. Bialy, C. Fiorebe, A. Glutsyuk, M. Levi, A. Plakhov, and S. Tabachnikov, “Open problems on billiards and geometric optics,” Arnold Mathematical Journal, vol. 8. Springer Nature, pp. 411–422, 2022.
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2022 | Published | Journal Article | IST-REx-ID: 11553 |

T. Clark, K. Drach, O. Kozlovski, and S. V. Strien, “The dynamics of complex box mappings,” Arnold Mathematical Journal, vol. 8, no. 2. Springer Nature, pp. 319–410, 2022.
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2022 | Published | Journal Article | IST-REx-ID: 11717 |

K. Drach and D. Schleicher, “Rigidity of Newton dynamics,” Advances in Mathematics, vol. 408, no. Part A. Elsevier, 2022.
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2022 | Published | Journal Article | IST-REx-ID: 17063 |

M.-C. Arnaud, H. W. Hofer, M. Hutchings, and V. Kaloshin, “Dynamische Systeme,” Oberwolfach Reports, vol. 18, no. 3. European Mathematical Society, pp. 1735–1803, 2022.
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2022 | Published | Journal Article | IST-REx-ID: 12145 |

E. Koudjinan and V. Kaloshin, “On some invariants of Birkhoff billiards under conjugacy,” Regular and Chaotic Dynamics, vol. 27, no. 6. Springer Nature, pp. 525–537, 2022.
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 8689 |

L. Chierchia and E. Koudjinan, “V.I. Arnold’s ‘“Global”’ KAM theorem and geometric measure estimates,” Regular and Chaotic Dynamics, vol. 26, no. 1. Springer Nature, pp. 61–88, 2021.
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| arXiv
2021 | Submitted | Preprint | IST-REx-ID: 9435 |

V. Kaloshin and E. Koudjinan, “Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles,” arXiv. .
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