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13 Publications
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 17231
Examples of projective billiards with open sets of periodic orbits
C. Fiorebe, Discrete and Continuous Dynamical Systems- Series A 44 (2024) 3287–3301.
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C. Fiorebe, Discrete and Continuous Dynamical Systems- Series A 44 (2024) 3287–3301.
2024 | Published | Journal Article | IST-REx-ID: 17475 | 
Exponentially many graphs are determined by their spectrum
I. Koval, M.A. Kwan, Quarterly Journal of Mathematics 75 (2024) 869–899.
[Published Version]
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I. Koval, M.A. Kwan, Quarterly Journal of Mathematics 75 (2024) 869–899.
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18065 |
Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles
X. Hou, Y. Pan, Q. Zhou, Advances in Mathematics 457 (2024).
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X. Hou, Y. Pan, Q. Zhou, Advances in Mathematics 457 (2024).
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18483 |
Birkhoff conjecture for nearly centrally symmetric domains
V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis (2024).
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V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis (2024).
2023 | Published | Journal Article | IST-REx-ID: 14427 |
Length spectrum rigidity for piecewise analytic Bunimovich billiards
J. Chen, V. Kaloshin, H.K. Zhang, Communications in Mathematical Physics 404 (2023) 1–50.
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J. Chen, V. Kaloshin, H.K. Zhang, Communications in Mathematical Physics 404 (2023) 1–50.
2023 | Published | Journal Article | IST-REx-ID: 12877 |
Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
J. De Simoi, V. Kaloshin, M. Leguil, Inventiones Mathematicae 233 (2023) 829–901.
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J. De Simoi, V. Kaloshin, M. Leguil, Inventiones Mathematicae 233 (2023) 829–901.
2022 | Published | Journal Article | IST-REx-ID: 10706 |
Open problems on billiards and geometric optics
M. Bialy, C. Fiorebe, A. Glutsyuk, M. Levi, A. Plakhov, S. Tabachnikov, Arnold Mathematical Journal 8 (2022) 411–422.
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M. Bialy, C. Fiorebe, A. Glutsyuk, M. Levi, A. Plakhov, S. Tabachnikov, Arnold Mathematical Journal 8 (2022) 411–422.
2022 | Published | Journal Article | IST-REx-ID: 11553 |
The dynamics of complex box mappings
T. Clark, K. Drach, O. Kozlovski, S.V. Strien, Arnold Mathematical Journal 8 (2022) 319–410.
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T. Clark, K. Drach, O. Kozlovski, S.V. Strien, Arnold Mathematical Journal 8 (2022) 319–410.
2022 | Published | Journal Article | IST-REx-ID: 11717 |
Rigidity of Newton dynamics
K. Drach, D. Schleicher, Advances in Mathematics 408 (2022).
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K. Drach, D. Schleicher, Advances in Mathematics 408 (2022).
2022 | Published | Journal Article | IST-REx-ID: 17063 |
Dynamische Systeme
M.-C. Arnaud, H.W. Hofer, M. Hutchings, V. Kaloshin, Oberwolfach Reports 18 (2022) 1735–1803.
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M.-C. Arnaud, H.W. Hofer, M. Hutchings, V. Kaloshin, Oberwolfach Reports 18 (2022) 1735–1803.
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.
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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.
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L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 26 (2021) 61–88.
2021 | 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, (2021).
[Submitted Version]
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V. Kaloshin, E. Koudjinan, (2021).