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Vadim Kaloshin

Mathieu Helfter

Illya Koval

Yunzhe Li

Alessandra Nardi

Daniel Tsodikovich

Hamid Al-Saqban

Klaudiusz CZUDEK

Kostiantyn Drach

Corentin Fierobe

Comlan Koudjinan

Yi Pan

Amir Vig

Dan Zeng



22 Publications

2026 | Published | Thesis | PhD | IST-REx-ID: 22255 | OA
Li, Yunzhe. “Spectral Rigidity and Nonrigidity of Dynamical Systems.” Institute of Science and Technology Austria, 2026. https://doi.org/10.15479/AT-ISTA-22255.
[Published Version] View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 14278 | OA | PlanS
Koval, Illya. “Local Strong Birkhoff Conjecture and Local Spectral Rigidity of Almost Every Ellipse.” Inventiones Mathematicae. Springer Nature, 2026. https://doi.org/10.1007/s00222-025-01397-y.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20839 | OA
Helfter, Mathieu. “Sets with Arbitrary Hausdorff and Packing Scales in Infinite Dimensional Banach Spaces.” Journal of Fractal Geometry. EMS Press, 2025. https://doi.org/10.4171/jfg/177.
[Published Version] View | DOI | Download Published Version (ext.)
 
2025 | Published | Journal Article | IST-REx-ID: 19496 | OA
Helfter, Mathieu. “Scales.” Mathematische Zeitschrift. Springer Nature, 2025. https://doi.org/10.1007/s00209-025-03719-5.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20185 | OA | PlanS
Tsodikovich, Daniel. “Local Rigidity for Symplectic Billiards.” Journal of Geometric Analysis. Springer Nature, 2025. https://doi.org/10.1007/s12220-025-02148-4.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Draft | Preprint | IST-REx-ID: 22340 | OA
Henheik, Sven Joscha, Vadim Kaloshin, Yunzhe Li, and Amir Vig. “Spectral Rigidity of Liouville Tori.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2511.10398.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2025 | Draft | Preprint | IST-REx-ID: 22341 | OA
Li, Yunzhe. “Deformations of the Standard Map with Prescribed Actions and Lyapunov Exponents.” ArXiv, n.d. https://doi.org/10.48550/ARXIV.2512.03865.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 18483 | OA
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.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 18586 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 17231 | OA
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.
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 
2024 | Published | Journal Article | IST-REx-ID: 17475 | OA
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.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2024 | Published | Journal Article | IST-REx-ID: 18065 | OA
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.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 12877 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2023 | Published | Journal Article | IST-REx-ID: 14427 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
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.
View | DOI
 
2022 | Published | Journal Article | IST-REx-ID: 11553 | OA
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.
[Published Version] View | Files available | DOI
 
2022 | Published | Journal Article | IST-REx-ID: 11717 | OA
Drach, Kostiantyn, and Dierk Schleicher. “Rigidity of Newton Dynamics.” Advances in Mathematics. Elsevier, 2022. https://doi.org/10.1016/j.aim.2022.108591.
[Published Version] View | Files available | DOI | WoS
 
2022 | Published | Journal Article | IST-REx-ID: 12145 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 | Published | Journal Article | IST-REx-ID: 10706 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
2022 | Published | Journal Article | IST-REx-ID: 17063 | OA
Arnaud, Marie-Claude, Helmut W. Hofer, Michael Hutchings, and Vadim Kaloshin. “Dynamische Systeme.” Oberwolfach Reports. EMS Press, 2022. https://doi.org/10.4171/owr/2021/33.
[Published Version] View | DOI | Download Published Version (ext.)
 

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