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22 Publications
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 22255 |
Li, Y. (2026). Spectral rigidity and nonrigidity of dynamical systems. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-22255
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2026 |
Published |
Journal Article |
IST-REx-ID: 14278 |
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Koval, I. (2026). Local strong Birkhoff conjecture and local spectral rigidity of almost every ellipse. Inventiones Mathematicae. Springer Nature. https://doi.org/10.1007/s00222-025-01397-y
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| DOI
| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20839 |
Helfter, M. (2025). Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces. Journal of Fractal Geometry. EMS Press. https://doi.org/10.4171/jfg/177
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2025 |
Published |
Journal Article |
IST-REx-ID: 19496 |
Helfter, M. (2025). Scales. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-025-03719-5
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| WoS
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20185 |
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Tsodikovich, D. (2025). Local rigidity for symplectic billiards. Journal of Geometric Analysis. Springer Nature. https://doi.org/10.1007/s12220-025-02148-4
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| WoS
| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 22340 |
Henheik, S. J., Kaloshin, V., Li, Y., & Vig, A. (n.d.). Spectral rigidity of Liouville tori. arXiv. https://doi.org/10.48550/ARXIV.2511.10398
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| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 22341 |
Li, Y. (n.d.). Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv. https://doi.org/10.48550/ARXIV.2512.03865
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18483 |
Kaloshin, V., Koudjinan, E., & Zhang, K. (2024). Birkhoff conjecture for nearly centrally symmetric domains. Geometric and Functional Analysis. Springer Nature. https://doi.org/10.1007/s00039-024-00695-6
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| WoS
| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18586 |
CZUDEK, K. S., & Dolgopyat, D. (2024). The central limit theorem and rate of mixing for simple random walks on the circle. Alea. Instituto Nacional de Matematica Pura e Aplicada. https://doi.org/10.30757/ALEA.V21-70
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17231 |
Fiorebe, C. (2024). Examples of projective billiards with open sets of periodic orbits. Discrete and Continuous Dynamical Systems- Series A. American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2024059
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| WoS
2024 |
Published |
Journal Article |
IST-REx-ID: 17475 |
Koval, I., & Kwan, M. A. (2024). Exponentially many graphs are determined by their spectrum. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qmath/haae030
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| WoS
| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18065 |
Hou, X., Pan, Y., & Zhou, Q. (2024). Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109943
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| WoS
| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 12877 |
De Simoi, J., Kaloshin, V., & Leguil, M. (2023). Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. Springer Nature. https://doi.org/10.1007/s00222-023-01191-8
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| WoS
| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 14427 |
Chen, J., Kaloshin, V., & Zhang, H. K. (2023). Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-023-04837-z
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| WoS
| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 18959
Arnaud, M.-C., Hutchings, M., & Kaloshin, V. (2023). Dynamische Systeme. Oberwolfach Reports. EMS Press. https://doi.org/10.4171/owr/2023/30
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| DOI
2022 |
Published |
Journal Article |
IST-REx-ID: 11553 |
Clark, T., Drach, K., Kozlovski, O., & Strien, S. V. (2022). The dynamics of complex box mappings. Arnold Mathematical Journal. Springer Nature. https://doi.org/10.1007/s40598-022-00200-7
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2022 |
Published |
Journal Article |
IST-REx-ID: 11717 |
Drach, K., & Schleicher, D. (2022). Rigidity of Newton dynamics. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2022.108591
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| WoS
2022 |
Published |
Journal Article |
IST-REx-ID: 12145 |
Koudjinan, E., & Kaloshin, V. (2022). On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. Springer Nature. https://doi.org/10.1134/S1560354722050021
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| WoS
| arXiv
2022 |
Published |
Journal Article |
IST-REx-ID: 10706 |
Bialy, M., Fiorebe, C., Glutsyuk, A., Levi, M., Plakhov, A., & Tabachnikov, S. (2022). Open problems on billiards and geometric optics. Arnold Mathematical Journal. Hybrid: Springer Nature. https://doi.org/10.1007/s40598-022-00198-y
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| arXiv
2022 |
Published |
Journal Article |
IST-REx-ID: 17063 |
Arnaud, M.-C., Hofer, H. W., Hutchings, M., & Kaloshin, V. (2022). Dynamische Systeme. Oberwolfach Reports. EMS Press. https://doi.org/10.4171/owr/2021/33
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