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22 Publications
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 22255 |
Y. Li, “Spectral rigidity and nonrigidity of dynamical systems,” Institute of Science and Technology Austria, 2026.
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2026 |
Published |
Journal Article |
IST-REx-ID: 14278 |
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I. Koval, “Local strong Birkhoff conjecture and local spectral rigidity of almost every ellipse,” Inventiones Mathematicae, vol. 244. Springer Nature, pp. 221–298, 2026.
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20839 |
M. Helfter, “Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces,” Journal of Fractal Geometry. EMS Press, 2025.
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2025 |
Published |
Journal Article |
IST-REx-ID: 19496 |
M. Helfter, “Scales,” Mathematische Zeitschrift, vol. 310. Springer Nature, 2025.
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| WoS
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20185 |
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D. Tsodikovich, “Local rigidity for symplectic billiards,” Journal of Geometric Analysis, vol. 35, no. 10. Springer Nature, 2025.
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| WoS
| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 22340 |
S. J. Henheik, V. Kaloshin, Y. Li, and A. Vig, “Spectral rigidity of Liouville tori,” arXiv. .
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| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 22341 |
Y. Li, “Deformations of the standard map with prescribed actions and Lyapunov exponents,” arXiv. .
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| arXiv
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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| arXiv
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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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17231 |
C. Fiorebe, “Examples of projective billiards with open sets of periodic orbits,” Discrete and Continuous Dynamical Systems- Series A, vol. 44, no. 11. American Institute of Mathematical Sciences, pp. 3287–3301, 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
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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| 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
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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| WoS
| arXiv
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: 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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| WoS
| 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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| arXiv
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. EMS Press, pp. 1735–1803, 2022.
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