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22 Publications
2026 |
Published |
Thesis | PhD |
IST-REx-ID: 22255 |
Li Y. Spectral rigidity and nonrigidity of dynamical systems. 2026. doi:10.15479/AT-ISTA-22255
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2026 |
Published |
Journal Article |
IST-REx-ID: 14278 |
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Koval I. Local strong Birkhoff conjecture and local spectral rigidity of almost every ellipse. Inventiones Mathematicae. 2026;244:221-298. doi:10.1007/s00222-025-01397-y
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| arXiv
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 20839 |
Helfter M. Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces. Journal of Fractal Geometry. 2025. doi:10.4171/jfg/177
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2025 |
Published |
Journal Article |
IST-REx-ID: 19496 |
Helfter M. Scales. Mathematische Zeitschrift. 2025;310. doi:10.1007/s00209-025-03719-5
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20185 |
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Tsodikovich D. Local rigidity for symplectic billiards. Journal of Geometric Analysis. 2025;35(10). doi:10.1007/s12220-025-02148-4
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| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 22340 |
Henheik SJ, Kaloshin V, Li Y, Vig A. Spectral rigidity of Liouville tori. arXiv. doi:10.48550/ARXIV.2511.10398
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| arXiv
2025 |
Draft |
Preprint |
IST-REx-ID: 22341 |
Li Y. Deformations of the standard map with prescribed actions and Lyapunov exponents. arXiv. doi:10.48550/ARXIV.2512.03865
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18483 |
Kaloshin V, Koudjinan E, Zhang K. Birkhoff conjecture for nearly centrally symmetric domains. Geometric and Functional Analysis. 2024;34:1973-2007. doi:10.1007/s00039-024-00695-6
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18586 |
CZUDEK KS, Dolgopyat D. The central limit theorem and rate of mixing for simple random walks on the circle. Alea. 2024;21(2):1853-1865. doi:10.30757/ALEA.V21-70
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 17231 |
Fiorebe C. Examples of projective billiards with open sets of periodic orbits. Discrete and Continuous Dynamical Systems- Series A. 2024;44(11):3287-3301. doi:10.3934/dcds.2024059
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2024 |
Published |
Journal Article |
IST-REx-ID: 17475 |
Koval I, Kwan MA. Exponentially many graphs are determined by their spectrum. Quarterly Journal of Mathematics. 2024;75(3):869-899. doi:10.1093/qmath/haae030
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| arXiv
2024 |
Published |
Journal Article |
IST-REx-ID: 18065 |
Hou X, Pan Y, Zhou Q. Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles. Advances in Mathematics. 2024;457. doi:10.1016/j.aim.2024.109943
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| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 12877 |
De Simoi J, Kaloshin V, Leguil M. Marked Length Spectral determination of analytic chaotic billiards with axial symmetries. Inventiones Mathematicae. 2023;233:829-901. doi:10.1007/s00222-023-01191-8
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| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 14427 |
Chen J, Kaloshin V, Zhang HK. Length spectrum rigidity for piecewise analytic Bunimovich billiards. Communications in Mathematical Physics. 2023;404:1-50. doi:10.1007/s00220-023-04837-z
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| arXiv
2023 |
Published |
Journal Article |
IST-REx-ID: 18959
Arnaud M-C, Hutchings M, Kaloshin V. Dynamische Systeme. Oberwolfach Reports. 2023;20(3):1671-1730. doi:10.4171/owr/2023/30
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2022 |
Published |
Journal Article |
IST-REx-ID: 11553 |
Clark T, Drach K, Kozlovski O, Strien SV. The dynamics of complex box mappings. Arnold Mathematical Journal. 2022;8(2):319-410. doi:10.1007/s40598-022-00200-7
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2022 |
Published |
Journal Article |
IST-REx-ID: 11717 |
Drach K, Schleicher D. Rigidity of Newton dynamics. Advances in Mathematics. 2022;408(Part A). doi:10.1016/j.aim.2022.108591
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2022 |
Published |
Journal Article |
IST-REx-ID: 12145 |
Koudjinan E, Kaloshin V. On some invariants of Birkhoff billiards under conjugacy. Regular and Chaotic Dynamics. 2022;27(6):525-537. doi:10.1134/S1560354722050021
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| arXiv
2022 |
Published |
Journal Article |
IST-REx-ID: 10706 |
Bialy M, Fiorebe C, Glutsyuk A, Levi M, Plakhov A, Tabachnikov S. Open problems on billiards and geometric optics. Arnold Mathematical Journal. 2022;8:411-422. doi:10.1007/s40598-022-00198-y
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| arXiv
2022 |
Published |
Journal Article |
IST-REx-ID: 17063 |
Arnaud M-C, Hofer HW, Hutchings M, Kaloshin V. Dynamische Systeme. Oberwolfach Reports. 2022;18(3):1735-1803. doi:10.4171/owr/2021/33
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