Spectral rigidity and integrability for billiards and geodesic flows
Project Period: 2021-03-01 – 2026-02-28
Funder:
EC/H2020
Acronym
SPERIG
Principal Investigator
Department(s)
Grant Number
885707
Funder
EC/H2020
8 Publications
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: 18112 |
Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems (2024).
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S.J. Henheik, Ergodic Theory and Dynamical Systems (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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| arXiv
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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| WoS
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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: 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: 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.