Spectral rigidity and integrability for billiards and geodesic flows

Project Information

SPERIG

Grant agreement ID: 885707

DOI

10.3030/885707

EC signature date 19 May 2020

Start date 1 March 2021

End date 28 February 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 820 816,00

EU contribution

€ 1 820 816,00

Coordinated by

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Austria

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Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (8)

Local Rigidity for Symplectic Billiards

Author(s): Daniel Tsodikovich
Published in: The Journal of Geometric Analysis, Issue 35, 2025, ISSN 1050-6926
Publisher: American Mathematical Society
DOI: 10.1007/s12220-025-02148-4

Addendum to “A Hyperbolic View of the Seven Circles Theorem”

Author(s): Kostiantyn Drach, Richard Evan Schwartz
Published in: The Mathematical Intelligencer, Issue 45, 2023, Page(s) 91-91, ISSN 0343-6993
Publisher: Springer Verlag
DOI: 10.1007/s00283-022-10231-9

Partial Frequency and Frequency Ratio in Multiscale KAM Formulism

Author(s): Weichao Qian, Xue Yang, Yong Li
Published in: Journal of Dynamics and Differential Equations, 2025, ISSN 1040-7294
Publisher: Plenum Publishers
DOI: 10.1007/s10884-025-10422-w

Length Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards

Author(s): Jianyu Chen; Vadim Kaloshin; Hong-Kun Zhang
Published in: Communications in Mathematical Physics, 2023, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-023-04837-z

Erratum to: On Some Invariants of Birkhoff Billiards Under Conjugacy

Author(s): Comlan E. Koudjinan, Vadim Kaloshin
Published in: Regular and Chaotic Dynamics, Issue 27, 2023, Page(s) 757-757, ISSN 1560-3547
Publisher: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354722060107

Deformational rigidity of integrable metrics on the torus

Author(s): JOSCHA HENHEIK
Published in: Ergodic Theory and Dynamical Systems, Issue 45, 2025, Page(s) 467-503, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2024.48

On some invariants of Birkhoff billiards under conjugacy

Author(s): Koudjinan E, Kaloshin V.
Published in: Regular and Chaotic Dynamics, Issue 27(6), 2022, Page(s) 525-537, ISSN 1560-3547
Publisher: Turpion - Moscow Ltd.
DOI: 10.1134/s1560354722050021

Birkhoff Conjecture for Nearly Centrally Symmetric Domains

Author(s): V. Kaloshin, C. E. Koudjinan, Ke Zhang
Published in: Geometric and Functional Analysis, Issue 34, 2024, Page(s) 1973-2007, ISSN 1016-443X
Publisher: Birkhauser Verlag
DOI: 10.1007/s00039-024-00695-6

Other (1)

MARKED LENGTH SPECTRAL DETERMINATION OF ANALYTIC CHAOTIC BILLIARDS WITH AXIAL SYMMETRIES

Author(s): JACOPO DE SIMOI, VADIM KALOSHIN, MARTIN LEGUIL
Published in: 2022
Publisher: arXiv
DOI: 10.48550/arxiv.1905.00890