Local strong Birkhoff conjecture and local spectral rigidity of almost every ellipse
I. Koval, Inventiones Mathematicae (2025).

Deformational rigidity of integrable metrics on the torus
S.J. Henheik, Ergodic Theory and Dynamical Systems 45 (2025) 467–503.

Local rigidity for symplectic billiards
D. Tsodikovich, Journal of Geometric Analysis 35 (2025).

Dynamical classification of analytic one-frequency quasi-periodic SO(3,R)-cocycles
X. Hou, Y. Pan, Q. Zhou, Advances in Mathematics 457 (2024).

Birkhoff conjecture for nearly centrally symmetric domains
V. Kaloshin, E. Koudjinan, K. Zhang, Geometric and Functional Analysis 34 (2024) 1973–2007.

Length spectrum rigidity for piecewise analytic Bunimovich billiards
J. Chen, V. Kaloshin, H.K. Zhang, Communications in Mathematical Physics 404 (2023) 1–50.

Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
J. De Simoi, V. Kaloshin, M. Leguil, Inventiones Mathematicae 233 (2023) 829–901.

The dynamics of complex box mappings
T. Clark, K. Drach, O. Kozlovski, S.V. Strien, Arnold Mathematical Journal 8 (2022) 319–410.

Rigidity of Newton dynamics
K. Drach, D. Schleicher, Advances in Mathematics 408 (2022).

On some invariants of Birkhoff billiards under conjugacy
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.