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

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

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

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.

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.

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