Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces
M. Helfter, Journal of Fractal Geometry (2025).

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

Scales
M. Helfter, Mathematische Zeitschrift 310 (2025).

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

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

The central limit theorem and rate of mixing for simple random walks on the circle
K.S. CZUDEK, D. Dolgopyat, Alea 21 (2024) 1853–1865.

Examples of projective billiards with open sets of periodic orbits
C. Fiorebe, Discrete and Continuous Dynamical Systems- Series A 44 (2024) 3287–3301.

Exponentially many graphs are determined by their spectrum
I. Koval, M.A. Kwan, Quarterly Journal of Mathematics 75 (2024) 869–899.

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

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

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

Dynamische Systeme
M.-C. Arnaud, M. Hutchings, V. Kaloshin, Oberwolfach Reports 20 (2023) 1671–1730.

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.

Dynamische Systeme
M.-C. Arnaud, H.W. Hofer, M. Hutchings, V. Kaloshin, Oberwolfach Reports 18 (2022) 1735–1803.

Open problems on billiards and geometric optics
M. Bialy, C. Fiorebe, A. Glutsyuk, M. Levi, A. Plakhov, S. Tabachnikov, Arnold Mathematical Journal 8 (2022) 411–422.

V.I. Arnold's ''Global'' KAM theorem and geometric measure estimates
L. Chierchia, E. Koudjinan, Regular and Chaotic Dynamics 26 (2021) 61–88.

Non co-preservation of the 1/2 and  1/(2l+1)-rational caustics along deformations of circles
V. Kaloshin, E. Koudjinan, ArXiv (n.d.).