On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.

Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom
A. Bounemoura, V. Kaloshin, Moscow Mathematical Journal 14 (2014) 181–203.