@article{8416,
  abstract     = {In this paper, we show that any smooth one-parameter deformations of a strictly convex integrable billiard table Ω0 preserving the integrability near the boundary have to be tangent to a finite dimensional space passing through Ω0.},
  author       = {Huang, Guan and Kaloshin, Vadim},
  issn         = {1609-4514},
  journal      = {Moscow Mathematical Journal},
  number       = {2},
  pages        = {307--327},
  publisher    = {American Mathematical Society},
  title        = {{On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables}},
  doi          = {10.17323/1609-4514-2019-19-2-307-327},
  volume       = {19},
  year         = {2019},
}

@article{8501,
  abstract     = {In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees of freedom, and we prove a result of diffusion for an open and dense set of perturbations, with an optimal time of diffusion which grows linearly with respect to the inverse of the size of the perturbation.},
  author       = {Bounemoura, Abed and Kaloshin, Vadim},
  issn         = {1609-3321},
  journal      = {Moscow Mathematical Journal},
  keywords     = {General Mathematics},
  number       = {2},
  pages        = {181--203},
  publisher    = {Independent University of Moscow},
  title        = {{Generic fast diffusion for a class of non-convex Hamiltonians with two degrees of freedom}},
  doi          = {10.17323/1609-4514-2014-14-2-181-203},
  volume       = {14},
  year         = {2014},
}