@article{12145,
  abstract     = {In the class of strictly convex smooth boundaries each of which has no strip around its boundary foliated by invariant curves, we prove that the Taylor coefficients of the “normalized” Mather’s β-function are invariant under C∞-conjugacies. In contrast, we prove that any two elliptic billiard maps are C0-conjugate near their respective boundaries, and C∞-conjugate, near the boundary and away from a line passing through the center of the underlying ellipse. We also prove that, if the billiard maps corresponding to two ellipses are topologically conjugate, then the two ellipses are similar.},
  author       = {Koudjinan, Edmond and Kaloshin, Vadim},
  issn         = {1468-4845},
  journal      = {Regular and Chaotic Dynamics},
  keywords     = {Mechanical Engineering, Applied Mathematics, Mathematical Physics, Modeling and Simulation, Statistical and Nonlinear Physics, Mathematics (miscellaneous)},
  number       = {6},
  pages        = {525--537},
  publisher    = {Springer Nature},
  title        = {{On some invariants of Birkhoff billiards under conjugacy}},
  doi          = {10.1134/S1560354722050021},
  volume       = {27},
  year         = {2022},
}