2 papers
math.DS2026
Isoenergetic degeneracy generically creates meandering invariant tori
Vadim Kaloshin, Illya Koval, Yi Pan
Consider the set of isoenergetically degenerate integrable Hamiltonians with two degrees of freedom. We show that a cusp-generic perturbation of a generic Hamiltonian in this set g…
math.DS2016
Dynamical Spectral rigidity among -symmetric strictly convex domains close to a circle
Jacopo De Simoi, Vadim Kaloshin, Qiaoling Wei +1
We show that any sufficiently (finitely) smooth -symmetric strictly convex domain sufficiently close to a circle is dynamically spectrally rigid, i.e. all deformations…