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math.SP2001
Periodic points of quasianalytic Hamiltonian billiards
M. Novitskii, Yu. Safarov
We study absolutely periodic points and trajectories of Hamiltonian systems. Our main result is a necessary and sufficient for a Hamiltonian system to have the following property:…
math.SP2001
Birkhoff's theorem and multidimensional numerical range
Yuri Safarov
We study the relation between the spectrum of a self-adjoint operator and its multidimensional numerical range. It turns out that the multidimensional numerical range is a convex s…