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math.SG2021
Curve obstruction for autonomous diffeomorphisms on surfaces
Michael Khanevsky
Consider a Hamiltonian diffeomorphism on a surface. We describe several scenarios where a curve and its image provide a simple evidence that is not autonomous.
math.DS2021
-gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces
Michael Brandenbursky, Michael Khanevsky
Let be a surface equipped with an area form. There is an long standing open question by Katok, which, in particular, asks whether every entropy-zero Hamiltonian diffeomorphism…