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math.SG2023★ 2 cited
A generalized pseudo-rotation with positive topological entropy
Erman Cineli
In this note we give examples of Hamiltonian diffeomorphisms which are on one hand dynamically complicated, for instance with positive topological entropy, and on the other hand mi…
math.SG2023★ 4 cited
On the generic behavior of the spectral norm
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
The main result of the paper is that for any closed symplectic manifold the spectral norm of the iterates of a Hamiltonian diffeomorphism is locally uniformly bounded away from zer…
math.SG2023
Invariant Sets and Hyperbolic Closed Reeb Orbits
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel +1
We investigate the effect of a hyperbolic (or, more generally, isolated as an invariant set) closed Reeb orbit on the dynamics of a Reeb flow on the -dimensional standard c…