2 citations · 3 across the 9 of their papers we have counts for
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Topics in Symplectic Dynamics: Barcode Entropy
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel +1
Barcode entropy is an invariant of a Hamiltonian system -- a Hamiltonian diffeomorphism or a Reeb flow -- measuring its Morse or Floer theoretic complexity at a small scale. More s…
On the Barcode Entropy of Reeb Flows
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel +1
In this paper we continue investigating connections between Floer theory and dynamics of Hamiltonian systems, focusing on the barcode entropy of Reeb flows. Barcode entropy is the…
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…