4 papers · 1 filter
Closed Orbits of Dynamically Convex Reeb Flows: Towards the HZ- and Multiplicity Conjectures
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We study the multiplicity problem for prime closed orbits of dynamically convex Reeb flows on the boundary of a star-shaped domain in . The first of our two main r…
Filtered Symplectic Homology and Closed Reeb Orbits
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We further explore connections between the symplectic homology persistence module and the properties of closed Reeb orbits for star-shaped domains in higher dimensions. Our first r…
From Barcode Entropy to Metric Entropy
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We establish a connection between barcode entropy and metric entropy. Namely, we show that the barcode entropy bounds the metric entropy from below for a measure from a specific cl…
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…