5 papers
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…
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…
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…
Barcode entropy of geodesic flows
Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli
We introduce and study the barcode entropy for geodesic flows of closed Riemannian manifolds, which measures the exponential growth rate of the number of not-too-short bars in the…