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math.SG2025
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…
math.SG2025
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…
math.DS2025
Ergodic closing lemmas and invariant Lagrangians
Erman Cineli, Sobhan Seyfaddini, Shira Tanny
Motivated by the ergodic closing lemma of Mañé, we investigate the closing lemma in higher-dimensional Hamiltonian systems, with a focus on the statistical behavior of…