3 papers
math.SG2026
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…
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.SG2024
Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We study topological entropy of compactly supported Hamiltonian diffeomorphisms from a perspective of persistence homology and Floer theory. We introduce barcode entropy, a Floer-t…