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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…
math.SG2024
On the generic behavior of the spectral norm
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
The main result of the paper is that for any closed symplectic manifold the spectral norm of the iterates of a Hamiltonian diffeomorphism is locally uniformly bounded away from zer…
math.SG2024
On the growth of the Floer barcode
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
This paper is a follow up to the authors' recent work on barcode entropy. We study the growth of the barcode of the Floer complex for the iterates of a compactly supported Hamilton…