Introduces persistent entropy measuring linear Shannon entropy growth in Floer barcodes and proves equality to barcode entropy for Hamiltonian diffeomorphisms along with inequalities for Liouville domains.
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math.SG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Barcode entropy is introduced as a Floer-theoretic invariant measuring small-scale complexity of Hamiltonian systems, shown to coincide with topological entropy in low dimensions.
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Persistent Entropy of Floer Persistence Barcodes
Introduces persistent entropy measuring linear Shannon entropy growth in Floer barcodes and proves equality to barcode entropy for Hamiltonian diffeomorphisms along with inequalities for Liouville domains.
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Topics in Symplectic Dynamics: Barcode Entropy
Barcode entropy is introduced as a Floer-theoretic invariant measuring small-scale complexity of Hamiltonian systems, shown to coincide with topological entropy in low dimensions.