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.
Meiwes, On the barcode entropy of Lagrangian submanifolds
3 Pith papers cite this work. Polarity classification is still indexing.
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math.SG 3years
2026 3verdicts
UNVERDICTED 3representative 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.
Proves that barcode entropy of relative symplectic cohomology SH_M(K) is bounded below by topological entropy of Reeb flow on any hyperbolic invariant set of δK.
citing papers explorer
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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.
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A lower bound for relative symplectic cohomology barcode entropy
Proves that barcode entropy of relative symplectic cohomology SH_M(K) is bounded below by topological entropy of Reeb flow on any hyperbolic invariant set of δK.