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.
Fernandes, Wrapped Floer homology and hyperbolic sets
2 Pith papers cite this work. Polarity classification is still indexing.
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math.SG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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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.