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.
M.R.R.Alves,LegendriancontacthomologyandtopologicalentropyJ.Topol.Anal.,11(2019),53–108
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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.