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math.SG2022★ 4 cited
Barcode entropy of geodesic flows
Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli
We introduce and study the barcode entropy for geodesic flows of closed Riemannian manifolds, which measures the exponential growth rate of the number of not-too-short bars in the…
math.DG2022
Surfaces of section for geodesic flows of closed surfaces
Gonzalo Contreras, Gerhard Knieper, Marco Mazzucchelli +1
We prove several results concerning the existence of surfaces of section for the geodesic flows of closed orientable Riemannian surfaces. The surfaces of section that we constr…