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math.SG2026
On flat translated chains of contactomorphisms of and
Marco Mazzucchelli, Sheila Sandon
The paper defines flat translated chains of contactomorphisms and proves that any non‑trivial compactly supported contactomorphism of ℝ^{2n+1} or ℝ^{2n}×S^1 isotopic to the identit…
math.SG2024
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…