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Entropy collapse versus entropy rigidity for Reeb and Finsler flows
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math.DSmath.DGmath.SG
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entropyflowsclosedcontactfinslerreebtheretopological
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On every closed contact manifold there exist contact forms with volume one whose Reeb flows have arbitrarily small topological entropy. In contrast, for many closed manifolds there is a uniform positive lower bound for the topological entropy of (not necessarily reversible) normalized Finsler geodesic flows.
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