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math.SG2026
Robustness of topological entropy under small area deformations
Marcelo R. R. Alves, Matthias Meiwes, Beomjun Sohn
In this paper, we establish a new type of stability phenomenon for the topological entropy of Hamiltonian diffeomorphisms of closed surfaces. For a closed surface endowed with an a…
math.SG2026
Hofer-Zehnder capacity as a geodesic selector
Johanna Bimmermann, Beomjun Sohn
We compute the Hofer-Zehnder capacity of the unit disk cotangent bundle of every ellipsoid in . The capacity is determined by the smaller of two distinguished quantiti…
math.SG2023
Barcode entropy for Reeb flows on contact manifolds with Liouville fillings
Elijah Fender, Sangjin Lee, Beomjun Sohn
We study the topological entropy of Reeb flows on contact manifolds with Liouville fillings. With the theory of persistence modules, we define SH-barcode entropy from the symplecti…