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Robustness of topological entropy under small area deformations
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 area form $(Σ,ω)$ and a Hamiltonian diffeomorphism $ϕ$ of $(Σ,ω)$, we show that for every $\varepsilon>0$ there exists $A
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