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Quantitative Mixing for Locally Hamiltonian Flows with Saddle Loops on Compact Surfaces
Given a compact surface $$\mathcal {M}$$ with a smooth area form $$\omega $$ , we consider an open and dense subset of the set of smooth closed 1-forms on $$\mathcal {M}$$ with isolated zeros which admit at least one saddle loop homologous to zero and we prove that almost every …