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Article Contents

# Weak mixing for logarithmic flows over interval exchange transformations

• We consider a class of special flows over interval exchange transformations which includes roof functions with symmetric logarithmic singularities. We prove that such flows are typically weakly mixing. As a corollary, minimal flows given by multivalued Hamiltonians on higher-genus surfaces are typically weakly mixing.
Mathematics Subject Classification: Primary: 37E35, Secondary: 37A25.

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