Cocycles with conjugate periodic data over hyperbolic systems are Holder cohomologous under listed conditions, and topological conjugacies are smooth when derivative cocycles match, implying periodic data rigidity for weakly irreducible hyperbolic automorphisms.
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Periodic data rigidity for cocycles and hyperbolic automorphisms
Cocycles with conjugate periodic data over hyperbolic systems are Holder cohomologous under listed conditions, and topological conjugacies are smooth when derivative cocycles match, implying periodic data rigidity for weakly irreducible hyperbolic automorphisms.