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math.DS2012
On manifolds supporting distributionally uniquely ergodic diffeomorphisms
Artur Avila, Bassam Fayad, Alejandro Kocsard
A smooth diffeomorphism is said to be distributionally uniquely ergodic (DUE for short) when it is uniquely ergodic and its unique invariant probability measure is the only invaria…
math.DS2012
On the Kotani-Last and Schrodinger conjectures
Artur Avila
In the theory of ergodic one-dimensional Schrodinger operators, ac spectrum has been traditionally expected to be very rigid. Two key conjectures in this direction state, on one ha…