238 citations · 725 across the 31 of their papers we have counts for
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math.DS2009
Nonuniform Hyperbolicity, Global Dominated Splittings and Generic Properties of Volume-Preserving Diffeomorphisms
Artur Avila, Jairo Bochi
We study generic volume-preserving diffeomorphisms on compact manifolds. We show that the following property holds generically in the topology: Either there is at least one z…
math.DS2009
Opening Gaps in the Spectrum of Strictly Ergodic Schrödinger Operators
Artur Avila, Jairo Bochi, David Damanik
We consider Schrödinger operators with dynamically defined potentials arising from continuous sampling along orbits of strictly ergodic transformations. The Gap Labeling Theorem st…