ERGODICITY OF COCYLES OVER 2-DIMENSIONAL ROTATIONS
Résumé
We study recurrence and ergodicity of cocycles with values in R d , d ≥ 1, over rotations by badly approximable irrational numbers on T ρ , ρ > 1. The discontinuities of the functions generating the cocycles also satisfy a Diophantine condition. For simplicity of notation we mainly consider the cases ρ = 2, d = 1 and 2.
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