On multiple ergodicity of affine cocycles over irrational rotations

Jean-Pierre Conze, Agata Piekniewska

Let T_αdenote the rotation T_αx=x+α(mod 1) by an irrational number αon the additive circle T=[0,1). Let β_1,..., β_d be d\geqslant 1 parameters in [0, 1). One of the goals of this…