Diffusive behavior of ergodic sums over rotations
Diffusive behavior of ergodic sums over rotations
For a rotation by an irrational [Formula: see text] on the circle and a BV function [Formula: see text], we study the variance of the ergodic sums [Formula: see text]. When [Formula: see text] is not of constant type, we construct sequences [Formula: see text] such that, at some scale, …