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Approximation of $Z_2$-cocycles and shift dynamical systems

Approximation of $Z_2$-cocycles and shift dynamical systems

n,+,, t >-0} be a subgroup of all roots of unity generated by exp(21ri/n, ), t >-0, and le_ t r: (X, B, ji) C) be an ergodic transformation with pure point spectrum G. Given a cocycle P , SO: X -Za , admitting an approximation with speed 0(l/nl+`, e …