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math.DS2026
Strong invariance principles in deterministic systems
Zemer Kosloff, Dalibor Volny
We show that in every aperiodic, probability preserving dynamical system there is a function whose associated time series satisfies the almost sure invariance principle with rate a…
math.PR2026
On convergence to non normal laws for ergodic random fields
Dalibor Voln{ý}
For Z d actions equipped with a completely commuting filtration, normalized partial sums of martingale differences converge in distribution (see [V19]) but even if the action is er…