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math.DS2025
Finite and infinite invariant measures for adic transformations
Albert M. Fisher, Marina Talet
We classify the invariant Borel measures for adic transformations, where the alphabets have bounded size and the measure is finite on the path space of some sub-Bratteli diagram. W…
math.DS2013
Asymptotic self-similarity and order-two ergodic theorems for renewal flows
Albert M. Fisher, Marina Talet
We prove a log average almost-sure invariance principle (log asip) for renewal processes with positive i.i.d. gaps in the domain of attraction of an -stable law with . Dy…