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math.DS2008
On Sums of Indicator Functions in Dynamical Systems
Olivier Durieu, Dalibor Volny
In this paper, we are interested in the limit theorem question for sums of indicator functions. We show that in every aperiodic dynamical system, for every increasing sequence $(a_…
math.DS2008
An Indicator Function Limit Theorem in Dynamical Systems
Olivier Durieu, Dalibor Volny
We show by a constructive proof that in all aperiodic dynamical system, for all sequences such that and as $n\t…