Local limit theorem in deterministic systems

2019/05/13 by Kosloff, Zemer, Volny, Dalibor · 1 citation
#28D05 #37A05 #37A50 #60F05 #60G10 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.05164

Abstract

We show that for every ergodic and aperiodic probability preserving system, there exists a ℤ valued, square integrable function f such that the partial sums process of the time series \f∘ Tⁱ\_i=0^∞ satisfies the lattice local limit theorem.

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