29 citations · 33 across the 3 of their papers we have counts for
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math.DS2004
An invariance principle for maps with polynomial decay of correlations
Marta Tyran-Kaminska
We give a general method of deriving statistical limit theorems, such as the central limit theorem and its functional version, in the setting of ergodic measure preserving transfor…
cond-mat.stat-mech2004
Deterministic Brownian Motion: The Effects of Perturbing a Dynamical System by a Chaotic Semi-Dynamical System
Michael C. Mackey, Marta Tyran-Kaminska
Here we review and extend central limit theorems for highly chaotic but deterministic semi-dynamical discrete time systems. We then apply these results show how Brownian motion-lik…