58 citations · 395 across the 20 of their papers we have counts for
Showing 2004Show all
2 papers · 1 filter
math.DS2004★ 26 cited
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★ 46 cited
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…