# A Strong Pair Correlation Bound Implies the CLT for Sinai Billiards

@article{Stenlund2009ASP, title={A Strong Pair Correlation Bound Implies the CLT for Sinai Billiards}, author={Mikko Stenlund}, journal={Journal of Statistical Physics}, year={2009}, volume={140}, pages={154-169} }

We investigate the possibility of proving the Central Limit Theorem (CLT) for Dynamical Systems using only information on pair correlations. A strong bound on multiple correlations is known to imply the CLT (Chernov and Markarian in Chaotic Billiards, 2006). In Chernov’s paper (J. Stat. Phys. 122(6), 2006), such a bound is derived for dynamically Hölder continuous observables of dispersing Billiards. Here we weaken the regularity assumption and subsequently show that the bound on multiple…

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