A notion of independence via moving targets

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February 2006, 15(1): 269-280. doi: 10.3934/dcds.2006.15.269

A notion of independence via moving targets

1.	Centre for Mathematical Sciences, Lund University, P.O. Box 118, SE-221 00 Lund, Sweden

Received September 2005 Revised December 2005 Published February 2006

Abstract
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We introduce a new notion of independence based on the Borel--Cantelli lemma. We study this characteristic in the context of i.i.d. stochastic processes and processes driven by equilibrium dynamics.

Keywords: Thermodynamical formalism., Borel- Cantelli lemma, non-i.i.d dynamical processes.

Mathematics Subject Classification: Primary: 37c4.

Citation: Jörg Schmeling. A notion of independence via moving targets. Discrete & Continuous Dynamical Systems - A, 2006, 15 (1) : 269-280. doi: 10.3934/dcds.2006.15.269

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