A notion of independence via moving targets

Jörg Schmeling

doi:10.3934/dcds.2006.15.269

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2006, Volume 15, Issue 1: 269-280. Doi: 10.3934/dcds.2006.15.269

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A notion of independence via moving targets

Jörg Schmeling^1,

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

Received: August 31, 2005

Revised: November 30, 2005

Published: February 2006

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Abstract

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:

Borel- Cantelli lemma,
non-ii.d dynamical processes,
Thermodynamical formalism.

Mathematics Subject Classification: Primary: 37c45.

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