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Markov-chain approach to a process with long-time memory

Guglielmo Lacorata, Ruben A. Pasmanter, Angelo Vulpiani

nlin.CDarXiv:nlin/0110010

Abstract

We show that long-term memory effects, present in the chaotic dispersion process generated by a meandering jet model, can be nonetheless taken into account by a first order Markov process, provided that the states of the phase space partition, chosen to describe the system, be appropriately defined.

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