How many future measures can there be?

The question addressed in this paper is the worst-case growth rate, for ergodic processes, in the number of conditional measures on n-steps in the future, given the past, that are a fixed distance apart. It is shown that if error is measured using the variational (i.e. distributional) distance then...

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Veröffentlicht in:Ergodic theory and dynamical systems 2002-02, Vol.22 (1), p.257-280
Hauptverfasser: MARTON, KATALIN, SHIELDS, PAUL C.
Format: Artikel
Sprache:eng
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