An atomic theory of ergodic spaces
R. Caballero, A. de la Torre (1985)
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R. Caballero, A. de la Torre (1985)
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We prove a generalised tightness theorem for cocycles over an ergodic probability preserving transformation with values in Polish topological groups. We also show that subsequence tightness of cocycles over a mixing probability preserving transformation implies tightness. An example shows that this latter result may fail for cocycles over a mildly mixing probability preserving transformation.
Ryotaro Sato (1987)
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F. J. Martin-Reyes (1986)
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A. de la Torre, F. Martín-Reyes (1987)
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