Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes
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Francis Hirsch, Shiqi Song (1996)
Annales de l'I.H.P. Probabilités et statistiques
Claude Dellacherie (1974)
Séminaire de probabilités de Strasbourg
Anthony P. Metcalfe, Neil O’Connell, Jon Warren (2009)
Annales de l'I.H.P. Probabilités et statistiques
When two Markov operators commute, it suggests that we can couple two copies of one of the corresponding processes. We explicitly construct a number of couplings of this type for a commuting family of Markov processes on the set of conjugacy classes of the unitary group, using a dynamical rule inspired by the RSK algorithm. Our motivation for doing this is to develop a parallel programme, on the circle, to some recently discovered connections in random matrix theory between reflected and conditioned...
Winkler, Gerhard (1984)
Proceedings of the 12th Winter School on Abstract Analysis
V. Gundlach, G. Ochs (2000)
Colloquium Mathematicae
We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.
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