Flows and Their Representations
Part of the Texts and Readings in Mathematics book series (volume 6)
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Let (X, Ɓ) be a standard Borel space. A group τ t , t ∈ ℝ, of Borel automorphisms on (X, Ɓ) is called a jointly measurable flow, or simply a flow, if
the map (t, x) ↦ τ t x from ℝ × X → X is measurable, where ℝ × X is given the usual product Borel structure,
τ0x = x for all x ∈ X,
τ0x = τt ο τ s (x) for all t,s ∈ ℝ and all x ∈ ℝ.
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- J. Mathew and M. G. Nadkarni. Some Results on Cocycles and Spectra of Ergodic Flows, Statistics and Probability, Essays in Honour of C. R. Rao, edited by G. Kallianpur, P. Krishnaih, J. K. Ghosh, North-Holland, (1982) 493–504.Google Scholar
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