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Lebesgue orbit equivalence of multidimensional Borel flows: A picturebook of tilings
Published online by Cambridge University Press: 08 March 2016
Abstract
The main result of the paper is classification of free multidimensional Borel flows up to Lebesgue orbit equivalence, by which we mean an orbit equivalence that preserves the Lebesgue measure on each orbit. Two non-smooth $\mathbb{R}^{d}$-flows are shown to be Lebesgue orbit equivalent if and only if they admit the same number of invariant ergodic probability measures.
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- © Cambridge University Press, 2016
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