Let X and Y be Polish spaces with non-atomic Borel measures μ and ν of full support. Suppose that T and S are ergodic non-singular homeomorphisms of (X, μ) and (Y, ν) with continuous Radon-Nikodym… (More)

Consider an invertible measure-preserving transformation of a probability space. A finite partition of the space is called weakly independent if there are infinitely many images of this partition… (More)

Suppose X and Y are Polish spaces with non-atomic Borel probability measures µ and ν and suppose that T and S are ergodic measure-preserving homeomorphisms of (X, µ) and (Y, ν). Then there are… (More)