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math.DS2008★ 2 cited
The Z^d Alpern multi-tower theorem for rectangles: a tiling approach
Ayse A. Sahin
We provide a proof of the Alpern multi-tower theorem for Z^d actions. We reformulate the theorem as a problem of measurably tiling orbits of a Z^d action by a collection of rectang…
math.DS2007
Dye's theorem in the almost continuous category
Andres del Junco, Ayse A. Sahin
We prove an almost continuous version of Dye's theorem: any two non-atomic probability measure preserving homeomorphisms of Polish spaces are almost continuously orbit equivalent.…