A. Junco

collaborators

3 papers

math.DS2008

Almost continuous orbit equivalence for non-singular homeomorphisms

Alexandre I. Danilenko, Andrés del Junco

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 $(Y, ν)$ …

math.DS2007

Partitions with independent iterates in random dynamical systems

Boris Begun, Andres del Junco

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…

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.…