… and amenable equivalence relations, and the ConnesFeldman-Weiss Theorem that amenable
equivalence relations are hyperfinite ae We also include topics concerning amenability …

… The special properties of some equivalence orbits can be … In the context of equivalence
orbits, the Kepler motion not … real interest as part of an equivalence orbit. From a more general …

… into equivalence classes of (strong) orbit equivalent Systems … orbit equivalence has nothing
to do with entropy! In fact, the results of [5] show that, basically, entropy and orbit equivalence …

… An important topic in ergodic theory is the classification of probability measure preserving (…
orbit equivalence. Thus, we provide a large class of product actions whose orbit equivalence …

… of equivalence relation actions on simplicial complexes. We relate orbit equivalence to a …
and quasi-isometry of groups: measure equivalence. Rather than a complete description of …

… These are partial lecture notes from a topics graduate class … Λ are orbit equivalent if their
orbit equivalence relations are … Orbit equivalence is a much coarser notion of equivalence for …

… equivalent, ie there exists a bimeasurable … of orbit equivalence of ergodic (finite) measure
preserving transformations, proved that any two such transformations are orbit equivalent. An …

… We are especially interested in the orbit equivalence of shifts of finite type for two reasons.
First, the SFT case is basic for relating gT and orbit equivalence for general T (see Section 3, …

… wreath products up to orbit equivalence and show that C2 ≀F2 is orbit equivalent to Cn ≀F2.
In … that are orbit equivalent. Further information about orbit equivalence and all the topics in …

… — continuous orbit equivalence is a good topological analogue of orbit equivalence in the
… orbit equivalent but not conjugate. This ensures that the comparison between continuous …