4 papers
Extensions of invariant random orders on groups
Yair Glasner, Yuqing Frank Lin, Tom Meyerovitch
In this paper we study the action of a countable group on the space of orders on the group. In particular, we are concerned with the invariant probability measures on this spac…
Entropy for actions of free groups under bounded orbit-equivalence
Lewis Bowen, Yuqing Frank Lin
The -invariant is a notion of entropy for probability-measure-preserving actions of free groups. We show it is invariant under bounded orbit-equivalence.
A multiplicative ergodic theorem for von Neumann algebra valued cocycles
Lewis Bowen, Ben Hayes, Yuqing +1
The classical Multiplicative Ergodic Theorem (MET) of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lya…
A topological dynamical system with two different positive sofic entropies
Dylan Airey, Lewis Bowen, Frank Lin
A sofic approximation to a countable group is a sequence of partial actions on finite sets that asymptotically approximates the action of the group on itself by left-translations.…