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math.DS2017
Infinite symmetric ergodic index and related examples in infinite measure
Isaac Loh, Cesar Silva, Ben Athiwaratkun
We define an infinite measure-preserving transformation to have infinite symmetric ergodic index if all finite Cartesian products of the transformation and its inverse are ergodic,…
math.DS2015
Strict Doubly Ergodic Infinite Transformations
Isaac Loh, Cesar E. Silva
We give examples of rank-one transformations that are (weak) doubly ergodic and rigid (so all their cartesian products are conservative), but with non-ergodic -fold cartesian pr…
math.DS2014
Ergodicity and Conservativity of products of infinite transformations and their inverses
Julien Clancy, Rina Friedberg, Indraneel Kasmalkar +4
We construct a class of rank-one infinite measure-preserving transformations such that for each transformation in the class, the cartesian product of the transforma…