12 citations · 49 across the 23 of their papers we have counts for
31 papers
Nonsingular transformations that are ergodic with isometric coefficients and not weakly doubly ergodic
Beatrix Haddock, James Leng, Cesar E. Silva
We study two properties of nonsingular and infinite measure-preserving ergodic systems: weak double ergodicity, and ergodicity with isometric coefficients. We show that there exist…
Rank-One Transformations, Odometers, and Finite Factors
Matthew Foreman, Su Gao, Aaron Hill +2
In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a given finite cyclic permutation, (…
Non-Rigid Rank-One Infinite Measures on the Circle
Hindy Drillick, Alonso Espinosa-Dominguez, Jennifer N. Jones-Baro +3
For a class of irrational numbers, depending on their Diophantine properties, we construct explicit rank-one transformations that are totally ergodic and not weakly mixing. We clas…
W-measurable sensitivity of semigroup actions
Francisc Bozgan, Anthony Sanchez, Cesar E. Silva +3
This paper studies the notion of W-measurable sensitivity in the context of semigroup actions. W-measurable sensitivity is a measurable generalization of sensitive dependence on in…
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,…
On conservative sequences and their application to ergodic multiplier problems
Madeleine Elyze, Alexander Kastner, Juan Ortiz Rhoton +2
The conservative sequence of a set under a transformation is the set of all such that . By studying these sequences, we…