103 citations · 264 across the 55 of their papers we have counts for
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math.DS2019
Integrability of moduli and regularity of Denjoy counterexamples
Sang-hyun Kim, Thomas Koberda
We study the regularity of exceptional actions of groups by diffeomorphisms on the circle, i.e. ones which admit exceptional minimal sets, and whose elements have first d…
math.DS2008★ 9 cited
On ergodic transformations that are both weakly mixing and uniformly rigid
Jennifer James, Thomas Koberda, Kathryn Lindsey +2
We examine some of the properties of uniformly rigid transformations, and analyze the compatibility of uniform rigidity and (measurable) weak mixing along with some of their asympt…
math.DS2006
Measurable Sensitivity
Jennifer James, Thomas Koberda, Kathryn Lindsey +2
We introduce the notion of measurable sensitivity, a measure-theoretic version of the condition of sensitive dependence on initial conditions. It is a consequence of light mixing,…