20 citations · 84 across the 15 of their papers we have counts for
23 papers
Generalized uniform laws for tied-down occupation times of infinite ergodic transformations
Jon. Aaronson, Toru Sera
We establish a conditional limit theorem for occupation times of infinite ergodic transformations under a tied-down condition, that is, the condition that the orbit returns to a re…
Dynamics of inner functions revisited
Jon Aaronson, Mahendra Nadkarni
We study the circle restrictions of inner functions of the unit disc showing that the local invertibility of a restriction is independent of its singularity set and proving a local…
Tied-down occupation times of infinite ergodic transformations
Jon. Aaronson, Toru Sera
We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at "tied-down" times i…
On the bounded cohomology of ergodic group actions
Jon. Aaronson, Benjamin Weiss
In this note we show existence of bounded, transitive cocycles over a transitive action of a finitely generated group, and bounded, ergodic cocycles over an ergodic, probability pr…
Local limit theorems for suspended semiflows
Jon. Aaronson, Dalia Terhesiu
We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional ra…
Rational ergodicity of Step function Skew Products
Jon. Aaronson, Michael Bromberg, Nishant Chandgotia
We study rational step function skew products over certain rotations of the circle proving ergodicity and bounded rational ergodicity when rotation number is a quadratic irrational…