69 citations · 85 across the 26 of their papers we have counts for
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math.DS2011
Decay of correlations for nonuniformly expanding systems with general return times
Ian Melbourne, Dalia Terhesiu
We give a unified treatment of decay of correlations for nonuniformly expanding systems with a good inducing scheme. In addition to being more elementary than previous treatments,…
math.DS2011
First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure
Ian Melbourne, Dalia Terhesiu
We generalize the proof of Karamata's Theorem by the method of approximation by polynomials to the operator case. As a consequence, we offer a simple proof of \emph{uniform dual er…