7 citations · 17 across the 7 of their papers we have counts for
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math.DS2016★ 4 cited
Martingale-coboundary decomposition for families of dynamical systems
A. Korepanov, Z. Kosloff, I. Melbourne
We prove statistical limit laws for sequences of Birkhoff sums of the type where is a family of nonuniformly hyperbolic transformations. The…
physics.data-an2016★ 4 cited
On the detection of superdiffusive behaviour in time series
Georg A. Gottwald, Ian Melbourne
We present a new method for detecting superdiffusive behaviour and for determining rates of superdiffusion in time series data. Our method applies equally to stochastic and determi…
math.DS2016★ 7 cited
Explicit coupling argument for nonuniformly hyperbolic transformations
A. Korepanov, Z. Kosloff, I. Melbourne
The transfer operator corresponding to a uniformly expanding map enjoys good spectral properties. Here it is verified that coupling yields explicit estimates that depend continuous…