688 citations · 3.2k across the 69 of their papers we have counts for
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math.DS2014
A trajectory-free framework for analysing multiscale systems
Gary Froyland, Georg A. Gottwald, Andy Hammerlindl
We develop algorithms built around properties of the transfer operator and Koopman operator which 1) test for possible multiscale dynamics in a given dynamical system, 2) estimate…
math.DS2014
Central limit theorems and suppression of anomalous diffusion for systems with symmetry
Georg A. Gottwald, Ian Melbourne
We give general conditions for the central limit theorem and weak convergence to Brownian motion (the weak invariance principle / functional central limit theorem) to hold for obse…