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Sequential visibility-graph motifs.
(American Physical Society, 2016-04-14)
Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics ...
Renormalizable two-parameter piecewise isometries.
(2016-06)
We exhibit two distinct renormalization scenarios for two-parameter piecewise isometries, based on 2π/5 rotations of a rhombus and parameter-dependent translations. Both scenarios rely on the recently established ...