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The partial visibility curve of the Feigenbaum cascade to chaos
Juan Carlos Nuño, Francisco J. Muñoz
A family of classical mathematical problems considers the visibility properties of geometric figures in the plane, e.g. curves or polygons. In particular, the {\it domination probl…
The Visibility Graph: a new method for estimating the Hurst exponent of fractional Brownian motion
Lucas Lacasa, Bartolo Luque, Jordi Luque +1
Fractional Brownian motion (fBm) has been used as a theoretical framework to study real time series appearing in diverse scientific fields. Because its intrinsic non-stationarity a…
From time series to complex networks: the visibility graph
Lucas Lacasa, Bartolo Luque, Fernando Ballesteros +2
In this work we present a simple and fast computational method, the visibility algorithm, that converts a time series into a graph. The constructed graph inherits several propertie…