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Chaotic renormalization group flow and entropy gradients over Haros graphs
Jorge Calero-Sanz, Bartolo Luque, Lucas Lacasa
Haros graphs have been recently introduced as a set of graphs bijectively related to real numbers in the unit interval. Here we consider the iterated dynamics of a graph operator $…
Haros graphs: an exotic representation of real numbers
Jorge Calero-Sanz, Bartolo Luque, Lucas Lacasa
This paper introduces Haros graphs, a construction which provides a graph-theoretical representation of real numbers in the unit interval reached via paths in the Farey binary tree…
Network bypasses sustain complexity
Ernesto Estrada, Jesús Gómez-Gardeñes, Lucas Lacasa
Real-world networks are neither regular nor random, a fact elegantly explained by mechanisms such as the Watts-Strogatz or the Barabasi-Albert models, among others. Both mechanisms…
Correlations of network trajectories
Lucas Lacasa, Jorge P. Rodriguez, Victor M. Eguiluz
Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal…
Visibility graphs of animal foraging trajectories
Leticia R. Paiva, Sidiney G. Alves, Lucas Lacasa +2
The study of self-propelled particles is a fast-growing research topic where biologically inspired movement is increasingly becoming of much interest. A relevant example is the col…