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The first digit frequencies of primes and Riemann zeta zeros tend to uniformity following a size-dependent generalized Benford's law
Bartolo Luque, Lucas Lacasa
Prime numbers seem to distribute among the natural numbers with no other law than that of chance, however its global distribution presents a quite remarkable smoothness. Such inter…
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…
Number theoretic example of scale-free topology inducing self-organized criticality
Bartolo Luque, Octavio Miramontes, Lucas Lacasa
In this work we present a general mechanism by which simple dynamics running on networks become self-organized critical for scale free topologies. We illustrate this mechanism with…