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Phase transitions in Number Theory: from the Birthday Problem to Sidon Sets
Bartolo Luque, Ivan G. Torre, Lucas Lacasa
In this work, we show how number theoretical problems can be fruitfully approached with the tools of statistical physics. We focus on g-Sidon sets, which describe sequences of inte…
Horizontal Visibility graphs generated by type-II intermittency
Ángel M. Núñez, José Patricio Gómez, Lucas Lacasa
In this contribution we study the onset of chaos via type-II intermittency within the framework of Horizontal Visibility graph theory. We construct graphs associated to time series…
Horizontal Visibility graphs generated by type-I intermittency
Ángel M. Núñez, Bartolo Luque, Lucas Lacasa +2
The type-I intermittency route to (or out of) chaos is investigated within the Horizontal Visibility graph theory. For that purpose, we address the trajectories generated by unimod…