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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 $…
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…
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…
Phase transition in the Countdown problem
Lucas Lacasa, Bartolo Luque
Here we present a combinatorial decision problem, inspired by the celebrated quiz show called the countdown, that involves the computation of a given target number T from a set of…
Critical behavior of a Ginzburg-Landau model with additive quenched noise
Niko Komin, Lucas Lacasa, Raul Toral
We address a mean-field zero-temperature Ginzburg-Landau, or ϕ^4, model subjected to quenched additive noise, which has been used recently as a framework for analyzing collective e…