117 citations · 577 across the 34 of their papers we have counts for
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Scaling of distributions of sums of positions for chaotic dynamics at band-splitting points
Alvaro Diaz-Ruelas, Miguel Angel Fuentes, Alberto Robledo
The stationary distributions of sums of positions of trajectories generated by the logistic map have been found to follow a basic renormalization group (RG) structure: a nontrivial…
Incidence of -statistics in rank distributions
G. Cigdem Yalcin, Alberto Robledo, Murray Gell-Mann
We show that size-rank distributions with power-law decay (often only over a limited extent) observed in a vast number of instances in a widespread family of systems obey Tsallis s…
Emergent statistical-mechanical structure in the dynamics along the period-doubling route to chaos
Alvaro Diaz-Ruelas, Alberto Robledo
We consider both the dynamics within and towards the supercycle attractors along the period-doubling route to chaos to analyze the development of a statistical-mechanical structure…
Sums of variables at the onset of chaos
Miguel Angel Fuentes, Alberto Robledo
We explain how specific dynamical properties give rise to the limit distribution of sums of deterministic variables at the transition to chaos via the period-doubling route. We stu…