10 citations · 33 across the 7 of their papers we have counts for
7 papers
A combinatorial view of stochastic processes: White noise
Alvaro Diaz-Ruelas
White noise is a fundamental and fairly well understood stochastic process that conforms the conceptual basis for many other processes, as well as for the modeling of time series.…
Logistic map trajectory distributions: Renormalization-group, entropy and criticality at the transition to chaos
Alvaro Diaz-Ruelas, Fulvio Baldovin, Alberto Robledo
We study the evolution of the probability density of ensembles of iterates of the logistic map that advance towards and finally remain at attractors of representative dynamical reg…
Relating high dimensional stochastic complex systems to low-dimensional intermittency
Alvaro Diaz-Ruelas, Henrik Jeldtoft Jensen, Duccio Piovani +1
We evaluate the implication and outlook of an unanticipated simplification in the macroscopic behavior of two high-dimensional sto-chastic models: the Replicator Model with Mutatio…
Sums of variables at the onset of chaos, replenished
Alvaro Diaz-Ruelas, Alberto Robledo
As a counterpart to our previous study of the stationary distribution formed by sums of positions at the Feigenbaum point via the period-doubling cascade in the logistic map (Eur.…
Tangent map intermittency as an approximate analysis of intermittency in a high dimensional fully stochastic dynamical system: The Tangled Nature model
Alvaro Diaz-Ruelas, Henrik Jeldtoft Jensen, Duccio Piovani +1
It is well known that low-dimensional nonlinear deterministic maps close to a tangent bifurcation exhibit intermittency and this circumstance has been exploited, e.g. by Procaccia…
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…
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…