117 citations · 577 across the 34 of their papers we have counts for
18 papers · 1 filter
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…
Manifestations of the onset of chaos in condensed matter and complex systems
Carlos Velarde, Alberto Robledo
We review the occurrence of the patterns of the onset of chaos in low-dimensional nonlinear dissipative systems in leading topics of condensed matter physics and complex systems of…
Rank Distributions: Frequency vs. Magnitude
Carlos Velarde, Alberto Robledo
We examine the relationship between two different types of ranked data, frequencies and magnitudes. We consider data that can be sorted out either way, through numbers of occurrenc…
Dual characterization of critical fluctuations: Density functional theory & nonlinear dynamics close to a tangent bifurcation
M. Riquelme-Galvan, A. Robledo
We improve on the description of the relationship that exists between critical clusters in thermal systems and intermittency near the onset of chaos in low-dimensional systems. We…
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…
Renewal stochastic processes with correlated events. Phase transitions along time evolution
Jorge Velázquez, Alberto Robledo
We consider renewal stochastic processes generated by non-independent events from the perspective that their basic distribution and associated generating functions obey the statist…