The Fisher-Shannon (FS) information plane, defined by the Fisher information measure (FIM) and the Shannon entropy power (Nx), was robustly used to investigate the complex dynamics of 8 long monthly rainfall time series ...

It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained ...

We study the scaling properties of Fisher's information measure (FIM) and show that from these one can straightforwardly deduce significant quantum-mechanical results. Specifically, we investigate the scaling properties ...

We explore quantum uncertainty relations involving the Fisher information functionals Ix and Ip evaluated, respectively, on a wavefunction Ψ(x) defined on a D-dimensional configuration space and the concomitant wavefunction ...

It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher information measure (FIM). We explore here an approach that will allow ...

We explore intriguing links connecting Hellmann–Feynman’s theorem to a thermodynamics information-optimizing principle based on Fisher’s information measure.

We show that using Frieden and Soffer’s extreme information principle [Phys. Rev. E 52, 2274 (1995)] with a Fisher measure constructed with escort probabilities [C. Beck and F. Schlögel, Thermodynamics of Chaotic Systems ...

The electroencephalogram (EEG) is an electrophysiological monitoring method that allows us to glimpse the electrical activity of the brain. Neural oscillations patterns are perhaps the best salient feature of EEG as they ...

We revisit the Fisher-Shannon representation plane H × F, evaluated using the Bandt and Pompe recipe to assign a probability distribution to a time series. Several stochastic dynamical (noises with f −k , k ≥ 0, power ...

The target position information contained in scattering data is explored in the context of the scalar Helmholtz operator for the basic two-point scatterer system by means of the statistical estimation framework of the ...