Information functionals and the notion of (un)certainty: RMT - inspired case
Quantum Physics
2007-11-22 v1 Statistical Mechanics
Mathematical Physics
math.MP
Chaotic Dynamics
Data Analysis, Statistics and Probability
Abstract
Information functionals allow to quantify the degree of randomness of a given probability distribution, either absolutely (through min/max entropy principles) or relative to a prescribed reference one. Our primary aim is to analyze the "minimum information" assumption, which is a classic concept (R. Balian, 1968) in the random matrix theory. We put special emphasis on generic level (eigenvalue) spacing distributions and the degree of their randomness, or alternatively - information/organization deficit.
Cite
@article{arxiv.0706.2481,
title = {Information functionals and the notion of (un)certainty: RMT - inspired case},
author = {Piotr Garbaczewski},
journal= {arXiv preprint arXiv:0706.2481},
year = {2007}
}