English

Shape of Traveling Densities with Extremum Statistical Complexity

Pattern Formation and Solitons 2010-06-30 v1 Information Theory math.IT

Abstract

In this paper, we analyze the behavior of statistical complexity in several systems where two identical densities that travel in opposite direction cross each other. Besides the crossing between two Gaussian, rectangular and triangular densities studied in a previous work, we also investigate in detail the crossing between two exponential and two gamma distributions. For all these cases, the shape of the total density presenting an extreme value in complexity is found.

Keywords

Cite

@article{arxiv.1006.5677,
  title  = {Shape of Traveling Densities with Extremum Statistical Complexity},
  author = {Ricardo Lopez-Ruiz and Jaime Sanudo},
  journal= {arXiv preprint arXiv:1006.5677},
  year   = {2010}
}

Comments

11 pages, 14 figures