Structural Information in Two-Dimensional Patterns: Entropy Convergence and Excess Entropy

Details Structural Information in Two-Dimensional Patterns: Entropy Convergence and Excess Entropy Structural Information in Two-Dimensional Patterns: Entropy Convergence and Excess Entropy

2002-12-04

arxiv.org/abs/cond-mat/0212078v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 5 figures, http://www.santafe.edu/projects/CompMech/papers/2dnnn.html

Scientific paper

10.1103/PhysRevE.67.051104

We develop information-theoretic measures of spatial structure and pattern in more than one dimension. As is well known, the entropy density of a two-dimensional configuration can be efficiently and accurately estimated via a converging sequence of conditional entropies. We show that the manner in which these conditional entropies converge to their asymptotic value serves as a measure of global correlation and structure for spatial systems in any dimension. We compare and contrast entropy-convergence with mutual-information and structure-factor techniques for quantifying and detecting spatial structure.

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