Article ID Journal Published Year Pages File Type
438337 Theoretical Computer Science 2007 13 Pages PDF
Abstract

We present a brief survey of results on relations between the Kolmogorov complexity of infinite strings and several measures of information content (dimensions) known from dimension theory, information theory or fractal geometry.Special emphasis is placed on bounds on the complexity of strings in constructively given subsets of the Cantor space. Finally, we compare the Kolmogorov complexity to the subword complexity of infinite strings.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics