Kolmogorov complexity

Optimal representation in average using Kolmogorov complexity

One knows from the Algorithmic Complexity Theory [2-5, 8, 14] that a word is incompressible on average. For words of pattern $x^m$, it is natural to believe that providing $x$ and $m$ is an optimal average representation. On the contrary, for words …

Compression and genetic sequence analysis

A novel approach to genetic sequence analysis is presented. This approach, based on compression of algorithms, has been launched simultaneously by Grumbach and Tahi, Milosavljevic and Rivals. To reduce the description of an object, a compression …