Kolmogorov Complexity in perspective. Part I: Information Theory and Randomnes

We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: randomness and classification. The survey is divided in two parts in the same volume. Part I is dedicated to information theory and the mathematical formalization of randomness based on Kolmogorov complexity. This last application goes back to the 60's and 70's with the work of Martin-L

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: Marie Ferbus-Zanda, Serge Grigorieff
• Keywords: CORR 2010, Education, Kolmogorov Complexity, Randomness, Shannon Entropy