Kolmogorov Last Discovery? (Kolmogorov and Algorithmic Statictics) - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Preprints, Working Papers, ... (Preprint) Year : 2023

Kolmogorov Last Discovery? (Kolmogorov and Algorithmic Statictics)

Abstract

The last theme of Kolmogorov's mathematics research was algorithmic theory of information, now often called Kolmogorov complexity theory. There are only two main publications of Kolmogorov (1965 and 1968-1969) on this topic. So Kolmogorov's ideas that did not appear as proven (and published) theorems can be reconstructed only partially based on work of his students and collaborators, short abstracts of his talks and the recollections of people who were present at these talks. In this survey we try to reconstruct the development of Kolmogorov's ideas related to algorithmic statistics (resource-bounded complexity, structure function and stochastic objects).

Dates and versions

lirmm-04049120 , version 1 (28-03-2023)

Identifiers

Cite

Alexey Semenov, Alexander Shen, Nikolay Vereshchagin. Kolmogorov Last Discovery? (Kolmogorov and Algorithmic Statictics). 2023. ⟨lirmm-04049120⟩
20 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More