Logo

Around Kolmogorov Complexity: Basic Notions and Results

Small book cover: Around Kolmogorov Complexity: Basic Notions and Results

Around Kolmogorov Complexity: Basic Notions and Results
by

Publisher: arXiv.org
Number of pages: 51

Description:
Algorithmic information theory studies description complexity and randomness and is now a well known field of theoretical computer science and mathematical logic. This report covers the basic notions of algorithmic information theory: Kolmogorov complexity (plain, conditional, prefix), Solomonoff universal a priori probability, notions of randomness, effective Hausdorff dimension.

Home page url

Download or read it online for free here:
Download link
(300KB, PDF)

Similar books

Book cover: A Mathematical Theory of CommunicationA Mathematical Theory of Communication
by
Shannon presents results previously found nowhere else, and today many professors refer to it as the best exposition on the subject of the mathematical limits on communication. It laid the modern foundations for what is now coined Information Theory.
(61404 views)
Book cover: Conditional Rate Distortion TheoryConditional Rate Distortion Theory
by - Information Systems Laboratory
The conditional rate-distortion function has proved useful in source coding problems involving the possession of side information. This book represents an early work on conditional rate distortion functions and related theory.
(9387 views)
Book cover: Logic and InformationLogic and Information
by - ESSLLI
An introductory, comparative account of three mathematical approaches to information: the classical quantitative theory of Claude Shannon, a qualitative theory developed by Fred Dretske, and a qualitative theory introduced by Barwise and Perry.
(12621 views)
Book cover: Quantum Information TheoryQuantum Information Theory
by - ETH Zurich
Processing of information is necessarily a physical process. It is not surprising that physics and the theory of information are inherently connected. Quantum information theory is a research area whose goal is to explore this connection.
(12476 views)