**Around Kolmogorov Complexity: Basic Notions and Results**

by Alexander Shen

**Publisher**: arXiv.org 2015**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.

Download or read it online for free here:

**Download link**

(300KB, PDF)

## Similar books

**Information Theory, Inference, and Learning Algorithms**

by

**David J. C. MacKay**-

**Cambridge University Press**

A textbook on information theory, Bayesian inference and learning algorithms, useful for undergraduates and postgraduates students, and as a reference for researchers. Essential reading for students of electrical engineering and computer science.

(

**24756**views)

**Information Theory and Coding**

by

**John Daugman**-

**University of Cambridge**

The aims of this course are to introduce the principles and applications of information theory. The course will study how information is measured in terms of probability and entropy, and the relationships among conditional and joint entropies; etc.

(

**19634**views)

**Theory of Quantum Information**

by

**John Watrous**-

**University of Calgary**

The focus is on the mathematical theory of quantum information. We will begin with basic principles and methods for reasoning about quantum information, and then move on to a discussion of various results concerning quantum information.

(

**9042**views)

**From Classical to Quantum Shannon Theory**

by

**Mark M. Wilde**-

**arXiv**

The aim of this book is to develop 'from the ground up' many of the major developments in quantum Shannon theory. We study quantum mechanics for quantum information theory, we give important unit protocols of teleportation, super-dense coding, etc.

(

**8006**views)