The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic tools can also be used to introduce mathematical counterparts for the intuitive notion of randomness of a set. Recent research shows that, conversely, concepts and methods originating from randomness enrich computability theory. The book covers topics such as lowness and highness properties, Kolmogorov complexity, betting strategies and higher computability. Both the basics and recent research results are desribed, providing a very readable introduction to the exciting interface of computability and randomness for graduates and researchers in computability theory, theoretical computer science, and measure theory.

Read more

Collapse

PhD, Mathematics, Univ. of Heidelberg, Germany, 1992 Univ of Wisconsin, Madison 1994 Cornell University 1995 Univ of Chicago 1995-2001 Habilitation, Univ. of Heidelberg, 1998 Univ of Auckland 2002-present. 60 journal and conference publications. Invited Speaker, International Congress of Mathematicians, Hyderabad 2010

Read more

Collapse

Publisher

OUP Oxford

Read more

Collapse

Published on

Mar 29, 2012

Read more

Collapse

Pages

456

Read more

Collapse

ISBN

9780191627880

Read more

Collapse

Language

English

Read more

Collapse

Genres

Computers / Systems Architecture / General

Mathematics / Discrete Mathematics

Mathematics / History & Philosophy

Mathematics / Logic

Philosophy / Logic

Read more

Collapse

Content Protection

This content is DRM protected.

Read more

Collapse

Read Aloud

Available on Android devices

Read more

Collapse

Eligible for Family Library

Report

Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.

You can read books purchased on Google Play using your computer's web browser.

To read on e-ink devices like the Sony eReader or Barnes & Noble Nook, you'll need to download a file and transfer it to your device. Please follow the detailed Help center instructions to transfer the files to supported eReaders.

©2019 GoogleSite Terms of ServicePrivacyDevelopersArtistsAbout Google|Location: United StatesLanguage: English (United States)

By purchasing this item, you are transacting with Google Payments and agreeing to the Google Payments Terms of Service and Privacy Notice.