{"product_id":"computability-and-randomness-paperback","title":"Computability and Randomness - Paperback","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eAndre Nies\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eThe 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.\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003ePhD, Mathematics, Univ. of Heidelberg, Germany, 1992\u003cbr\u003eUniv of Wisconsin, Madison 1994\u003cbr\u003eCornell University 1995\u003cbr\u003eUniv of Chicago 1995-2001\u003cbr\u003eHabilitation, Univ. of Heidelberg, 1998\u003cbr\u003eUniv of Auckland 2002-present.\u003cbr\u003e60 journal and conference publications.\u003cbr\u003eInvited Speaker, International Congress of Mathematicians, Hyderabad 2010\u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 452\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1 x 9.1 x 6.1 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 16, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":47337259434233,"sku":"9780199652600","price":128.25,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/2782\/3097\/files\/dYGIAFPcyC9780199652600.webp?v=1769678608","url":"https:\/\/bookscloud.io\/products\/computability-and-randomness-paperback","provider":"BooksCloud Book Dropshipping","version":"1.0","type":"link"}