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Downey / Hirschfeldt

Algorithmic Randomness and Complexity

Medium: Buch
ISBN: 978-1-4939-3820-9
Verlag: Humana
Erscheinungstermin: 23.08.2016
Lieferfrist: bis zu 10 Tage

Computability and complexity theory are two central areas of research in theoretical computer science. Until recently, most work in these areas concentrated on problems over discrete structures, but there has been enormous growth of computability theory and complexity theory over the real numbers and other continuous structures, especially incorporating concepts of "randomness." This book provides a systematic, technical development of "algorithmic randomness" and complexity. It presents concepts and results for understanding relative randomness and its relation to computational complexity. These new results are important for addressing fundamental problems in computational geometry, modeling of dynamic systems, and classical problems in numerical computations.


Produkteigenschaften


  • Artikelnummer: 9781493938209
  • Medium: Buch
  • ISBN: 978-1-4939-3820-9
  • Verlag: Humana
  • Erscheinungstermin: 23.08.2016
  • Sprache(n): Englisch
  • Auflage: Softcover Nachdruck of the original 1. Auflage 2010
  • Serie: Theory and Applications of Computability
  • Produktform: Kartoniert, Paperback
  • Gewicht: 1311 g
  • Seiten: 855
  • Format (B x H x T): 155 x 235 x 48 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

Preface.- Acknowledgments.- Introduction.- I. Background.- Preliminaries.- Computability Theory.- Kolmogorov Complexity of Finite Strings.- Relating Plain and Prefix-Free Complexity.- Effective Reals.- II. Randomness of Sets.- Martin-Löf Randomness.- Other Notions of Effective Randomness.- Algorithmic Randomness and Turing Reducibility.- III. Relative Randomness.- Measures of Relative Randomness.- The Quantity of K- and Other Degrees.- Randomness-Theoretic Weakness.- Lowness for Other Randomness Notions.- Effective Hausdorff Dimension.- IV. Further Topics.- Omega as an Operator.- Complexity of C.E. Sets.- References.- Index.