Probability and Randomness

Quantum versus Classical

Nonfiction, Science & Nature, Mathematics, Probability, Statistics
Cover of the book Probability and Randomness by Andrei Khrennikov, World Scientific Publishing Company
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Author: Andrei Khrennikov ISBN: 9781783267989
Publisher: World Scientific Publishing Company Publication: March 3, 2016
Imprint: ICP Language: English
Author: Andrei Khrennikov
ISBN: 9781783267989
Publisher: World Scientific Publishing Company
Publication: March 3, 2016
Imprint: ICP
Language: English

Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level.

Contents:

  • Foundations of Probability
  • Randomness
  • Supplementary Notes on Measure-theoretic and Frequency Approaches
  • Introduction to Quantum Formalism
  • Quantum and Contextual Probability
  • Interpretations of Quantum Mechanics and Probability
  • Randomness: Quantum Versus Classical
  • Probabilistic Structure of Bell's Argument
  • Quantum Probability Outside of Physics: from Molecular Biology to Cognition

Readership: Researchers in mathematical physics, probability and statistics.

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Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level.

Contents:

Readership: Researchers in mathematical physics, probability and statistics.

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