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Probability and Randomness: Quantum Versus Classical By Andrei Khrennikov
2016 | 299 Pages | ISBN: 1783267968 | PDF | 4 MB
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 ProbabilityRandomnessSupplementary Notes on Measure-theoretic and Frequency ApproachesIntroduction to Quantum FormalismQuantum and Contextual ProbabilityInterpretations of Quantum Mechanics and ProbabilityRandomness: Quantum Versus ClassicalProbabilistic Structure of Bell''s ArgumentQuantum Probability Outside of Physics: from Molecular Biology to Cognition