PROBABILITY AND RANDOMNESS:QUANTUM VERSUS CLASSICAL

图书简介

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.

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Harvard Library

Classical Probability: Kolmogorov Axiomatics of Probability Theory; Frequency (Von Mises) Theory of Probability; Subjective Probability; Classical Randmness: Approach of Richard von Mises: Randomness as Unpredictability; Approach of Per Martin Löf: Randomness as Typicality; Approach of Andrei Nikolaevich Kolmogorov: Randomness as Complexity; Quantum Probability and Randomness: Born’s Rule and Quantum Probability; Quantum Conditional Probabilities and Probability Update; QBism; Theory of Quantum Instruments; Bell’s Inequality; Analogy Between Euclidean and Non-Euclidean and Kolmogorov and Non-Kolmogorov Models; Embedding of CHSH-Probabilities into the Kolmogorov Model; Interference and Violation of the Law of Total Probability; Embedding of Interfering-Probabilities into the Kolmogorov Model; Irreducible Quantum Randomness; Quantum Probability Outside of Physics: Review on Applications to Cognition and Psychology; Quantum Probabilistic Update and Decision Making; Quantum Instruments and Decision Making; Reproducibility of Decision Problem;

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PROBABILITY AND RANDOMNESS:QUANTUM VERSUS CLASSICAL 概率和随机性：量子论VS经典理论 概率论

PROBABILITY AND RANDOMNESS:QUANTUM VERSUS CLASSICAL

概率和随机性：量子论VS经典理论
概率论