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Stochastic mechanics is a description of quantum phenomena in classical probabilistic terms. This work contains an account of the kinematics of diffusion processes, including diffusions on curved manifolds that are necessary for the treatment of spin in stochastic mechanics.
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Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic... Læs mere
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This book develops arithmetic without the induction principle, working in theories that are interpretable in Raphael Robinson's theory Q. Certain inductive formulas, the... Læs mere
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These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in... Læs mere
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Kinematical problems of both classical and quantum mechanics are considered in these lecture notes ranging from differential calculus to the application of one of Chernoff's... Læs mere
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These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of... Læs mere