Titlebook: Stochastic Mechanics; The Unification of Q Folkert Kuipers Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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978-3-031-31447-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Stochastic Mechanics978-3-031-31448-3Series ISSN 2191-5423 Series E-ISSN 2191-5431

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Introduction,This chapter provides an introduction into the theory of stochastic mechanics. It gives a brief historical perspective, and discusses in a qualitative way the main features of stochastic mechanics and its relations to closely related frameworks.

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,Stochastic Dynamics on Pseudo-Riemannian Manifolds,This chapter extends the complex stochastic theory from Chaps. . and . to stochastic theories on Riemannian and Lorentzian manifolds. In doing so, it discusses the framework of second order geometry, which generalizes differential geometry to a stochastic context.

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