Abstract
The conceptual framework of classical mechanics will be briefly recalled in Section 1.1. Our intention is to fix notation, and to clarify that the notion velocity (or momentum) plays a crucial role in classical mechanics and that, exactly because of this fact, we must leave the classical framework, when we discuss the movement of particles with (Brownian) noise, because the classical notion “velocity” no longer exists for such movement of particles.
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References
For a proof cf. e.g. Bauer (1991), Ikeda-Watanabe (1981/89).
Cf., e.g. Friedman (1964), Dynkin (1965).
Cf. McKean (1969).
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© 2000 Springer Basel AG
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Nagasawa, M. (2000). Markov Processes. In: Stochastic Processes in Quantum Physics. Monographs in Mathematics, vol 94. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8383-2_1
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DOI: https://doi.org/10.1007/978-3-0348-8383-2_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9543-9
Online ISBN: 978-3-0348-8383-2
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