Abstract
Historically, the mathematical roots of Brownian motion lie in the central limit theorem (CLT).
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We have generally adapted a convention in which D is referred to as the diffusion coefficient, however this may not be universally held.
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For a complete dynamical description see Nelson, E. (1967).
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Bhattacharya, R., Waymire, E.C. (2016). A Historical Note on Brownian Motion. In: A Basic Course in Probability Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-47974-3_12
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