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Brownian Motion

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Book cover Stochastic Calculus

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Abstract

Brownian motion is a particular stochastic process which is the prototype of the class of processes which will be our main concern. Its investigation is the object of this chapter.

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References

  • Fishman, G. S. (1996). Monte Carlo. Springer Series in Operations Research. Springer-Verlag, New York. Concepts, algorithms, and applications.

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  • Glasserman, P. (2004). Monte Carlo methods in financial engineering, volume 53 of Applications of Mathematics (New York). Springer-Verlag, New York. Stochastic Modelling and Applied Probability.

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  • Kloeden, P. E. and Platen, E. (1992). Numerical solution of stochastic differential equations, volume 23 of Applications of Mathematics (New York). Springer-Verlag, Berlin.

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Baldi, P. (2017). Brownian Motion. In: Stochastic Calculus. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-62226-2_3

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