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IPython Interactive Computing and Visualization Cookbook
book

IPython Interactive Computing and Visualization Cookbook

by Cyrille Rossant
September 2014
Intermediate to advanced
512 pages
12h 39m
English
Packt Publishing
Content preview from IPython Interactive Computing and Visualization Cookbook

Simulating a stochastic differential equation

Stochastic differential equations (SDEs) model dynamical systems that are subject to noise. They are widely used in physics, biology, finance, and other disciplines.

In this recipe, we simulate an Ornstein-Uhlenbeck process, which is a solution of the Langevin equation. This model describes the stochastic evolution of a particle in a fluid under the influence of friction. The particle's movement is due to collisions with the molecules of the fluid (diffusion). The difference with the Brownian motion is the presence of friction.

The Ornstein-Uhlenbeck process is stationary, Gaussian, and Markov, which makes it a good candidate to represent stationary random noise.

We will simulate this process with a ...

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Publisher Resources

ISBN: 9781783284818