User:Carl Boettiger/Notebook/Stochastic Population Dynamics/2010/04/11
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[math]\displaystyle{ x_{t+1} = x_t \left(1- \frac{\kappa}{\gamma} \Delta t \right) + \Delta t \sqrt{\frac{2 K_B T}{\gamma} } \xi_t }[/math] Whose correlation function is given by [math]\displaystyle{ \frac{K_BT}{\gamma} e^{-\kappa t / \gamma} }[/math] |