Ergodic Properties of Fractional Brownian-Langevin Motion

Weihua Deng, Eli Barkai

We investigate the time average mean square displacement $\overline{{\delta }^2}(x(t))={\int }_0^{t-\Delta }[x(t^{\prime }+\Delta )-x(t^{\prime }){]}^{2}d{t}^{\prime }/(t-\Delta )$ for fractional Brownian and Langevin motio…