A particle in a heterogeneous Brownian bath converges, as the bath grows, to fractional Brownian motion and related Gaussian processes with random diffusion coefficient and random Hurst exponent.
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Limit Theorems for the Dynamical Foundation of the Fractional Brownian Motion and Related Models of Anomalous Diffusion with Random Diffusion Coefficient and Time-Dependent Random Hurst parameter
A particle in a heterogeneous Brownian bath converges, as the bath grows, to fractional Brownian motion and related Gaussian processes with random diffusion coefficient and random Hurst exponent.