We give a general method for finding the long-time asymptotic growth rate of mean occupation times of one-dimensional continuous strong Markov processes. The method uses a well-known decomposition of the resolvent, previous work of Kasahara (1975), and some new comparison results. Particular...

We study the long-term translation and dispersion of a mass distribution carried by an isotropic Brownian flow on . We use the variance of the center of mass as a measure of translation and the mean of the centered spatial second moments as a measure of dispersion. We find the exact growth rates...