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cond-mat.stat-mech2010
Thermalization of random motion in weakly confining potentials
Piotr Garbaczewski, Vladimir Stephanovich
We show that in weakly confining conservative force fields, a subclass of diffusion-type (Smoluchowski) processes, admits a family of "heavy-tailed" non-Gaussian equilibrium probab…
cond-mat.stat-mech2010★ 5 cited
Heavy-tailed targets and (ab)normal asymptotics in diffusive motion
Piotr Garbaczewski, Vladimir Stephanovich, Dariusz Kȩdzierski
We investigate temporal behavior of probability density functions (pdfs) of paradigmatic jump-type and continuous processes that, under confining regimes, share common heavy-tailed…