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Superdiffusive limits for stochastic kinetics driven by self-similar drifts

Brešar, Miha et al.
arXiv (All) · Papers
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probability
We prove anomalous-diffusion scaling for a one-dimensional stochastic kinetic dynamics, in which the stochastic drift is driven by an exogenous self-similar noise, and also includes endogenous volatility which is permitted to have arbitrary dependence with the exogenous noise. We identify the superd
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