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math.PR2018
Self-stabilizing processes based on random signs
K. J. Falconer, J. Lévy Véhel
A self-stabilizing processes is a random process which when localized, that is scaled to a fine limit near a given , has the distribution…
math.PR2018
Self-stabilizing processes
K. J. Falconer, J. Lévy Véhel
We construct `self-stabilizing' processes {Z(t), t }. These are random processes which when `localized', that is scaled around t to a fine limit, have the distributi…
math.PR2008★ 30 cited
Multifractional, multistable, and other processes with prescribed local form
K. J. Falconer, J. Levy Vehel
We present a general method for constructing stochastic processes with prescribed local form. Such processes include variable amplitude multifractional Brownian motion, multifracti…