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math.PR2021
Functional Equations for the Stochastic Exponential
Beso Chikvinidze, Michael Mania, Revaz Tevzadze
We consider stochastic versions of the Cauchy exponential functional equation and give a martingale characterization of the general solution.
math.PR2021
Martingale Transformations of Brownian Motion with Application to Functional Equations
M. Mania, R. Tevzadze
We describe the classes of functions , for which processes and are martingales. We apply these results to give a martingale char…