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Do you know any phenomena that are described by a continuous mappings between a lognormal and a power law distribution?

Of course, one could give a simple linear combination of the two distributions; I am interested to mechanisms that actually arise in nature.

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If you impose a minimum boundary a Geometric Brownian Motion you get a power law distribution when solving the respective Fokker Planck equation.

You may look up Gabaix 1999 and Kesten 1973.

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