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Emergence of Power Laws with Different Powerlaw Exponents from Reversal Quasisymmetry and Gibrat’s Law

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Fig. 2. Distributions of sales Y from 2000 to 2009 in Japan. The average number of firms in the database in each year is 399, 982.
Fig. 3. A scatter plot between plant assets (P/A) K and sales Y of firms in 2008 in Japan
Fig. 6. Three kinds of space-reversal quasi-symmetry in (log K, log Y ), (log Y, log L) and (log K, log L) planes were recognized as maps from symmetry in 3-dimensional space (log K, log L, log Y ).
Fig. 9. Conditional PDFs q(r 1 |Z 1 ) of the logarithmic rate

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