Simon's model yields alpha to infinity not one; a decaying innovation rate rho_t proportional to one over ln N produces power-law size rankings S proportional to r to the minus alpha for any alpha greater than or equal to zero.
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Simon's model does not produce Zipf's law: The fundamental rich-get-richer mechanism for any power-law size ranking
Simon's model yields alpha to infinity not one; a decaying innovation rate rho_t proportional to one over ln N produces power-law size rankings S proportional to r to the minus alpha for any alpha greater than or equal to zero.