Power laws and the golden number
نویسندگان
چکیده
The distribution of many real discrete random variables (e.g., the frequency of words, the population of cities) can be approximated by a zeta distribution, that is known popularly as Zipf’s law, or power law in physics. Here we revisit the relationship between power law distribution of a magnitude and the corresponding power relationship between the magnitude of a certain element and its rank. We show that the exponents of the two power laws coincide when its value is the famous golden number, ( ) 2 / 5 1+ = φ .
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