A theoretical approach for Pareto-Zipf law
Caglar Tuncay
TL;DR
This paper introduces a theoretical framework explaining the Pareto-Zipf law by modeling city growth and fragmentation processes with random multiplicative noise, providing a new analytical perspective.
Contribution
It presents a novel analytical approach to derive the Pareto-Zipf law using assumptions of multiplicative noise and fragmentation processes.
Findings
Derivation of Pareto-Zipf distribution from the proposed model
Analytical insights into city growth dynamics
Connection between fragmentation processes and city size distribution
Abstract
We suggest an analytical approach for Pareto-Zipf law, where we assume random multiplicative noise and fragmentation processes for the growth of the number of citizens of each city and the number of the cities, respectively.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Opinion Dynamics and Social Influence · Random Matrices and Applications