The physics of randomness and regularities for languages (lifetimes, family trees, and the second languages); in terms of random matrices

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The physics of randomness and regularities for languages (mother tongues) and their lifetimes and family trees and for the second languages are studied in terms of two opposite processes; random multiplicative noise [1], and fragmentation [2], where the original model is given in the matrix format. We start with a random initial world, and come out with the regularities, which mimic various empirical data [3] for the present languages.
7 pages, 4 figures

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