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Bio Systems | Vol.74, Issue.1-3 | | Pages 63-71

Bio Systems

Emergence of power laws from partitional dynamics.

Antonio, García-Olivares Pedro C, Marijuán  
Abstract

This work explores the possibility of producing some specific power laws (with exponential cut-off) out from a partitional dynamics. The data obtained from the partitions of integers in the interval 1-60 have been used to find the coefficients of a power law and its exponential cut-off, and also of a single hyperbolic form after renormalization. There is also the speculation that this type of power law, so easily derived from arithmetic minimalist operations, may underlie the communication exchanges of living cells and the structural games of self-constructing agents endowed with relative structural freedom.

Original Text (This is the original text for your reference.)

Emergence of power laws from partitional dynamics.

This work explores the possibility of producing some specific power laws (with exponential cut-off) out from a partitional dynamics. The data obtained from the partitions of integers in the interval 1-60 have been used to find the coefficients of a power law and its exponential cut-off, and also of a single hyperbolic form after renormalization. There is also the speculation that this type of power law, so easily derived from arithmetic minimalist operations, may underlie the communication exchanges of living cells and the structural games of self-constructing agents endowed with relative structural freedom.

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Antonio, García-Olivares Pedro C, Marijuán,.Emergence of power laws from partitional dynamics.. 74 (1-3),63-71.

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