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Statistical physics
A simple solution of the critical Kauffman model with connectivity one
Submitted (2023)
A Kauffman network is a model of genetic computation that highlights the role of criticality at the border of order and chaos. But our limited theoretical understanding of it relies on convoluted arguments. We give a simple proof that the number of attractors for the critical model with connectivity one grows faster than previously believed. Our approach exploits a link between the critical dynamics and number theory.
Submitted (2023)