# Characterizing short-term stability for Boolean networks over any distribution of transfer functions

@article{Seshadhri2016CharacterizingSS, title={Characterizing short-term stability for Boolean networks over any distribution of transfer functions}, author={C. Seshadhri and Andrew M. Smith and Yevgeniy Vorobeychik and Jackson Mayo and Robert C. Armstrong}, journal={Physical review. E}, year={2016}, volume={94 1-1}, pages={ 012301 } }

We present a characterization of short-term stability of Kauffman's NK (random) Boolean networks under arbitrary distributions of transfer functions. Given such a Boolean network where each transfer function is drawn from the same distribution, we present a formula that determines whether short-term chaos (damage spreading) will happen. Our main technical tool which enables the formal proof of this formula is the Fourier analysis of Boolean functions, which describes such functions as…

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