kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked
kaufman cracked

Kauffman cracked

Statistical physics

Number of attractors in the critical Kauffman model is exponential

In a remarkable series of advances, researchers have honed in on how the number of attractors in a critical Kauffman model grows with network size NN. But a definitive answer has proved elusive. We show that, for the model with connectivity one, the number of attractors grows at least, and at most, as (2/(2/e)Ne)^N. This is the first proof that the number of attractors in a critical Kauffman model grows exponentially.