Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman
Landau meets Kaufman

Landau meets Kauffman

Statistical physics

A simple solution of the critical Kauffman model with connectivity one

Submitted (2023)

T. Fink, F. Sheldon

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)

T. Fink, F. Sheldon