Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
LCP
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops
Multiplicative loops

Multiplicative loops

Statistical physics

Exact behavior of the critical Kauffman model with connectivity one

In press Physical Review Research (2024)

T. Fink

The single-input Kauffman network is the simplest class of Boolean networks. But it exhibits intricate behaviour at the edge of order and chaos that is poorly understood. We show that the behaviour of the Kauffman network can be expressed as a product of the behaviours of its disconnected loops, revealing an underlying algebraic structure. Using this, we prove the number of attractors is 2m2^m, where mm is the number of loop nodes.

In press Physical Review Research (2024)

T. Fink