2 papers
nlin.CG2026
Exact Lyapunov spectra of affine cellular automata and the parity rule on networks
Michiel Rollier, Jan M. Baetens
The Lyapunov exponent quantifies the sensitivity of a dynamical system to perturbations, and the full Lyapunov spectrum extends this to every orthogonal direction in tangent space.…
nlin.CG2025
Essential metrics for Life on graphs
Michiel Rollier, Lucas Caldeira de Oliveira, Odemir M. Bruno +1
We present a strong theoretical foundation that frames a well-defined family of outer-totalistic network automaton models as a topological generalisation of binary outer-totalistic…