Non-equilibrium critical phenomena and phase transitions into absorbing states

H Hinrichsen - Advances in physics, 2000 - Taylor & Francis
This review addresses recent developments in non-equilibrium statistical physics. Focusing
on phase transitions from fluctuating phases into absorbing states, the universality class of …

Lyapunov exponents in random Boolean networks

B Luque, RV Solé - Physica A: Statistical Mechanics and its Applications, 2000 - Elsevier
A new order parameter approximation to random boolean networks (RBN) is introduced,
based on the concept of Boolean derivative. A statistical argument involving an annealed …

A comprehensive taxonomy of cellular automata

M Rollier, KMC Zielinski, AJ Daly, OM Bruno… - … in Nonlinear Science …, 2024 - Elsevier
Cellular automata (CAs) are fully-discrete dynamical models that have received much
attention due to the fact that their relatively simple setup can nonetheless express highly …

Percolation and internet science

F Bagnoli, E Bellini, E Massaro, R Rechtman - Future Internet, 2019 - mdpi.com
Percolation, in its most general interpretation, refers to the “flow” of something (a physical
agent, data or information) in a network, possibly accompanied by some nonlinear …

Nature of phase transitions in a probabilistic cellular automaton with two absorbing states

F Bagnoli, N Boccara, R Rechtman - Physical Review E, 2001 - APS
We present a probabilistic cellular automaton with two absorbing states, which can be
considered a natural extension of the Domany-Kinzel model. Despite its simplicity, it shows …

Damage spreading and the Lyapunov spectrum of cellular automata and Boolean networks

M Vispoel, AJ Daly, JM Baetens - Chaos, Solitons & Fractals, 2024 - Elsevier
The study of damage spreading in cellular automata (CA) is essential for understanding
chaos and phase transitions in CA and complex systems in general. It helps us make sense …

Metastable states in spin glasses and disordered ferromagnets

CM Newman, DL Stein - Physical Review E, 1999 - APS
We study analytically M-spin-flip stable states in disordered short-ranged Ising models (spin
glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily …

Equilibrium pure states and nonequilibrium chaos

CM Newman, DL Stein - Journal of statistical physics, 1999 - Springer
We consider nonequilibrium systems such as the Edwards–Anderson Ising spin glass at a
temperature where, in equilibrium, there are presumed to be (two or many) broken-symmetry …

A self-organized method for computing the epidemic threshold in computer networks

F Bagnoli, E Bellini, E Massaro - International conference on internet …, 2018 - Springer
In many cases, tainted information in a computer network can spread in a way similar to an
epidemics in the human world. On the other had, information processing paths are often …

Algorithmic map** from criticality to self-organized criticality

F Bagnoli, P Palmerini, R Rechtman - Physical Review E, 1997 - APS
Probabilistic cellular automata are prototypes of nonequilibrium critical phenomena. This
class of models includes among others the directed percolation problem (Domany-Kinzel …