Cellular Automata and Cooperative Systems

546 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Complexity of Infinite Sequences and the Ising Transducer.- Renormalization Group Analysis of Directed Models.- Maximal Lyapunov Exponent for 1D Boolean Cellular Automata.- Automata Network Epidemic Models.- Structure Evolution of Neural Networks.- Lower Bounds on the Memory Capacity of the Dilute Hopfield Model.- Schrödinger Operators with Substitution Potentials.- An Interplay Between Local and Global Dynamics in Biological Networks: the Case of Genetic Sequences.- How to Fire almost any Arbitrary Pattern on a Cellular Automaton.- Dynamics of Random Neural Nets.- A Matrix Method of Solving an Asymmetric Exclusion Model with Open Boundaries.- A Formula of full Semiinvariants.- Non-Gibbsian States for Renormalization-Group Transformations and Beyond.- Fluctuations in the Asymmetric Simple Exclusion Process.- Analysis of a Network Model.- Drift and Diffusion in Phase Space. An Application to Celestial Mechanics.- Real Computation with Cellular Automata.- Lyapunov Functionals Associated to Automata.- Sand-Pile Dynamics in a One-Dimensional Bounded Lattice.- Differential Inequalities for Potts and Random-Cluster Processes.- Cryptography with Dynamical Systems.- On Entropic Repulsion in Low Temperature Ising Models.- The Distribution of Lyapunov Exponents for Large Random Matrices.- Transience and Dislocations in One-Dimensional Cellular Automata.- Properties of Limit Sets of Cellular Automata.- Stochastic Equations on Random Trees.- The Branching Diffusion, Stochastic Equations and Travelling Wave Solutions to the Equation of Kolmogorov - Petrovskii - Piskunov.- Spin Models with Random Interactions: Some Rigorous Results.- Low Temperature Phase Transitions on Quasiperiodic Lattices.- Stability of Interfaces in Stochastic Media.- Hydrodynamic Equation for Mean ZeroAsymmetric Zero Range Processes.- Clustering and Coexistence in Threshold Voter Models.- Analytical Results for the Maximal Lyapunov Exponent.- Some Remarks on Almost Gibbs States.- Some Coded Systems that are Not Unstable Limit Sets of Cellular Automata.- Constructive Criteria for the Ergodicity of Interacting Particle Systems.- Self-Similar Fractals Can be Generated by Cellular Automata.- Finite Volume Mixing Conditions for Lattice Spin Systems and Exponential Approach to Equilibrium of Glauber Dynamics.- Quasi-Stationary Distributions for Birth-Death Chains. Convergence Radii and Yaglom Limit.- Cooperative Phenomena in Swarms.- Comparison of Semi-Oriented Bootstrap Percolation Models with Modified Bootstrap Percolation.- Chaotic Size Dependence in Spin Glasses.- On the Gibbs States for One-Dimensional Lattice Boson Systems with a Long-Range Interaction.- Hydrodynamic Limits and Ergodicity for Hamiltonian System with Small Noise.- Relaxation Times for Stochastic Ising Models in the Limit of Vanishing External Field at Fixed Low Temperatures.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Grundlagen Logik
• ISBN: 9789401047401
• Sprache: Englisch
• Erscheinungsdatum: 29.10.2012
• Größe: 240 x 160 mm
• Verlag: Springer
• Herausgegeben von: Pierre Picco, Servet Martínez, N. Boccara, E. Goles