Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems

DOI10.1016/0960-0779(91)90053-CzbMath0729.60076MaRDI QIDQ806180

Gregoire Nicolis, Enrique Tirapegui, Servet Martínez

Publication date: 1991

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

Markov processescoarse-grainingChapman-Kolmogorov equationautomorphisms of the two-dimensional torus

Mathematics Subject Classification ID

Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (10)

Spectral signatures of hierarchical relaxation ⋮ Entropy, extropy and information potential in stochastic systems far from equilibrium ⋮ A stretched exponential bound on time correlations for billiard flows ⋮ Limit theorems and Markov approximations for chaotic dynamical systems ⋮ DYNAMICAL ASPECTS OF INTERACTION NETWORKS ⋮ Recurrence time statistics in chaotic dynamics. I: Discrete time maps. ⋮ Numerical path integral calculation of the probability function and exit time: an application to non-gradient drift forces ⋮ Dynamical distance: coarse grains, pattern recognition, and network analysis ⋮ Sensitive response to time dependent perturbations and spectral properties of deterministic chaos ⋮ Probabilistic and thermodynamic aspects of dynamical systems

Cites Work

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• Non-equilibrium entropy on stationary Markov processes
• On isomorphism of weak Bernoulli transformations
• Master-equation approach to deterministic chaos
• Similarity of automorphisms of the torus

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