ergodicity


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ergodicity

(ˌɜːɡəˈdɪsɪtɪ)
n
(Mathematics) maths the state of being ergodic
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Noun1.ergodicity - an attribute of stochastic systems; generally, a system that tends in probability to a limiting form that is independent of the initial conditions
haphazardness, stochasticity, randomness, noise - the quality of lacking any predictable order or plan
Translations
References in periodicals archive ?
Because of the strong ergodicity and randomness of chaotic system, the antibody population can randomly distribute in solution space and the CCIA can get the optimal value exactly.
1991, "The Ergodicity Assumption for Sea States in the Reliability Estiamtion of Offshore Structures," Journal of Offshore Mechanics and Arctic Engineering, 113, 241-246.
rms] which in the case of stationary and ergodicity process load can be calculated as the square root of the average error of regulation in time [[bar.
gt; donates the ensemble average but computed using time average (based on the ergodicity assumption), V is the volume, [k.
Day, Means for the bounded functions and ergodicity of the bounded representations of semigroups, Trans.
Sarnak, Quantum ergodicity of eigenfunctions on [PSL.
He is currently a postdoctoral fellow at Harvard and his research has shifted to the more theoretical study of quantum ergodicity, which has been described as "the study of the long term average behaviour of systems evolving in time".
In this case, a statistical description is relevant for sufficiently smooth initial distributions, and the particular features of the force provide the ergodicity and exponential local divergence of the trajectories.
Geometric ergodicity of Gibbs and block Gibbs samplers for a hierarchical random effects model.
The main research subjects include the existence and uniqueness of positive solution with any positive initial value in probability mean, the persistence and extinction of the disease in probability mean, the asymptotical behaviors around the disease-free equilibrium and the endemic equilibrium of the deterministic models, and the existence of the stationary distribution as well as ergodicity.
We can see that system (10) shows the chaotic ergodicity characteristic in the process of evolution.