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
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References in periodicals archive ?
One interesting way to design pseudo-random generators can be found in chaos theory [8,9,10], Indeed, chaotic systems are characterized by their high sensitivity to initial parameters and some properties like ergodicity, mixing property and high complexity [8, 11].
Using ergodicity hypothesis, as the space-time compensatory phenomenon making it possible to conduct similar assessments in space by the estimates in time and vice versa, the dependence of the humus horizon extreme power from energy costs on soil formation allows us calculate the development extreme values that a soil of particular granulometric composition may attain provided the keeping of continuing climatic conditions of the modern era (instrumental period), taking into account the long-term climate scenarios, either by past time intervals (if the results of climate reconstructions are available).
It is assumed that all random parameters are statistically stationary and obey the ergodicity principle.
Some new searching algorithms called Chaos Optimization Algorithms (COAs) use the properties of chaos like ergodicity as in Li (1998) and Zhang (1999).
A] is already strongly consistent by assuming only the ergodicity of [[PHI].
The first notion, ergodicity, is important for conceptualising the actual effort or work that students put into enacting the computer game.
In this method the assumption is made that the image is a random function of brightness with the ergodicity property.
Some areas studied include a mathematical-model approach to chlamydial infection in Japan, time-inhomogeneous Markov chains and ergodicity arising from nonlinear dynamic systems and optimization, solutions to open problems in n-dimensional fluid dynamics, exact penalty functions for constrained optimization problems, and the development of Lyapunov's direct method in the application to new types of problems of hydrodynamic stability theory.
He calculates the unlikeliness of the present universe, and mentions ergodicity, Boltzmann's problem of the eternal return, but only in passing.
The 3D hydrogen atom in a strong magnetic field is a nonintegrable and chaotic system [16, 17] undergoing a transition from complete integrability (pure Coulomb case) to ergodicity (at sufficiently high energies), being a generic system, having the mixed type classical phase space [18], and it is an example of classical (Hamiltonian) and quantum chaos par excellence.