ergodicity


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ergodicity

(ˌɜːɡəˈdɪsɪtɪ)
n
(Mathematics) maths the state of being ergodic
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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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 ?
Furthermore, the findings of ergodicity and stationarity also demonstrate that the series do not meet the assumptions of conventional diffusion models of log-normal price prevailing in the theoretical finance literature.
Chaotic systems have properties like ergodicity, sensitivity to initial condition, mixing property, and also have deterministic dynamic and complex structure.
They cover mechanics, molecular dynamics, and Gibbs' statistical mechanics; numerical integration and error analysis; molecular dynamics with thermostats; simple systems with thermal constraints; ergodicity and its importance in small systems; equilibrium thermodynamics + non-equilibrium hydrodynamics; the statistical mechanics of small systems; microscopic reversibility, macroscopic irreversibility; Lyapunov instability, fractals, and chaos; and smooth particle continuum mechanics.
Further, with an ergodicity hypothesis, the image distribution is estimated from its pixels.
Zhu, "Stationary distribution and ergodicity of a stochastic hybrid competition model with Levy jumps," Nonlinear Analysis: Hybrid Systems, vol.
For cryptography, chaotic systems can be broadly implemented to encrypt biometric characteristics due to their intrinsic properties, such as ergodicity, mixture, and sensitivity to their parameters and initial conditions [9].
Due to ergodicity hypothesis volume averaging is equal to statistical averaging: [mathematical expression not reproducible].
Markin, "On the mean ergodicity of weak solutions of an abstract evolution equation," Methods of Functional Analysis and Topology, vol.
Performance analysis is provided to show that 2D-SLMM has wider chaotic range, better ergodicity, and hyperchaotic properties than the existing chaotic maps.
Liu, "Stationary distribution and ergodicity of a stochastic food-chain model with Levy jumps," Physica A: Statistical Mechanics and its Applications, vol.
Chaos, as a widespread nonlinear phenomenon in nature, has the characteristics of randomness, ergodicity, sensitivity to initial conditions and so on [67].
We analyze the largest possible [C.sup.V.sub.[infinity]]([[chi].sub.[omega]]), over all [omega] [member of] [M.sub.L], and we develop conditions analogous to the quantum unique ergodicity conditions in [6] for this constant to hold.