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 ?
The proposed research is an investigation of intermediate chaos in ergodic theory of dynamical systems.
Among the topics are the ergodic theory of hyperbolic groups, harmonic maps and integrable systems, left-orderability and exceptional Dehn surgery on two-bridge knots, the commensurability of knots and L2-unvariants, the number of hyperbolic 3-manifolds of a given volume, and 3-manifolds with Heegaard splittings of distance two.
He is a mathematician, specialising in ergodic theory.
The presence of natural invariant measures allows one to study CA as measure-preserving dynamical systems, applying results from ergodic theory (see e.
Looking at recent results in the area of ergodic theory (the mathematical study of dynamical systems with an invariant measure) concerning the complexity of the problem of classification of ergodic measure preserving transformations up to conjugacy, the structure of the outer automorphism group of a countable measure preserving equivalence relation, ergodic theoretic characterizations with the Haagerup approximation property, and cocycle superrigidity, the author of this monograph realized that these apparently diverse results can all be understood within a unified framework.
His research interests include nonlinear science and complexity, including quantum and classical statistical mechanics, neurodynamics, ergodic theory and cellular automata.
Quasistrumian Shifts, Ergodic Theory and Dynamical Systems forthcoming = math.
Thus, we can say that our approach to the dynamics of the vector field is based on maximisation of the mass carried by the flow [6, 7], which is not exactly what is typically used in the ergodic theory [8-10].
Other applications of almost periodic functions are, for example, in Statistics, Number Theory, the Theory of Spectrum of Bounded Functions, the Theory of Semigroups of Bounded Linear Operators, Dynamical Systems and Ergodic Theory.
BOWEN, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, 470, Springer-Verlag, Berlinr, 1975.