ergodic in English

adjective
1
relating to or denoting systems or processes with the property that, given sufficient time, they include or impinge on all points in a given space and can be represented statistically by a reasonably large selection of points.
Doeblin also contributed to the theory of random chains with complete connection, some of which was used in a paper by him on ergodic properties of continued fractions.

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Below are sample sentences containing the word "ergodic" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "ergodic", or refer to the context using the word "ergodic" in the English Dictionary.

1. In mathematical terms, random vibration is characterized as an ergodic and stationary process.

2. Bryna Kra works in ergodic theory and dynamical systems, particularly on problems motivated by combinatorics and number theory.

3. Recently, great progress has been made at the interface of operator algebras, Descriptive Set Theory and Ergodic Theory.

4. Areas of current activity include complex, harmonic, and real Analysis; dynamical systems and ergodic theory; functional Analysis; mathematical physics; operator theory and operator algebras; partial differential equations and …

5. Numerous results have been achieved so far, in particular regarding rigidity results for von Neumann algebras and so-called von Neumann equivalence arising from so-called measure-preserving ergodic a.e. free group actions.

6. As of 2015, IMPA does research in algebra, analysis, differential geometry, partial differential equations, computer graphics, fluid dynamics, holomorphic dynamics, mathematical economics, symplectic geometry, algebraic geometry, optimization, probability theory, dynamical systems, and ergodic theory.

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