Examples of using Ergodic in English and their translations into Korean
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Ergodic theory.
Strongly ergodic.
Ergodic theory.
Strongly ergodic.
Ergodic theorem.
People also translate
Then I worked a little in ergodic theory.
Ergodic flow.
However we should note that his main work was on dynamics and ergodic theory.
Ergodic hypothesis.
In that book containing only 81 pages, Hopf made a precise and elegant summary of ergodic theory.
Ergodic theory.
Proof of the impossibility of ergodic systems: the 1913 papers of Rosenthal and Plancherel.
Ergodic hypothesis.
He also contributed to the solutions to variational problems via Ritz' method and to ergodic theory.
Ergodic properties.
There are two fields of applications of ergodic theory for the exploration of continuous and smooth systems.
Ergodic properties.
Carleman is also one of the authors of a mean ergodic theorem(see, where more is written about priority questions).
Doeblin also contributed to the theory of randomchains with complete connection, some of which was used in a paper by him on ergodic properties of continued fractions.
He introduced ergodic methods into number theory in his first work.
Tits talks in about the range of Margulis's work in combinatorics,differential geometry, ergodic theory, dynamical systems and discrete subgroups of Lie groups.
Her contribution Ergodic theory of differentiable dynamical systems appeared in the resulting 1995 publication presents.
The different approaches to this and related conjectures(and theorems) involve analytic number theory,the theory of Lie groups and algebraic groups, ergodic theory, representation theory, reduction theory, geometry of numbers and some other topics.
As a result most of his work to ergodic theory and topology was neglected or even attributed to others in the years following the end of World War II.
Among the areas on which he has written papers we must mention: complex analysis, topological groups, fixed point theorems, Banach spaces and Hilbert spaces, Markov processes, measure theory,flows, Brownian motion, and ergodic theory.
A comprehensive self-contained survey of the results on ergodic theory of differentiable dynamical systems achieved in the last two decades….
The mean ergodic theorem in Banach spaces was announced by Mazur in 1932 but a proof does not appear in print until 1938 when Yosida and by Kakutani published the result.
Birkhoff's discovery of what has come to be known as the"ergodic theorem" in 1931- 32 is his most well-known contribution to dynamics.
While at MIT,Hopf did much of his work on ergodic theory which he published in papers such as Complete Transitivity and the Ergodic Principle(1932), Proof of Gibbs Hypothesis on Statistical Equilibrium(1932) and On Causality, Statistics and Probability(1934).
His interests and principal achievements were in the fields of partial and ordinarydifferential equations,calculus of variations, ergodic theory, topological dynamics, integral equations, differential geometry, complex function theory and functional analysis.