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单词 ergodic
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Examples ofergodic

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First, we show that we can arrive at f1 maintaining the given measure, and then we verify theergodicproperties.
From theCambridge English Corpus
We construct a minimal foliation of thin type which is not uniquelyergodic.
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We assume t h a t the system (3.1) is mixing as well asergodic.
From theCambridge English Corpus
It is easy to see that the action preserves the (finite) measure and isergodic.
From theCambridge English Corpus
It remains to see that f is notergodic.
From theCambridge English Corpus
In fact, there may or may not exist anergodicelement.
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A class ofergodictransformations having simple spectrum.
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On a series of cosecants related to a problem inergodictheory.
From theCambridge English Corpus
In this paper, we construct quasi-invariant measures for this foliation, and study theirergodicproperties.
From theCambridge English Corpus
Section 6 completes the proof without theergodicassumption.
From theCambridge English Corpus
One may ask how the number ofergodicinvariant measures can be increased in a controlled way.
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Since the argument below is carried out for oneergodiccomponent of at a time, we may as well assume isergodic.
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In this paper we obtain different types of randomergodictheorems for dynamical systems or continuous semi-flows.
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In order to study general invariantergodicmeasures, it is useful to look at the so-called fibre measures.
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So this problem can be avoided by saying that hm isergodicfor all m 1, a condition called totallyergodic.
From theCambridge English Corpus
This contradiction means that our assumption that f was notergodicwas false.
From theCambridge English Corpus
The existence of the limit is a consequence of theergodictheorem.
From theCambridge English Corpus
Concerning the applications inergodictheory, we only consider the case when m = 1, of course.
From theCambridge English Corpus
Then the limit value isergodicor mixing when it is not orthogonal to the underlying measure.
From theCambridge English Corpus

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.

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