Last Updated
：2025/11/21
time average
Noun
Japanese Meaning
（エルゴード理論において）測度空間上の測度保存変換 T の反復作用により、ある初期点から算出される関数の平均（存在する場合）を示す。
（ plural ）
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(ergodic theory) The average (if it exists) of a function over iterations of T, a measure-preserving transformation on a measure space, starting from some initial point x.
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time average
For almost every starting point x, the time average of f along the orbit under the measure-preserving transformation T equals the space average.
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For almost every starting point x, the time average of f along the orbit under the measure-preserving transformation T equals the space average.
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