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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Absorbing set (random dynamical systems) ： ウィキペディア英語版 Absorbing set (random dynamical systems) In mathematics, an absorbing set for a random dynamical system is a subset of the phase space that eventually contains the image of any bounded set under the cocycle ("flow") of the random dynamical system. As with many concepts related to random dynamical systems, it is defined in the pullback sense. ==Definition== Consider a random dynamical system ''φ'' on a complete separable metric space (''X'', ''d''), where the noise is chosen from a probability space (Ω, Σ, P) with base flow ''ϑ'' : R × Ω → Ω. A random compact set ''K'' : Ω → 2''X'' is said to be absorbing if, for all ''d''-bounded deterministic sets ''B'' ⊆ ''X'', there exists a (finite) random time ''τ''''B'' : Ω → 0, +∞) such that :$t\; \backslash geq\; \backslash tau\_\; (\backslash omega)\; \backslash implies\; \backslash varphi\; (t,\; \backslash vartheta\_\; \backslash omega)\; B\; \backslash subseteq\; K(\backslash omega).$ This is a definition in the pullback sense, as indicated by the use of the negative time shift ''ϑ''−''t''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Absorbing set (random dynamical systems)」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.