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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 superprocess ： ウィキペディア英語版 superprocess An $(\backslash alpha,d,\backslash beta)$-superprocess, $X(t,dx)$, is a stochastic process on $\backslash mathbb\; \backslash times\; \backslash mathbb^d$ that is usually constructed as a special limit of branching diffusion where the branching mechanism is given by its factorial moment generating function: :$\backslash Phi(s)\; =\; \backslash frac(1-s)^+s$ and the spatial motion of individual particles is given by the $\backslash alpha$-symmetric stable process with infinitesimal generator $\backslash Delta\_$. The $\backslash alpha\; =\; 2$ case corresponds to standard Brownian motion and the $(2,d,1)$-superprocess is called the Dawson-Watanabe superprocess or super-Brownian motion. One of the most important properties of superprocesses is that they are intimately connected with certain nonlinear partial differential equations. The simplest such equation is :$\backslash Delta\; u-u^2=0\backslash \; on\backslash \; \backslash mathbb^d.$ ==References== * * 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「superprocess」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.