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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 Determinantal point process ： ウィキペディア英語版 Determinantal point process In mathematics, a determinantal point process is a stochastic point process, the probability distribution of which is characterized as a determinant of some function. Such processes arise as important tools in random matrix theory, combinatorics, and physics. ==Definition== Let $\backslash Lambda$ be a locally compact Polish space and $\backslash mu$ be a Radon measure on $\backslash Lambda$. Also, consider a measurable function ''K'':Λ2 → ℂ. We say that $X$ is a determinantal point process on $\backslash Lambda$ with kernel $K$ if it is a simple point process on $\backslash Lambda$ with a joint intensity or ''correlation function'' (which is the derivative of its factorial moment measure) given by :$\backslash rho\_n(x\_1,\backslash ldots,x\_n)\; =\; \backslash det(K(x\_i,x\_j)\_)$ for every ''n'' ≥ 1 and ''x''1, . . . , ''x''''n'' ∈ Λ.〔 Hough, J. B., Krishnapur, M., Peres, Y., and Virág, B., Zeros of Gaussian analytic functions and determinantal point processes. University Lecture Series, 51. American Mathematical Society, Providence, RI, 2009.〕 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「Determinantal point process」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.