物理學數學中,縮放極限(scaling limit)描述格子間距變為0的情況。這樣的格點模型描述量子場論第二級相變

布朗運動是一個隨機漫步。根據Donsker定理,這在縮放極限逼近維納過程

而且根據Donsker定理英語Donsker's theorem布朗運動在縮放極限逼近維納過程

參見

參考文獻

  • H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena
  • 哈根·克萊納特 H. G. Kleinert, Gauge Fields in Condensed Matter, Vol. I, " SUPERFLOW AND VORTEX LINES", pp. 1–742, Vol. II, "STRESSES AND DEFECTS", pp. 743–1456, World Scientific (Singapore, 1989); Paperback ISBN 9971-5-0210-0 (also available online: Vol. I頁面存檔備份,存於網際網路檔案館) and Vol. II頁面存檔備份,存於網際網路檔案館))
  • 哈根·克萊納特H. G. Kleinert和V. Schulte-Frohlinde, Critical Properties of φ4-Theories, World Scientific (Singapore, 2001); Paperback ISBN 981-02-4658-7 (also available online頁面存檔備份,存於網際網路檔案館

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