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In mathematical physics and mathematics, the continuum limit or scaling limit of a lattice model refers to its behaviour in the limit as the lattice spacing goes to zero. It is often useful to use lattice models to approximate real-world processes, such as Brownian motion. Indeed, according to Donsker's theorem, the discrete random walk would, in the scaling limit, approach the true Brownian motion.

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  • Scaling limit (en)
  • 缩放极限 (zh)
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  • In mathematical physics and mathematics, the continuum limit or scaling limit of a lattice model refers to its behaviour in the limit as the lattice spacing goes to zero. It is often useful to use lattice models to approximate real-world processes, such as Brownian motion. Indeed, according to Donsker's theorem, the discrete random walk would, in the scaling limit, approach the true Brownian motion. (en)
  • 在物理学和数学中,缩放极限(scaling limit)描述格子间距变为0的情况。这样的格点模型描述量子场论和第二级相变。 而且根据,布朗运动在缩放极限逼近维纳过程。 (zh)
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  • In mathematical physics and mathematics, the continuum limit or scaling limit of a lattice model refers to its behaviour in the limit as the lattice spacing goes to zero. It is often useful to use lattice models to approximate real-world processes, such as Brownian motion. Indeed, according to Donsker's theorem, the discrete random walk would, in the scaling limit, approach the true Brownian motion. (en)
  • 在物理学和数学中,缩放极限(scaling limit)描述格子间距变为0的情况。这样的格点模型描述量子场论和第二级相变。 而且根据,布朗运动在缩放极限逼近维纳过程。 (zh)
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