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One-Dimensional Percolation

  • Anders Malthe-Sørenssen

摘要

The percolation problem can be solved exactly in two limits: in the one-dimensional and the infinite dimensional cases. Here, we will first address the one-dimensional system. While the one-dimensional system does not allow us to study the full complexity of the percolation problem, many of the concepts and measures introduced to study the one-dimensional problem can generalized to higher dimensions.