Percolation in high dimensions is not understood

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Percolation in high dimensions is not understood

The number of spanning clusters in four to nine dimensions does not fully follow the expected size dependence for random percolation. Researchers were interested already long ago in percolation theory above the upper critical dimension of six [1, 2], and we followed [3]. At the perco-lation threshold [4], there is a theoretical consensus that the number N of spanning clusters stays finite with ...

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ژورنال

عنوان ژورنال: Physica A: Statistical Mechanics and its Applications

سال: 2004

ISSN: 0378-4371

DOI: 10.1016/j.physa.2003.12.001