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Paper detail

Recent advances and open challenges in percolation

Percolation is the paradigm for random connectivity and has been one of the most applied statistical models. With simple geometrical rules a transition is obtained which is related to magnetic models. This transition is, in all dimensions, one of the most robust continuous transitions known. We present a very brief overview of more than 60 years of work in this area and discuss several open questions for a variety of models, including classical, explosive, invasion, bootstrap, and correlated percolation.

preprint2014arXivOpen access
N. A. M. AraújoP. GrassbergerB. KahngK. J. SchrenkR. M. Ziff
cond-mat.stat-mech
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N. A. M. AraújoP. GrassbergerB. KahngK. J. SchrenkR. M. Ziff

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