SIXTY YEARS OF PERCOLATION
SIXTY YEARS OF PERCOLATION
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六十年的渗透
DOI：
10.1142/9789813272880_0162
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
H. Duminil
中科院分区：
文献类型：
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作者：
H. Duminil
渗流模型描述了多孔材料的内部。这个理论在20世纪中期谨慎地出现，后来才成为概率论和数学物理学的主要研究对象之一。渗流的黄金时代可能是80年代，在此期间，大多数主要结果都是针对这些模型中最经典的，称为伯努利渗流，但实际上是接下来的二十年，将渗流理论置于几个数学领域的十字路口。在这个简短的（和非常部分的）审查，我们建议简要描述一些最近的进展，以及一些著名的挑战仍然在该领域。这篇评论并不是针对概率学家（更不用说渗透理论的专家了）：目标读者是各种数学家。
Percolation models describe the inside of a porous material. The theory emerged timidly in the middle of the twentieth century before becoming one of the major objects of interest in probability and mathematical physics. The golden age of percolation is probably the eighties, during which most of the major results were obtained for the most classical of these models, named Bernoulli percolation, but it is really the two following decades which put percolation theory at the crossroad of several domains of mathematics. In this short (and very partial) review, we propose to describe briefly some of the recent progress as well as some famous challenges remaining in the field. This review is not intended to probabilists (and a fortiori not to specialists in percolation theory): the target audience is mathematicians of all kinds.