%0 Journal Article %1 Araujo2014Recent %A Araújo, N. %A Grassberger, P. %A Kahng, B. %A Schrenk, K. %A Ziff, R. %D 2014 %J The European Physical Journal Special Topics %K review percolation %N 11 %P 2307--2321 %R 10.1140/epjst/e2014-02266-y %T Recent advances and open challenges in percolation %U http://dx.doi.org/10.1140/epjst/e2014-02266-y %V 223 %X 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.

@article{Araujo2014Recent, abstract = {{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.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Ara\'{u}jo, N. and Grassberger, P. and Kahng, B. and Schrenk, K. and Ziff, R.}, biburl = {https://www.bibsonomy.org/bibtex/2bf64ba0974883c51f893e5d7869ddabf/nonancourt}, citeulike-article-id = {13154828}, citeulike-linkout-0 = {http://dx.doi.org/10.1140/epjst/e2014-02266-y}, citeulike-linkout-1 = {http://arxiv.org/abs/1404.5325}, citeulike-linkout-2 = {http://arxiv.org/pdf/1404.5325}, citeulike-linkout-3 = {http://dx.doi.org/10.1140/epjst/e2014-02266-y}, day = 24, doi = {10.1140/epjst/e2014-02266-y}, eprint = {1404.5325}, interhash = {9c2e29ff1efb4b30b8c0ba53a2bc22b5}, intrahash = {bf64ba0974883c51f893e5d7869ddabf}, issn = {1951-6401}, journal = {The European Physical Journal Special Topics}, keywords = {review percolation}, month = oct, number = 11, pages = {2307--2321}, posted-at = {2014-04-29 17:03:58}, priority = {2}, timestamp = {2019-07-31T12:25:48.000+0200}, title = {{Recent advances and open challenges in percolation}}, url = {http://dx.doi.org/10.1140/epjst/e2014-02266-y}, volume = 223, year = 2014 }