No percolation at criticality

Achillefs Tzioufas

No percolation at criticality

Probability 2018-07-13 v2

Authors: Achillefs Tzioufas

Abstract

Ever since J.M. Hammersley showed the existence of phase-transitions regarding independent bond percolation on general $d \geq 2$ dimensional integer-lattices in the late 50's, the continuity (or discontinuity) of which is perhaps the most prominent and long-standing basic open problem in the subsequently extensively developed theory of percolation.

Keywords

percolation theory

Cite

@article{arxiv.1807.03849,
  title  = {No percolation at criticality},
  author = {Achillefs Tzioufas},
  journal= {arXiv preprint arXiv:1807.03849},
  year   = {2018}
}

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