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arXiv · 1807.03849

No percolation at criticality

Achillefs Tzioufas
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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.

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Achillefs Tzioufas. 2018-07-10. No percolation at criticality. https://arxiv.org/abs/1807.03849

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