blog — Combinatorics and more (Gil Kalai) — 3 Sep 2026
Amazing: There is no Percolation at the Critical Probability in all Dimensions. (Solved by AI via a conjecture of Gady Kozma and Shahaf Nitzan.)
#percolation-theory #ai-assisted-mathematics #combinatorics
The θ(p꜀) = 0 conjecture is solved in all dimensions. In 2024 Gady Kozma and Shahaf Nitzan showed how to derive the dying percolation conjecture from a proposed conjecture about percolation on general graphs. (I briefly discussed it in this … Continue reading →