Anthropic AI solves percolation theory 'holy grail' days after Fields medalist predicted it
aran_nayebi · x · 2026-09-30
Per Scientific American, an Anthropic AI has produced a landmark proof for a threshold problem long considered the "holy grail" of percolation theory: characterizing the critical point where a random network's open connections shift from likely finite to likely infinite.
- Percolation theory studies how liquid permeates porous media (like coffee grounds); mathematician Benedikt Jahnel said solving this would likely earn a Fields Medal.
- Fields medalist Hugo Duminil-Copin and others had failed to crack it; on Aug 30, 2026 he wrote that the field's most famous conjecture would fall to AI in time.
- Days later, Anthropic's AI delivered the proof, vindicating his prediction.
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