Mathematicians Crack a 55-Year-Old Conjecture With Randomness — and a Nod to Juggling
Ronald Graham's 1971 rearrangement conjecture, possibly inspired by juggling, has been proved across four papers, the last by Lisa Sauermann and Huy Tuan Pham in February 2026. The tools were probabilistic: random orderings plus anti-concentration estimates built on Fourier analysis.