Randomness

After a long hiatus, the problem, which was likely inspired by juggling, has finally been resolved by a group of young mathematicians.

The proof of a decades-old conjecture has given researchers a new way to understand complex networks.

Mathematicians found that a broad class of networks will abruptly shift behavior past a critical point.

Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.

Before he won a Fields Medal for his pioneering work balancing randomness and order, Yu Deng first had to achieve equilibrium in his own life.

The central limit theorem started as a bar trick for 18th-century gamblers. Now scientists rely on it every day.

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better.

An attack on a fundamental proof technique reveals a glaring security issue for blockchains and other digital encryption schemes.

After just a few months of work, a complete newcomer to the world of sphere packing has solved one of its biggest open problems.