Dynamical systems

Number theorist Ken Ono is teaching Olympians to swim more efficiently.

Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.

The surprisingly subtle geometry of a familiar game shows how quickly math gets complicated.

For decades, a small group of mathematicians has patiently unraveled the mystery of what was once math’s most popular picture. Their story shows how technology transforms even the most abstract mathematical landscapes.

A series of new papers describes how to fully characterize key dynamical systems with relatively little data.

Mathematicians are finding inevitable structures in sufficiently large sets of integers.

The American mathematician invented entire new ways to understand shapes and spaces.

Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.

Syukuro Manabe and Klaus Hasselmann have been honored for their work that led to reliable predictions of the effects of climate change. They will share the Nobel with Giorgio Parisi, who has made pioneering studies of chaotic physical systems.