Complex systems

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

The uniquely vulnerable West Antarctic Ice Sheet holds enough water to raise global sea levels by 5 meters. But when that will happen — and how fast — is anything but settled.

Earth’s climate is chaotic and volatile. Climate change is simple and predictable. How can both be true?

Over the past 60 years, scientists have largely succeeded in building a computer model of Earth to see what the future holds. One of the most ambitious projects humankind has ever undertaken has now reached a critical moment.

Tipping points in our climate predictions are both wildly dramatic and wildly uncertain. Can mathematicians make them useful?

Elfatih Eltahir explains why we need more local and social data, like disease spread and population growth, to better predict and address climate-related challenges.

Modern thinking machines owe their existence to insights from the physics of complex materials.

A new suggestion that complexity increases over time, not just in living organisms but in the nonliving world, promises to rewrite notions of time and evolution.

Carbon dioxide’s powerful heat-trapping effect has been traced to a quirk of its quantum structure. The finding may explain climate change better than any computer model.