What's up in

random walk

geometry

Random Surfaces Hide an Intricate Order

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

Art for "In the Universe of Equations, Virtually All Are Prime"
number theory

In the Universe of Equations, Virtually All Are Prime

Equations, like numbers, cannot always be split into simpler elements.

Information dog bottleneck
Wired to Learn: The Next AI

New Theory Cracks Open the Black Box of Deep Learning

A new idea is helping to explain the puzzling success of today’s artificial-intelligence algorithms — and might also explain how human brains learn.

insights puzzle

Solution: ‘A Drunkard’s Walk in Manhattan’

City blocks help illustrate why walking randomly tends to take you away from your starting point.

insights puzzle

A Drunkard’s Walk in Manhattan

Why is it that when you walk randomly, the more you walk, the farther you get from your starting point?

geometry

A Unified Theory of Randomness

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.

statistical physics

At the Far Ends of a New Universal Law

A potent theory has emerged explaining a mysterious statistical law that arises throughout physics and mathematics.