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random numbers

Abstractions blog

How Randomness Can Make Math Easier

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

geometry

Random Surfaces Hide an Intricate Order

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

quantum information theory

How to Turn a Quantum Computer Into the Ultimate Randomness Generator

Pure, verifiable randomness is hard to come by. Two proposals show how to make quantum computers into randomness factories.

Art for "Proof Finds That All Change Is a Mix of Order and Randomness"
dynamical systems

Proof Finds That All Change Is a Mix of Order and Randomness

All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”

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?

Abstractions blog

Air Traffic Control for Random Surfaces

Mathematicians have had a hard time finding commonalities in large groups of random shapes — until recently.

geometry

A Unified Theory of Randomness

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

number theory

Mathematicians Discover Prime Conspiracy

A previously unnoticed property of prime numbers seems to violate a long-standing assumption about how they behave.