Brownian motion

Random walk

Random walks are great for modelling anything that moves, from particles to people. They're also fun, versatile and beautiful!

The mathematics of movement can describe the behaviour of all types of organisms, from cancer cells to humans.
The mathematics of movement can explain the behaviour of many organisms, from cells to humans. This collection of content explores some this maths and its applications.
The second guiding principle in probability theory is more subtle – universality.
The Institute of Physics and Rambert Dance Company are planning to celebrate the theories of Einstein through dance.
Backgammon is said to be one of the oldest games in the world. In this article, Jochen Blath and Peter Mörters discuss one particularly interesting aspect of the game - the doubling cube. They show how a model using Brownian motion can help a player to decide when to double or accept a double.
Computer games and cinema special effects owe much of their realism to the study of fractals. Martin Turner takes you on a journey from the motion of a microscopic particle to the creation of imaginary moonscapes.