Brownian motion

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The maths of randomness: universality

The second guiding principle in probability theory is more subtle – universality.

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Dancing with Einstein
The Institute of Physics and Rambert Dance Company are planning to celebrate the theories of Einstein through dance.
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Backgammon, doubling the stakes, and Brownian motion
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.
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Modelling nature with fractals
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.
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