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September 2009
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doubling cube

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One million dollars is waiting to be won by anyone who can solve one of the grand mathematical challenges of the 21st century. In the second of two articles, Chris Budd looks at the well-posedness of the Navier-Stokes equations.

Tags: aerodynamics : navier-stokes equations : Fermat's Last Theorem : mathematical modelling : fluid mechanics : Clay Institute Millennium Prize Problems : circle-squaring : angle trisection : doubling cube : hilbert problems


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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.

Tags: strategy : doubling cube : stochastic process : Brownian motion : independence : stopping time : Backgammon : doubling strategy : random walk