Jamming transitions and avalanches in the game of Dots-and-Boxes

Richard Metzler; Andreas Engel

doi:10.1103/physreve.65.066108

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Jamming transitions and avalanches in the game of Dots-and-Boxes

Richard Metzler·Andreas Engel

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Abstract

We study the game of Dots-and-Boxes from a statistical point of view. The early game can be treated as a case of Random Sequential Adsorption, with a jamming transition that marks the beginning of the end-game. We derive set of differential equations to make predictions about the state of the lattice at the transition, and thus about the distribution of avalanches in the end-game.

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Richard Metzler, Andreas Engel. 2002-03-20. Jamming transitions and avalanches in the game of Dots-and-Boxes. https://doi.org/10.1103/physreve.65.066108

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