Studies in statistical physics: Stochastic strategies in a minority game and continuum percolation of overlapping discs
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Lilypad Percolation
Let r be a nonnegative real number. Attach a disc of radius r to infinitely many random points (including the origin). Lilypad percolation asks whether we can reach infinity from the origin by walking through ‘lilypads’, that is, moving from one disc to another only if the discs overlap. In this paper, we explain what we mean by infinitely many random points, giving a definition of a Poisson Ra...
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