In the last 30 years, the mathematical study of random phenomena has seen great advances. One of the most influential researchers in this field has been John Hammersley. This volume surveys the current state of mathematical research in those areas where he has made his most significant contributions. The authors of the articles are colleagues of the dedicatee. Progress in the following topics is covered: percolation theory; random networks; lattice animals; stochastic geometry; diffusions; covering problems; Monte Carlo methods; operations research; computational complexity; random fields; convergence of random variables; classical and quantum mechanics; and analytic number theory.
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