Disorder in physical systems : a volume in honour of John M. Hammersley on the occasion of his 70th birthday

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書誌事項

Disorder in physical systems : a volume in honour of John M. Hammersley on the occasion of his 70th birthday

edited by G.R. Grimmett and D.J.A. Welsh

Clarendon Press , Oxford University Press, 1990

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注記

Includes bibliogrphies and index

内容説明・目次

内容説明

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.

目次

  • Speech proposing the toast to John Hammersley - 1 October 1987, David Kendall
  • Jakimovski methods and almost-sure convergence, N.H.Bingham and U.Stadtmuller
  • Markov random fields in statistics, Peter Clifford
  • on Hammersley's method for one-dimensional covering problems, Cyril Domb
  • on a problem of Straus, P.Erdos and A.Sarkozy
  • directed compact percolation II - nodal points, mass distribution, and scaling, J.W.Essam and D.Tanlakishani
  • critical points, large-dimensionality expansions, and the Ising spin glass, Michael E.Fisher and Rajiv R.P.Singh
  • bistability in communication networks, R.J.Gibbens,et al
  • a quantal hypothesis for hadrons and the judging of physical numerology, I.J.Good
  • percolation in infinity + 1 dimensions, G.R.Grimmett and C.M. Newman
  • Monte Carlo methods applied to quantum-mechanical order-disorder phenomena in crystals, D.C.Handscomb
  • the diffusion of Euclidean shape, Wilfred S.Kendall
  • asymptotics in high dimensions for percolation, Harry Kesten
  • some random collections of finite subsets, J.F.C.Kingman
  • probabilistic analysis of tree search, C.J.H.McDiarmid
  • probability densities for some one-dimensional problems in statistical mechanics, J.S.Rowlinson
  • seedlings in the theory of shortest paths, J.Michael Steele
  • the computational complexity of some classical problems from statistical physics, D.J.A.Welsh
  • lattice animals - rigorous results and wild guesses, S.G.Whittington and C.E.Soteros
  • fields and flows on random graphs, P.Whittle
  • bond percolation critical probability bounds for the Kagome Lattice by a substitution method, John C.Wierman
  • Browian motion and the Riemann Zeta-Function, David Williams.

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