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  3. Probability on Graphs
  • Cited by 31
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      January 2018
      January 2018
      ISBN:
      9781108528986
      9781108438179
      DOI:
      https://doi.org/10.1017/9781108528986
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.4kg, 276 Pages
      • Subjects:
      Physics and Astronomy, Abstract Analysis, Probability Theory and Stochastic Processes, General Statistics and Probability, Statistics and Probability, Statistical Physics
      Series:
      Institute of Mathematical Statistics Textbooks (8)
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    • Selected: Digital
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    Subjects:
    Physics and Astronomy, Abstract Analysis, Probability Theory and Stochastic Processes, General Statistics and Probability, Statistics and Probability, Statistical Physics
    Series:
    Institute of Mathematical Statistics Textbooks (8)
    Information

    Book description

    This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

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