Low-concentration series in general dimension

  title={Low-concentration series in general dimension},
  author={Joan Adler and Yigal Meir and Amnon Aharony and A. Brooks Harris and Lior Klein},
  journal={Journal of Statistical Physics},
We discuss recent work on the development and analysis of low-concentration series. For many models, the recent breakthrough in the extremely efficient no- free-end method of series generation facilitates the derivation of 15th-order series for multiple moments in general dimension. The 15th-order series have been obtained for lattice animals, percolation, and the Edwards-Anderson Ising spin glass. In the latter cases multiple moments have been found. From complete graph tables through to 13th… 

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Fractal and Multifractal Scaling of Electrical Conduction in Random Resistor Networks

  • S. Redner
  • Physics
    Encyclopedia of Complexity and Systems Science
  • 2009
The relation between resistor networks and random walks is discussed and it is shown how the classic phenomena of recurrence and transience of random walks are simply related to the conductance of a corresponding electrical network.

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