Abstract

Recent relations that relate the exponent s of superconducting percolating networks to other percolation exponents are discussed. The author analyses the available exact and numerical results for s to gain insight into the possible relation between s and the geometrical exponents of percolation and the structure of superconducting percolation networks. The results are given geometrical interpretation. The author also discusses the random walk statistics of the 'termite' which executes a random walk on the superconducting percolation networks. In particular the author proposes an expression for the mean number of distinct sites visited by the termite and interpret it in terms of the statistics of a random walk with a transition probability whose variance is infinite.

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