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Critical Values in a Long-range Percolationon Spaces Like Fractals

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Abstract

On a certain class of general discrete spaces including fractals, we consider a model in which each pair of distinct points is connected by a random bond. The main question we are concerned is whether a connected component consisting of infinitely many points exists or not. This depends on the choice of parameters in the connecting probabilities, and the aim of this paper is to find thresholds of the parameters

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  1. Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo, 153-8914, Japan

    Jun Misumi

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  1. Jun Misumi
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Correspondence to Jun Misumi.

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Misumi, J. Critical Values in a Long-range Percolationon Spaces Like Fractals. J Stat Phys 125, 873–883 (2006). https://doi.org/10.1007/s10955-006-9243-3

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  • DOI: https://doi.org/10.1007/s10955-006-9243-3

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