Minimal configurations and sandpile measures


Jarai, A. A. and Werning, N., 2014. Minimal configurations and sandpile measures. Journal of Theoretical Probability, 27 (1), pp. 153-167.

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    We give a new simple construction of the sandpile measure on an infinite graph G, under the sole assumption that each tree in the Wired Uniform Spanning Forest on G has one end almost surely. For so called generalized minimal configurations the limiting probability on G exists even without this assumption. We also give determinantal formulas for minimal configurations on general graphs in terms of the transfer current matrix.


    Item Type Articles
    CreatorsJarai, A. A.and Werning, N.
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    URLURL Type Full-text
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementminimal_arxiv_2.pdf: The original article is available at
    ID Code28021


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