Jarai, A. A. and Werning, N., 2014. Minimal configurations and sandpile measures. Journal of Theoretical Probability, 27 (1), pp. 153-167.
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|
|Creators||Jarai, A. A.and Werning, N.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||minimal_arxiv_2.pdf: The original article is available at www.springerlink.com: link.springer.com/article/10.1007/s10959-012-0446-z|
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