On the Probabilistic Representation of the Free Effective Resistance of Infinite Graphs

Tobias Weihrauch () and Stefan Bachmann ()
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Tobias Weihrauch: Universität Leipzig
Stefan Bachmann: Universität Leipzig

Journal of Theoretical Probability, 2023, vol. 36, issue 4, 1956-1971

Abstract: Abstract We completely characterize when the free effective resistance of an infinite graph whose vertices have finite degrees can be expressed in terms of simple hitting probabilities of the random walk on the graph.

Keywords: Weighted graph; Electrical networks; Effective resistance; Random walk; Transience; Primary 05C63; 05C81; Secondary 60J10; 05C12 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10959-022-01218-5

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