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The discrete Einstein relation
Authors:Svein Olav Nyberg
Affiliation:(1) Department of Mathematics and Statistics, University of Edinburgh, JC Maxwell Building, EH9352 Edinburgh, UK
Abstract:In this paper the connection between lsquomassrsquoM, lsquoresistancersquorhov and lsquocommute timersquotheta for random walks on graphs is further explored, and the relationtheta=2M ·rhov is proved. An extension of the result is made to multigraphs, which are an extension of the graph concept where a black box is treated like an edge.
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