Infinite Ergodic Walks in Finite Connected Undirected Graphs

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The micro-canonical, canonical, and grand canonical ensembles of walks defined<br> in finite connected undirected graphs are reviewed in the thermodynamic limit of infinite walk length. We discuss entropic variables - force and pressure - describing the effect of graph defects on very long walks in micro-canonical ensembles; navigation in graphs and navigability to the nodes by different types of walks in canonical ensembles; and node’s fugacity with respect to prospective network growth or withering in grand-canonical ensembles.
Original languageEnglish
Pages (from-to)205 (17)
StatePublished - Feb 8 2021


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