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Edge length dynamics on graphs with applications to p-adic AdS/CFT

Edge length dynamics on graphs with applications to p-adic AdS/CFT

We formulate a Euclidean theory of edge length dynamics based on a notion of Ricci curvature on graphs with variable edge lengths. In order to write an explicit form for the discrete analog of the Einstein-Hilbert action, we require that the graph should either be a tree or that all …