Upper and lower bounds for the mass of the geodesic flow on graphs (original) (raw)

Mathematical Proceedings of The Cambridge Philosophical Society, 1997

Abstract

Let G be a connected locally finite simplicial graph with rk([pi]1(G))[gt-or-equal, slanted]2 and let T be the universal cover of G. Consider a [pi]1(G)-invariant conformal density [mu] of dimension d on [partial partial differential]T. The total mass function [phi][mu] of [mu] is defined on the set of vertices of G. Let |[phi][mu]| be its l2-norm. Let [Omega] be the geodesic

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