For infinite radially symmetric trees, the p-modulus of all root-to-infinity paths is (sum_k (sigma_k |S_k|)^{-q/p})^{-p/q}, and a critical p-value separates positive from zero modulus.
Block- ing duality for p-modulus on networks and applications
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$p$-Modulus on radially symmetric trees
For infinite radially symmetric trees, the p-modulus of all root-to-infinity paths is (sum_k (sigma_k |S_k|)^{-q/p})^{-p/q}, and a critical p-value separates positive from zero modulus.