Proves Hausdorff dimension lower bounds (e.g., 2 for 3-star points w.r.t. LQG metric) for star points and metric nets in LQG and Kendall's Poisson roads via non-constancy sets of Lipschitz functions.
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Dimension lower bounds in random geometry via Lipschitz functions
Proves Hausdorff dimension lower bounds (e.g., 2 for 3-star points w.r.t. LQG metric) for star points and metric nets in LQG and Kendall's Poisson roads via non-constancy sets of Lipschitz functions.