Random homomorphisms on general finite trees have root values stochastically comparable to discrete Gaussians with sub-Gaussian tails and constant-factor variance bounds controlled solely by effective resistance, extending prior results on regular trees.
On the local convergence of integer-valued Lipschitz functions on regular trees
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Random homomorphisms and Lipschitz functions on trees
Random homomorphisms on general finite trees have root values stochastically comparable to discrete Gaussians with sub-Gaussian tails and constant-factor variance bounds controlled solely by effective resistance, extending prior results on regular trees.