= Russell Lyons
{c}
<Russell Lyons> studies <probability theory> on graphs. With <Itai Benjamini>, <Yuval Peres> and <Oded Schramm>, he developed the theory of <uniform spanning forests> on infinite graphs.<Uniform Spanning Forests by Itai Benjamini and others>[Original byline and abstract]{ref}
Finite spanning-tree laws can approach different limits depending on whether the boundary is left free or wired together. Their work connects these limits with <random walks>, potential theory and harmonic functions. One result characterizes the number of wired-forest components through intersections of independent walks, showing that global connectivity is encoded in stochastic paths.<Uniform Spanning Forests by Itai Benjamini and others>[Section 9, Theorem 9.4]{ref}
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