Itai Benjamini studies random geometric and combinatorial structures. His joint work with Russell Lyons, Yuval Peres and Oded Schramm investigates uniform spanning forests as limits of finite uniform spanning trees.[ref]
Uniform Spanning Forests by Itai Benjamini and others. Original byline and abstract
On an infinite graph, a limiting forest need not be a single tree. Free and wired boundary conditions can lead to different laws. The paper relates this distinction and the number of connected components to random walks and harmonic functions, making infinite-volume geometry accessible through probabilistic tests.[ref]
Articles by others on the same topic
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