= Itai Benjamini
{c}
<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>.<Uniform Spanning Forests by Itai Benjamini and others>[Original byline and abstract]{ref}
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.<Uniform Spanning Forests by Itai Benjamini and others>[Abstract and Theorem 9.4]{ref}
Back to article page