Robin Pemantle (source code)

= Robin Pemantle
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<Robin Pemantle> studies <probability theory> and random combinatorial structures. With <Robert Burton>, he developed methods for computing local probabilities in <uniform spanning trees> using electrical transfer impedances.<Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings via Transfer-Impedances by Robert Burton and Robin Pemantle>[Original byline and abstract]{ref}

The probability that several specified edges occur is a determinant of a small transfer matrix. This avoids enumerating all trees and relates joint edge events to <Green's functions> and network currents. Their work also applies these methods to <domino tilings> and entropy.<Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings via Transfer-Impedances by Robert Burton and Robin Pemantle>[Theorem 1.1 and section 4]{ref}