Editing Loop-erased random walk (section)

{{Short description|Model for a random simple path}}
[[File:Loop erased random walk in 2D.png|thumb|A loop-erased random walk in 2D for <math>10^6</math> steps.]]
In [[mathematics]], '''loop-erased random walk''' is a model for a [[random]] [[path (graph theory)|simple path]] with important applications in [[combinatorics]], [[physics]] and [[quantum field theory]]. It is intimately connected to the '''uniform spanning tree''', a model for a random [[Tree (graph theory)|tree]]. See also ''[[random walk]]'' for more general treatment of this topic.