2000/03/01 by Richard Kenyon · 2 citations
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Markov Chains and Monte Carlo Methods #Spanning tree #Tree (set theory) #Mathematics #Boundary (topology) #Bounded function #Range (aeronautics) #Minimum spanning tree #Point (geometry) #Combinatorics #Distribution (mathematics) #Scale (ratio) #Geometry #Mathematical analysis #Physics
paper · pdf · doi:10.1063/1.533190
openalex publication_date 2000/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
We compute some large-scale properties of the uniform spanning tree process on bounded regions in Z2. In particular, we compute the distribution of the meeting point of the branches of the tree issued from three boundary points. We also compute the crossing probabilities of branches of the tree on rectangular and annular regions, as well as the winding number of the branches of the tree.