The Green's function on the double cover of the grid and application to the uniform spanning tree trunk

DOI10.1214/19-AIHP1019zbMath1460.82005arXiv1708.05381OpenAlexW3037608836MaRDI QIDQ2227468

Richard W. Kenyon, David Bruce Wilson

Publication date: 15 February 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.05381

zbMATH Keywords

Green's functionLaplacianloop-erased random walk

Mathematics Subject Classification ID

Trees (05C05) Statistical mechanics of polymers (82D60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions, Quantitative bounds on vortex fluctuations in 2d$2d$ Coulomb gas and maximum of the integer‐valued Gaussian free field, Transition probabilities for infinite two-sided loop-erased random walks, Winding of simple walks on the square lattice

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