# zbMATH — the first resource for mathematics

Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances. (English) Zbl 0785.60007
This is a paper about uniform measures on spanning trees and perfect matchings (domino tilings) of infinite periodic $$d$$-dimensional lattices. A method for calculating the finite-dimensional marginals and the entropy of the limiting measure, which involves the Green’s function, is presented. The results extend previous work of the second author [Ann. Probab. 19, No. 4, 1559-1574 (1991; Zbl 0758.60010)].

##### MSC:
 60C05 Combinatorial probability 60K35 Interacting random processes; statistical mechanics type models; percolation theory
Full Text: