Fundamental constants in the~theory of two-dimensional uniform spanning trees
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 580-594
Voir la notice de l'article provenant de la source Math-Net.Ru
Three characteristics of two-dimensional uniform spanning trees are
nontrivially related to one another{:} the average density of a sandpile,
the looping constant of a square lattice, and the return probability of a loop-erased random walk. We briefly trace the long history of the discovery
of their unexpected rational values.
Keywords:
Abelian sandpile model, loop-erased random walk, monomer–dimer model.
@article{TMF_2016_187_3_a10,
author = {V. S. Pogosyan and V. B. Priezzhev},
title = {Fundamental constants in the~theory of two-dimensional uniform spanning trees},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {580--594},
publisher = {mathdoc},
volume = {187},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a10/}
}
TY - JOUR AU - V. S. Pogosyan AU - V. B. Priezzhev TI - Fundamental constants in the~theory of two-dimensional uniform spanning trees JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2016 SP - 580 EP - 594 VL - 187 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a10/ LA - ru ID - TMF_2016_187_3_a10 ER -
%0 Journal Article %A V. S. Pogosyan %A V. B. Priezzhev %T Fundamental constants in the~theory of two-dimensional uniform spanning trees %J Teoretičeskaâ i matematičeskaâ fizika %D 2016 %P 580-594 %V 187 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a10/ %G ru %F TMF_2016_187_3_a10
V. S. Pogosyan; V. B. Priezzhev. Fundamental constants in the~theory of two-dimensional uniform spanning trees. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 580-594. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a10/