Distance statistics in quadrangulations with no multiple edges and the geometry of minbus

DOI10.1088/1751-8113/43/20/205207zbMath1198.05034arXiv1002.2552OpenAlexW2044557831MaRDI QIDQ3565205

Jérémie Bouttier, Emmanuel Guitter

Publication date: 2 June 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2552

zbMATH Keywords

quadrangulationslabeled treesrandom mapsdistance statisticsDistance in lattice systems

Mathematics Subject Classification ID

Trees (05C05) Sums of independent random variables; random walks (60G50) Exact enumeration problems, generating functions (05A15) 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) Distance in graphs (05C12) Infinite graphs (05C63)

Related Items (5)

Quadrangulations with no pendant vertices ⋮ A note on irreducible maps with several boundaries ⋮ A phase transition in block-weighted random maps ⋮ The two-point function of bicolored planar maps ⋮ On symmetric quadrangulations and triangulations

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