Planar maps and continued fractions

DOI10.1007/s00220-011-1401-zzbMath1235.05067arXiv1007.0419OpenAlexW3104703509MaRDI QIDQ663285

Jérémie Bouttier, Emmanuel Guitter

Publication date: 14 February 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0419

zbMATH Keywords

Schur functionsmap enumeration problems

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Continued fractions (11A55)

Related Items (20)

Compact Brownian surfaces ⋮ Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel–Appell polynomials ⋮ Refined universal laws for hull volumes and perimeters in large planar maps ⋮ The two-point function of bicolored planar maps ⋮ Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants ⋮ Nesting statistics in the \(O(n)\) loop model on random planar maps ⋮ Critical behaviour of spanning forests on random planar graphs ⋮ On the two-point function of general planar maps and hypermaps ⋮ Anti de Sitter quantum field theory and a new class of hypergeometric identities ⋮ Eulerian triangulations: two-point function and hull perimeter statistics ⋮ The three-point function of general planar maps ⋮ Spanning forests in regular planar maps ⋮ On the number of unary-binary tree-like structures with restrictions on the unary height ⋮ Compact Brownian surfaces. I: Brownian disks ⋮ On symmetric quadrangulations and triangulations ⋮ Maps of unfixed genus and blossoming trees ⋮ The skeleton of the UIPT, seen from infinity ⋮ Geodesic rays in the uniform infinite half-planar quadrangulation return to the boundary ⋮ The peeling process of infinite Boltzmann planar maps ⋮ Multi-point functions of weighted cubic maps

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