Geometry of the uniform infinite half‐planar quadrangulation
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Publication:4642743
DOI10.1002/rsa.20746zbMath1387.05232arXiv1508.00133OpenAlexW2963780797MaRDI QIDQ4642743
Alessandra Caraceni, Nicolas Curien
Publication date: 25 May 2018
Published in: Random Structures & Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00133
self-avoiding walkrandom planar mapsgeodesic raysBrownian planeuniform infinite half-planar quadrangulationpencil decomposition
Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (10)
Compact Brownian surfaces ⋮ The Brownian disk viewed from a boundary point ⋮ Uniform infinite half-planar quadrangulations with skewness ⋮ Classification of scaling limits of uniform quadrangulations with a boundary ⋮ Self-Avoiding Walks on the UIPQ ⋮ Brownian geometry ⋮ Spine representations for non-compact models of random geometry ⋮ Tree-decorated planar maps ⋮ Geodesic rays in the uniform infinite half-planar quadrangulation return to the boundary ⋮ Recurrence of the uniform infinite half-plane map via duality of resistances
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