The hyperbolic Brownian plane

DOI10.1007/s00440-017-0785-xzbMath1406.60050arXiv1604.06622OpenAlexW2963041459MaRDI QIDQ1647936

Thomas Budzinski

Publication date: 27 June 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06622

zbMATH Keywords

triangulationHausdorff dimensionLévy processGromov-Hausdorff-Prokhorov distancehyperbolic Brownian planenear-critical scaling limitperimeter processplanar stochastic hyperbolic triangulationuniform infinite planar triangulationvolume process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Combinatorial probability (60C05) Functional limit theorems; invariance principles (60F17)

Related Items (11)

Uniform infinite half-planar quadrangulations with skewness ⋮ Infinite geodesics in hyperbolic random triangulations ⋮ Classification of scaling limits of uniform quadrangulations with a boundary ⋮ Multi-ended Markovian triangulations and robust convergence to the UIPT ⋮ Anomalous diffusion of random walk on random planar maps ⋮ Local limits of uniform triangulations in high genus ⋮ Brownian geometry ⋮ Spine representations for non-compact models of random geometry ⋮ Markovian explorations of random planar maps are roundish ⋮ Growth-fragmentation processes in Brownian motion indexed by the Brownian tree ⋮ Isoperimetric inequalities in the Brownian plane

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