Limit theorems for critical first-passage percolation on the triangular lattice

DOI10.1016/j.spa.2017.05.002zbMath1380.60092arXiv1602.00065OpenAlexW2962866589MaRDI QIDQ679612

Chang-long Yao

Publication date: 11 January 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00065

zbMATH Keywords

law of large numbersscaling limitcentral limit theoremcritical percolationconformal loop ensemblefirst-passage percolation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (8)

Universality of the time constant for \(2D\) critical first-passage percolation ⋮ Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation ⋮ Covering monotonicity of the limit shapes of first passage percolation on crystal lattices ⋮ Transitions for exceptional times in dynamical first-passage percolation ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ Critical first-passage percolation starting on the boundary ⋮ Kardar–Parisi–Zhang universality in first-passage percolation: the role of geodesic degeneracy ⋮ Asymptotics for 2D critical and near-critical first-passage percolation

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