The geometry of a critical percolation cluster on the UIPT
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Publication:1633922
DOI10.1214/17-AIHP869zbMath1434.60292arXiv1701.01667WikidataQ129070343 ScholiaQ129070343MaRDI QIDQ1633922
Publication date: 21 December 2018
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.01667
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (5)
Percolation probability and critical exponents for site percolation on the UIPT ⋮ Local convergence of large random triangulations coupled with an Ising model ⋮ Network models: structure and function. Abstracts from the workshop held December 10--16, 2017 ⋮ The incipient infinite cluster of the uniform infinite half-planar triangulation ⋮ Duality of random planar maps via percolation
Cites Work
- Unnamed Item
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- Unnamed Item
- Uniqueness and universality of the Brownian map
- The Brownian map is the scaling limit of uniform random plane quadrangulations
- Scaling limits for the peeling process on random maps
- Time reversal of random walks in one dimension
- Percolation on uniform infinite planar maps
- Percolation on random triangulations and stable looptrees
- On the probability that integrated random walks stay positive
- On the exact asymptotic behaviour of the distribution of ladder epochs
- Uniform infinite planar triangulations
- Growth and percolation on the uniform infinite planar triangulation
- Construction of non-critical string field theory by transfer matrix formalism in dynamical triangulation
- Recurrence of distributional limits of finite planar graphs
- On conditioning a random walk to stay nonnegative
- Percolations on random maps. I: Half-plane models
- Positivity of integrated random walks
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