Shape theorem and surface fluctuation for Poisson cylinders
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Publication:2316592
DOI10.1214/19-EJP329zbMath1466.60060arXiv1806.02469OpenAlexW2963440963MaRDI QIDQ2316592
Xinyi Li, Marcelo Richard Hilário, Petr Alekseevich Panov
Publication date: 6 August 2019
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.02469
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Metric geometry (51F99) Large deviations (60F10) Percolation (82B43)
Cites Work
- On the internal distance in the interlacement set
- Geodesics and flows in a Poissonian city
- On the transience of random interlacements
- On the speed of convergence in first-passage percolation
- Cylinders' percolation in three dimensions
- Percolation in the vacant set of Poisson cylinders
- Percolative properties of Brownian interlacements and its vacant set
- Poisson cylinders in hyperbolic space
- Connectivity properties of random interlacement and intersection of random walks
- 50 Years of First-Passage Percolation
- On chemical distances and shape theorems in percolation models with long-range correlations
- Short-length routes in low-cost networks via Poisson line patterns
- Poisson flats in Euclidean spaces Part I: A finite number of random uniform flats
- Connectedness of Poisson cylinders in Euclidean space
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