Critical scaling for an anisotropic percolation system on \(\mathbb{Z}^2\)
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Publication:2024516
DOI10.1214/20-EJP533zbMath1462.60057arXiv1904.11030OpenAlexW3094525081MaRDI QIDQ2024516
Thomas S. Mountford, Hao Xue, Maria Eulália Vares
Publication date: 4 May 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.11030
Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Cites Work
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- Layered systems at the mean field critical temperature
- Rescaled contact processes converge to super-Brownian motion in two or more dimensions
- Supercritical contact processes on Z
- Rescaled voter models converge to super-Brownian motion.
- Stochastic p.d.e.'s arising from the long range contact and long range voter processes
- Branching random walks with acritical branching part
- Pathwise versions of the Burkholder-Davis-Gundy inequality
- Spatial epidemics: Critical behavior in one dimension
- Normal Approximation and Asymptotic Expansions
- Two Contrasting Properties of Solutions for One-Dimensional Stochastic Partial Differential Equations
- Probability
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