Law of large numbers for the maximal flow through a domain of $\mathbb{R}^{d}$ in first passage percolation
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Publication:5200202
DOI10.1090/S0002-9947-2011-05341-9zbMath1228.60107arXiv0907.5504MaRDI QIDQ5200202
Publication date: 1 August 2011
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.5504
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Variational problems in a geometric measure-theoretic setting (49Q20)
Related Items (9)
The maximal flow from a compact convex subset to infinity in first passage percolation on \(\mathbb{Z}^d \) ⋮ Size of a minimal cutset in supercritical first passage percolation ⋮ Large deviations for the contact process in random environment ⋮ Variational problems with percolation: dilute spin systems at zero temperature ⋮ Maximal stream and minimal cutset for first passage percolation through a domain of \(\mathbb{R}^{d}\) ⋮ Upper large deviations for the maximal flow through a domain of \(\mathbb R^{d}\) in first passage percolation ⋮ Existence and continuity of the flow constant in first passage percolation ⋮ Lower large deviations for the maximal flow through a domain of \({\mathbb{R}^d}\) in first passage percolation ⋮ Asymptotic behaviour of ground states for mixtures of ferromagnetic and antiferromagnetic interactions in a dilute regime
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