Invasion percolation and the incipient infinite cluster in 2D
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Publication:1416858
DOI10.1007/s00220-003-0796-6zbMath1041.82020OpenAlexW2139705140MaRDI QIDQ1416858
Publication date: 16 December 2003
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-003-0796-6
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27) Time-dependent percolation in statistical mechanics (82C43)
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Multi-arm incipient infinite clusters in 2D: scaling limits and winding numbers ⋮ Absence of site percolation at criticality in ℤ2×{0,1} ⋮ Infinite canonical super-Brownian motion and scaling limits ⋮ Random graph asymptotics on high-dimensional tori ⋮ Some toy models of self-organized criticality in percolation ⋮ Scaling limit of the invasion percolation cluster on a regular tree ⋮ Transitions for exceptional times in dynamical first-passage percolation ⋮ Limit theorems for 2D invasion percolation ⋮ Exponential growth of ponds in invasion percolation on regular trees ⋮ Subdiffusivity of random walk on the 2D invasion percolation cluster ⋮ Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation ⋮ Non-optimality of invaded geodesics in 2d critical first-passage percolation ⋮ Arm events in two-dimensional invasion percolation ⋮ Invasion percolation on regular trees ⋮ Relations between invasion percolation and critical percolation in two dimensions ⋮ Outlets of 2D invasion percolation and multiple-armed incipient infinite clusters ⋮ Random spatial growth with paralyzing obstacles
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