Percolation theory and first-passage percolation
From MaRDI portal
Publication:1094008
DOI10.1214/aop/1176991975zbMath0629.60103OpenAlexW1994942503WikidataQ56593243 ScholiaQ56593243MaRDI QIDQ1094008
Publication date: 1987
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176991975
resistanceopen problemscontinuum percolationfirst-passage percolationscaling relationspercolation on graph
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of renewal theory (reliability, demand theory, etc.) (60K10)
Related Items
The fractal volume of the two-dimensional invasion percolation cluster ⋮ The parallel complexity of growth models ⋮ The triangle condition for percolation ⋮ On phase transitions for subshifts of finite type ⋮ Geodesics in two-dimensional first-passage percolation ⋮ Coupling agent based simulation with dynamic networks analysis to study the emergence of mutual knowledge as a percolation phenomenon ⋮ Doubly stochastic Yule cascades. II: The explosion problem in the non-reversible case ⋮ Mean-field critical behaviour for percolation in high dimensions ⋮ Parabolic problems for the Anderson model. I: Intermittency and related topics ⋮ Crabgrass, measles and gypsy moths: An introduction to modern probability ⋮ Stochastic homogenization for reaction-diffusion equations ⋮ First-passage percolation on a ladder graph, and the path cost in a VCG auction ⋮ On the Markov Transition Kernels for First Passage Percolation on the Ladder ⋮ Asymptotics for Euclidean minimal spanning trees on random points ⋮ Limiting shape for directed percolation models ⋮ Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes ⋮ Speeding up non-Markovian first-passage percolation with a few extra edges ⋮ Resistance bounds for first-passage percolation and maximum flow ⋮ Absence of geodesics in first-passage percolation of a half-plane
