Percolation of level sets for two-dimensional random fields with lattice symmetry

DOI10.1007/BF02179453zbMath0839.60088MaRDI QIDQ1906431

Stanislav Alekseevich Molchanov, Kenneth S. Alexander

Publication date: 28 May 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

percolationrandom fieldincompressible flowturbulent diffusionshot noiseminimal spanning treestatistical topographyLagrangian trajectory

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (8)

The scaling limits of the minimal spanning tree and invasion percolation in the plane ⋮ Minimal spanning forests ⋮ Stochastic generation of explicit pore structures by thresholding Gaussian random fields ⋮ Boundedness of level lines for two-dimensional random fields ⋮ Statistical scaling of geometric characteristics in stochastically generated pore microstructures ⋮ Geometry of the minimal spanning tree of a random 3-regular graph ⋮ Convection-enhanced diffusion for random flows ⋮ Notes on Percolation Analysis of Sampled Scalar Fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Choosing a spanning tree for the integer lattice uniformly
• Asymptotics for Euclidean minimal spanning trees on random points
• Sharpness of the phase transition in percolation models
• Trapping, percolation, and anomalous diffusion of particles in a two-dimensional random field
• Percolation Processes: Lower Bounds for the Critical Probability
• On the critical percolation probabilities
• Coexistence of the infinite (*) clusters: ? A remark on the square lattice site percolation

This page was built for publication: Percolation of level sets for two-dimensional random fields with lattice symmetry