Infinite paths in randomly oriented lattices

DOI10.1002/rsa.1007zbMath0982.05103OpenAlexW2058242802MaRDI QIDQ2725031

Geoffrey R. Grimmett

Publication date: 8 April 2002

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.1007

zbMATH Keywords

probabilitysquare latticepercolation problem

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

Related Items (7)

Connections in Randomly Oriented Graphs ⋮ Selected Problems in Probability Theory ⋮ On a property of random-oriented percolation in a quadrant ⋮ Correlations for paths in random orientations of G(n,p) and G(n,m) ⋮ A Counter-Intuitive Correlation in a Random Tournament ⋮ On Percolation and the Bunkbed Conjecture ⋮ Degenerate random environments

Cites Work

• A note on percolation
• Percolation Probabilities on the Square Lattice
• Percolation
• Improved upper bounds for the critical probability of oriented percolation in two dimensions
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