Improved upper bounds for the critical probability of oriented percolation in two dimensions

DOI10.1002/rsa.3240050407zbMath0807.60092OpenAlexW2015276351MaRDI QIDQ4312748

Béla Bollobás, Paul N. Balister, Alan M. Stacey

Publication date: 22 February 1995

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

Full work available at URL: https://doi.org/10.1002/rsa.3240050407

zbMATH Keywords

critical probabilitytwo-dimensional oriented percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Percolation (82B43)

Related Items (13)

Max-linear models in random environment ⋮ The box-crossing property for critical two-dimensional oriented percolation ⋮ Random transceiver networks ⋮ Geometry of Lipschitz percolation ⋮ Forward Clusters for Degenerate Random Environments ⋮ On a property of random-oriented percolation in a quadrant ⋮ Infinite paths in randomly oriented lattices ⋮ Continuum percolation with steps in an annulus ⋮ Percolation in Voronoi tilings ⋮ Fluctuation lower bounds in planar random growth models ⋮ Subcritical $\mathcal {U}$-bootstrap percolation models have non-trivial phase transitions ⋮ Infinite paths on a random environment of \({\mathbb{Z}}^2\) with bounded and recurrent sums ⋮ Degenerate random environments

Cites Work

• Oriented percolation in two dimensions
• The basic contact processes
• An inequality for the weights of two families of sets, their unions and intersections
• Upper bounds for the critical probability of oriented percolation in two dimensions
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