New methods to bound the critical probability in fractal percolation

DOI10.1002/rsa.20566zbMath1330.60118arXiv1210.4150OpenAlexW2077971405MaRDI QIDQ3460516

Henk Don

Publication date: 7 January 2016

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

Full work available at URL: https://arxiv.org/abs/1210.4150

zbMATH Keywords

upper boundscritical probabilityfractal percolationlower bounds

Mathematics Subject Classification ID

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

Related Items (2)

An upper bound for the bond percolation threshold of the cubic lattice by a growth process approach ⋮ Geometric functionals of fractal percolation

Cites Work

• Universal behavior of connectivity properties in fractal percolation models
• On the structure of Mandelbrot's percolation process and other random Cantor sets
• Connectivity properties of Mandelbrot's percolation process
• Superbranching processes and projections of random Cantor sets
• On the value of the critical point in fractal percolation
• Random fractals
• Percolation
• Percolation in Random Cantor Sets
• A new lower bound for the critical probability of site percolation on the square lattice

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