In statistical mechanics, bootstrap percolation is a percolation process in which a random initial configuration of active cells is selected from aâ€¦Â (More)

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2013

2013

- Fabricio Siqueira Benevides, Michal Przykucki
- Electr. J. Comb.
- 2013

Bootstrap percolation, one of the simplest cellular automata, can be seen as a model of the spread of infection. In r-neighbourâ€¦Â (More)

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2010

2010

- JÃ³zsef Balogh, BÃ©la BollobÃ¡s, Robert Morris
- Combinatorics, Probability & Computing
- 2010

In r-neighbour bootstrap percolation on a graph G, a set of initially infected vertices A âŠ‚ V (G) is chosen independently atâ€¦Â (More)

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2009

2009

Bootstrap percolation on a graph G is defined as the spread of activation or infection according to the following rule, with aâ€¦Â (More)

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2009

2009

- R Katie Morris
- Electr. J. Comb.
- 2009

In standard bootstrap percolation, a subset A of the grid [n] is initially infected. A new site is then infected if at least twoâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

In the bootstrap percolation model, sites in an L by L square are initially independently declared active with probability p. Atâ€¦Â (More)

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2008

2008

We study a variant of bootstrap percolation in which growth is restricted to a single active cluster. Initially there is a singleâ€¦Â (More)

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2007

2007

In the bootstrap percolation model, sites in an L by L square are initially infected independently with probability p. Atâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

- JÃ³zsef Balogh, Boris Pittel
- Random Struct. Algorithms
- 2007

The k-parameter bootstrap percolation on a graph is a model of an interacting particle system, which can also be viewed as aâ€¦Â (More)

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2003

2003

- Joan Adler, Uri Lev
- 2003

Bootstrap percolation models describe systems as diverse as magnetic materials, fluid flow in rocks and computer storage systemsâ€¦Â (More)

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2001

2001

- L LebowitzO
- 2001

Bootstrap percolation models, or equivalently certain types of cellular automata, exhibit interesting finite-volume effectsâ€¦Â (More)

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