On traversable length inside semi-cylinder in 2d supercritical bond percolation

Sugimine, Nobuaki; Takei, Masato

J. Math. Kyoto Univ., Tome 47 (2007) no. 3, p. 153-167 / Harvested from Project Euclid

Résumé

We investigate a limit theorem on traversable length inside semicylinder in the 2-dimensional supercritical Bernoulli bond percolation, which gives an extension of Theorem 2 in [5]. This type of limit theorems was originally studied for the extinction time for the 1-dimensional contact process on a finite interval in [10]. Actually, our main result Theorem 2.1 is stated under a rather general 2-dimensional bond percolation setting.

Publié le : 2007-05-15
Classification: 60K35, 82B43

@article{1250281073,
     author = {Sugimine, Nobuaki and Takei, Masato},
     title = {On traversable length inside semi-cylinder in 2d supercritical bond percolation},
     journal = {J. Math. Kyoto Univ.},
     volume = {47},
     number = {3},
     year = {2007},
     pages = { 153-167},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281073}
}

Sugimine, Nobuaki; Takei, Masato. On traversable length inside semi-cylinder in 2d supercritical bond percolation. J. Math. Kyoto Univ., Tome 47 (2007) no. 3, pp.  153-167. http://gdmltest.u-ga.fr/item/1250281073/