Weak Convergence for Reversible Random Walks in a Random Environment
Boivin, Daniel
Ann. Probab., Tome 21 (1993) no. 4, p. 1427-1440 / Harvested from Project Euclid
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Assign to each edge $e$ of the square lattice $\mathbb{Z}^2$ a random bond conductivity $c(e)$. If $c(e)$ are stationary, ergodic and such that $0 < a < c(e) < b < \infty$ for all edges $e$, then there is a central limit theorem for the corresponding reversible random walk on the lattice which holds for almost all environments.
Publié le : 1993-07-14
Classification:  Reversible random walks,  central limit theorem,  random bond conductivity,  60J15 
@article{1176989125,
     author = {Boivin, Daniel},
     title = {Weak Convergence for Reversible Random Walks in a Random Environment},
     journal = {Ann. Probab.},
     volume = {21},
     number = {4},
     year = {1993},
     pages = { 1427-1440},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176989125}
}

Boivin, Daniel. Weak Convergence for Reversible Random Walks in a Random Environment. Ann. Probab., Tome 21 (1993) no. 4, pp.  1427-1440. http://gdmltest.u-ga.fr/item/1176989125/