Article contents
Lower large deviations for the maximal flow through tilted cylinders in two-dimensional first passage percolation
Published online by Cambridge University Press: 06 December 2012
Abstract
Equip the edges of the lattice ℤ2 with i.i.d. random capacities. A law of large numbers is known for the maximal flow crossing a rectangle in ℝ2 when the side lengths of the rectangle go to infinity. We prove that the lower large deviations are of surface order, and we prove the corresponding large deviation principle from below. This extends and improves previous large deviations results of Grimmett and Kesten [9] obtained for boxes of particular orientation.
- Type
- Research Article
- Information
- Copyright
- © EDP Sciences, SMAI, 2012
References
Références
- 1
- Cited by