Article contents
First-passage percolation under weak moment conditions
Published online by Cambridge University Press: 14 July 2016
Abstract
Most research in first-passage percolation has been done under the assumption of a finite mean for the underlying time coordinate distribution. We demonstrate that the basic ergodic results can be derived under a weaker moment assumption, which still permits us to evaluate the time constant in the case where the atom at zero of the time coordinate distribution exceeds one-half. Further almost sure convergence is investigated more closely.
- Type
- Research Papers
- Information
- Copyright
- Copyright © Applied Probability Trust 1979
References
- 3
- Cited by