Article contents
Positive columns for stochastic matrices
Published online by Cambridge University Press: 14 July 2016
Abstract
If an n × n stochastic matrix has a column with no zeros, one can immediately conclude that the chain is ergodic and the state corresponding to that column is persistent and aperiodic. In this paper it is shown that it is decidable whether or not some power of a finite stochastic matrix has a positive column. Some problems regarding positive columns in infinite stochastic matrices are also considered.
Keywords
- Type
- Short Communications
- Information
- Copyright
- Copyright © Applied Probability Trust 1974
References
- 7
- Cited by