Article contents
Some remarks on random zeta functions
Published online by Cambridge University Press: 06 August 2002
Abstract
We answer in the negative a question of Viviane Baladi: in contrast to its deterministic or averaged versions, the random zeta function has no meromorphic extensions, hence no poles which would describe the Lyapunov exponents of the corresponding random transfer operator. In fact we show that the sequence of traces of the random iterates of this operator does not determine almost surely these exponents.
- Type
- Research Article
- Information
- Copyright
- © 2002 Cambridge University Press
- 6
- Cited by