On the use of the deterministic Lyapunov function for the ergodicity of stochastic difference equations
- 1 June 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 17 (03) , 666-678
- https://doi.org/10.1017/s0001867800015287
Abstract
We have shown that within the setting of a difference equation it is possible to link ergodicity with stability via the physical notion of energy in the form of a Lyapunov function.Keywords
This publication has 7 references indexed in Scilit:
- A threshold AR(1) modelJournal of Applied Probability, 1984
- The existence of moments for stationary Markov chainsJournal of Applied Probability, 1983
- Geometric ergodicity of Harris recurrent Marcov chains with applications to renewal theoryStochastic Processes and their Applications, 1982
- Non-linear time series models for non-linear random vibrationsJournal of Applied Probability, 1980
- Criteria for classifying general Markov chainsAdvances in Applied Probability, 1976
- Sufficient conditions for ergodicity and recurrence of Markov chains on a general state spaceStochastic Processes and their Applications, 1975
- Quelques questions de la théorie de la stabilité pour les systèmes aux différences finiesArchive for Rational Mechanics and Analysis, 1963