Limit theorems for random transformations and processes in random environments
DOI10.1090/S0002-9947-98-02068-6zbMath0995.37033OpenAlexW1575690642MaRDI QIDQ4382972
Publication date: 24 March 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02068-6
Markov chainscentral limit theoremmartingale differencesrandom environmentsrandom transformationslaws of iterated logarithmrandom suspensionscontinuous time versionrandom expandingrandom subshifts of finite type
Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generation, random and stochastic difference and differential equations (37H10) General theory of random and stochastic dynamical systems (37H05) Markov processes (60J99)
Related Items
Cites Work
- On the central limit theorem for Markov chains in random environments
- Markov chains with stochastically stationary transition probabilities
- A hierarchy of Liouville integrable finite-dimensional Hamiltonian systems
- Mixing: Properties and examples
- Large deviations for Markov chains with random transitions
- Perron-Frobenius theorem, large deviations, and random perturbations in random environments
- Invariance principles for the law of the iterated logarithm for martingales and processes with stationary increments
- Approximation by Brownian motion for Gibbs measures and flows under a function
- Almost sure invariance principles for partial sums of weakly dependent random variables
- Ruelle's transfer operator for random subshifts of finite type
- Fractal Dimensions and Random Transformations
- On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item