Random iterations of maps on Rk : asymptotic stability, synchronisation and functional central limit theorem
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Publication:5854646
DOI10.1088/1361-6544/abe17bzbMath1470.60078arXiv2001.04021OpenAlexW3134837076MaRDI QIDQ5854646
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Publication date: 17 March 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.04021
Central limit and other weak theorems (60F05) Discrete-time Markov processes on general state spaces (60J05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Generation, random and stochastic difference and differential equations (37H10)
Cites Work
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- Synchronization properties of random piecewise isometries
- Bony attractors
- Criteria for strong and weak random attractors
- Asymptotics of a class of Markov processes which are not in general irreducible
- Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
- Recurrent iterated function systems
- Attractors for random dynamical systems
- Random attractors
- Global random attractors are uniquely determined by attracting deterministic compact sets
- A uniformly exponential random forward attractor which is not a pullback attractor
- Random walks on \(\mathrm{Homeo}(S^1)\)
- Minimal random attractors
- Central limit theorems for additive functionals of Markov chains.
- Synchronization in minimal iterated function systems on compact manifolds
- Contraction of orbits in random dynamical systems on the circle
- Physical measures for nonlinear random walks on interval
- Random Point Attractors Versus Random Set Attractors
- A new class of markov processes for image encoding
- On the functional central limit theorem and the law of the iterated logarithm for Markov processes
- Regularity of invariant graphs for forced systems
- Iterated Random Functions
- A Central Limit Theorem for Contractive Stochastic Dynamical Systems
- A central limit theorem for iterated random functions
- Stability of the Markov operator and synchronization of Markovian random products
- Invariant Probabilities for Certain Markov Processes
- Noncommuting Random Products
- Central limit theorems for contractive Markov chains
