On the geometric ergodicity for a generalized IFS with probabilities
From MaRDI portal
Publication:5065035
DOI10.1142/S0219493721500519zbMath1497.28006OpenAlexW3168760906MaRDI QIDQ5065035
Publication date: 18 March 2022
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493721500519
asymptotic stabilityMarkov operatorgeneralized iterated function systemHutchinson-Wasserstein normstochastic difference equation with delays
Set-valued functions (26E25) Fractals (28A80) Convergence of probability measures (60B10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)
Related Items
Semifractals from multifunctions on product spaces and generalized iterated function systems ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Attractors of generalized IFSs that are not attractors of IFSs
- Generalized iterated function systems with place dependent probabilities
- Topological version of generalized (infinite) iterated function systems
- Applications of fixed point theorems in the theory of generalized IFS
- Generalized IFSs on noncompact spaces
- The geometric rate of convergence of random iteration in the Hutchinson distance
- Random-valued functions and iterative functional equations
- The ergodic theorem for a new kind of attractor of a GIFS
- Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems
- Invariant measure associated with a generalized countable iterated function system
- Random iteration and Markov operators
- Iterated Random Functions
- ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM
- Discrete Itô Formula for Delay Stochastic Difference Equations with Multiple Noises
- Optimal Transport
- Semifractals from multifunctions on product spaces and generalized iterated function systems