Abstract
We study fast approximation of integrals with respect to stationary probability measures associated to iterated function systems on the unit interval. We provide an algorithm for approximating the integrals under certain conditions on the iterated function system and on the function that is being integrated. We apply this technique to estimate Hausdorff moments, Wasserstein distances and Lyapunov exponents of stationary probability measures.
| Original language | English |
|---|---|
| Pages (from-to) | 2294-2310 |
| Number of pages | 17 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 41 |
| Issue number | 8 |
| Early online date | 8 Jun 2020 |
| DOIs | |
| Publication status | Published - 1 Aug 2021 |
Keywords
- Low-dimensional dynamics
- Iterated function systems
- Transfer operator
- Stationary measures