| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1892846 | Chaos, Solitons & Fractals | 2013 | 4 Pages |
Abstract
We consider an example of an iterated function system with discontinuous probabilities. We prove that it posses an invariant probability measure. We also prove that it is asymptotically stable provided probabilities are positive.
► Certain iterated function system with discontinuous probabilities is discussed. ► Existence of an invariant measure via the Schauder–Tychonov theorem is established. ► Asymptotic stability of the system under examination is proved.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Joanna Jaroszewska,