Attractors of multifunctions. (English) Zbl 0962.28004
The authors introduce the notion of semiattractor and attractor for set-valued functions and show that they have properties similar to semifractals and fractals. An important example of this construction is provided by multifunctions that are generated by a Markov transition kernel through the corresponding support sets.
Reviewer: Ilya S.Molchanov (Glasgow)
MSC:
28A80 | Fractals |
54C60 | Set-valued maps in general topology |
26E25 | Set-valued functions |
60J05 | Discrete-time Markov processes on general state spaces |
37A30 | Ergodic theorems, spectral theory, Markov operators |
37B25 | Stability of topological dynamical systems |