In:
Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), Vol. 11, No. 4 ( 1991-12), p. 687-708
Abstract:
We study the asymptotic behavior of iterates of rational functions with small perturbations. In presence of attractive cycles we show that almost surely, in the parameter space, the iterates converge to a given neighborhood of the attractive cycles. When there is no attractive cycle, we prove an ergodic theorem with respect to Lebesgue measure.
Type of Medium:
Online Resource
ISSN:
0143-3857
,
1469-4417
DOI:
10.1017/S0143385700006428
Language:
English
Publisher:
Cambridge University Press (CUP)
Publication Date:
1991
detail.hit.zdb_id:
1461798-5
SSG:
17,1
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