THE EXISTENCE OF ABSOLUTELY CONTINUOUS INVARIANT-MEASURES IS NOT A TOPOLOGICAL INVARIANT FOR UNIMODAL MAPS

Authors
BRUIN H
Citation
H. Bruin, THE EXISTENCE OF ABSOLUTELY CONTINUOUS INVARIANT-MEASURES IS NOT A TOPOLOGICAL INVARIANT FOR UNIMODAL MAPS, Ergodic theory & dynamical systems, 18, 1998, pp. 555-565
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Ergodic theory & dynamical systems → ACNP
ISSN journal
01433857
Volume
18
Year of publication
1998
Part
3
Pages
555 - 565
Database
ISI
SICI code
0143-3857(1998)18:<555:TEOACI>2.0.ZU;2-4
Abstract
Within the class of S-unimodal maps with fixed critical order it is sh own that the existence of an absolutely continuous invariant probabili ty measure is not a topological invariant.