Absolutely continuous invariant measures for maps with flat tops

Michael Benedicks; Michal Misiurewicz

Publications Mathématiques de l'IHÉS (1989)

  • Volume: 69, page 203-213
  • ISSN: 0073-8301

How to cite


Benedicks, Michael, and Misiurewicz, Michal. "Absolutely continuous invariant measures for maps with flat tops." Publications Mathématiques de l'IHÉS 69 (1989): 203-213. <http://eudml.org/doc/104051>.

author = {Benedicks, Michael, Misiurewicz, Michal},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {critical points; invariant measure},
language = {eng},
pages = {203-213},
publisher = {Institut des Hautes Études Scientifiques},
title = {Absolutely continuous invariant measures for maps with flat tops},
url = {http://eudml.org/doc/104051},
volume = {69},
year = {1989},

AU - Benedicks, Michael
AU - Misiurewicz, Michal
TI - Absolutely continuous invariant measures for maps with flat tops
JO - Publications Mathématiques de l'IHÉS
PY - 1989
PB - Institut des Hautes Études Scientifiques
VL - 69
SP - 203
EP - 213
LA - eng
KW - critical points; invariant measure
UR - http://eudml.org/doc/104051
ER -


  1. [C-E] P. COLLET and J.-P. ECKMANN, Iterated Maps of the Interval as dynamical systems, Birkhauser, 1980. Zbl0458.58002MR82j:58078
  2. [M1] M. MISIUREWICZ, Structure of mappings of an interval with zero entropy, Publ. Math. IHES, 53 (1981), 5-16. Zbl0477.58030MR83j:58071
  3. [M2] M. MISIUREWICZ, Absolutely continuous measures for certain maps of an interval, Publ. Math. IHES, 53 (1981), 17-51. Zbl0477.58020MR83j:58072
  4. [S] S. VAN STRIEN, Hyperbolicity and invariant measures for general C2 interval maps satisfying the Misiurewicx condition, preprint, Delft 1988. 

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