Asymptotic stability of densities for piecewise convex maps
Annales Polonici Mathematici (1992)
- Volume: 57, Issue: 1, page 83-90
- ISSN: 0066-2216
Access Full Article
top
Abstract
topHow to cite
topTomoki Inoue. "Asymptotic stability of densities for piecewise convex maps." Annales Polonici Mathematici 57.1 (1992): 83-90. <http://eudml.org/doc/262329>.
@article{TomokiInoue1992,
abstract = {We study the asymptotic stability of densities for piecewise convex maps with flat bottoms or a neutral fixed point. Our main result is an improvement of Lasota and Yorke's result ([5], Theorem 4).},
author = {Tomoki Inoue},
journal = {Annales Polonici Mathematici},
keywords = {Frobenius-Perron operator; asymptotic stability; piecewise convex maps; exactness; stability of densities; theorem of Lasota and Yorke; piecewise convex maps of the unit interval},
language = {eng},
number = {1},
pages = {83-90},
title = {Asymptotic stability of densities for piecewise convex maps},
url = {http://eudml.org/doc/262329},
volume = {57},
year = {1992},
}
TY - JOUR
AU - Tomoki Inoue
TI - Asymptotic stability of densities for piecewise convex maps
JO - Annales Polonici Mathematici
PY - 1992
VL - 57
IS - 1
SP - 83
EP - 90
AB - We study the asymptotic stability of densities for piecewise convex maps with flat bottoms or a neutral fixed point. Our main result is an improvement of Lasota and Yorke's result ([5], Theorem 4).
LA - eng
KW - Frobenius-Perron operator; asymptotic stability; piecewise convex maps; exactness; stability of densities; theorem of Lasota and Yorke; piecewise convex maps of the unit interval
UR - http://eudml.org/doc/262329
ER -
References
top- [1] M. Benedicks and M. Misiurewicz, Absolutely continuous invariant measures for maps with flat tops, Publ. Math. IHES 69 (1989), 203-213. Zbl0703.58030
- [2] T. Inoue, Weakly attracting repellors for piecewise convex maps, preprint. Zbl0772.58036
- [3] T. Inoue and H. Ishitani, Asymptotic periodicity of densities and ergodic properties for nonsingular systems, Hiroshima Math. J. 21 (1991), 597-620. Zbl0755.28007
- [4] A. Lasota and M. C. Mackey, Probabilistic Properties of Deterministic Systems, Cambridge University Press, 1984. Zbl0606.58002
- [5] A. Lasota and J. A. Yorke, Exact dynamical systems and the Frobenius-Perron operator, Trans. Amer. Math. Soc. 273 (1982), 375-384. Zbl0524.28021
- [6] G. Pianigiani, First return map and invariant measures, Israel J. Math. 35 (1980), 32-48. Zbl0445.28016
- [7] V. A. Rokhlin, Exact endomorphisms of a Lebesgue space, Amer. Math. Soc. Transl. Ser. (2) 39 (1964), 1-36. Zbl0154.15703
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.