Absolutely continuous measures for certain maps of an interval
type: Item
instance of: scholarly article
title: Absolutely continuous measures for certain maps of an interval
zbMATH Open document ID: 0477.58020
DOI: 10.1007/BF02698686
published in: Publications Mathématiques
publication date: 1981-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/103973
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 28D20
Mathematics Subject Classification ID: 54C70
zbMATH DE Number: 3749932
zbMATH Keywords: piecewise smooth map of an interval into itself with negative Schwarzian derivative and polynomial behaviour in the neighbourhoods of exceptional points
zbMATH Keywords: no periodic attracting points
zbMATH Keywords: existence of a probability invariant measure absolutely continuous with respect to the Lebesgue measure
zbMATH Keywords: metric entropies
zbMATH Keywords: topological entropy
author: Michał Misiurewicz
MaRDI profile type: Publication
cites work: Sensitive dependence to initial conditions for one dimensional maps
cites work: Q3814426
cites work: Q4153330
cites work: Q5565255
cites work: Symbolic Dynamics and Transformations of the Unit Interval
cites work: Stable Orbits and Bifurcation of Maps of the Interval
description: scientific article; zbMATH DE number 3749932