Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2
Citer cet article
V. JIMENEZ Lopez. $C^1$ WEAKLY CHAOTIC FUNCTIONS WITH ZERO TOPOLOGICAL ENTROPY\ AND NON-FLAT CRITICAL POINTS. Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a2/
@article{AMUC_1991_60_2_a2,
author = {V. JIMENEZ Lopez},
title = {$C^1$ {WEAKLY} {CHAOTIC} {FUNCTIONS} {WITH} {ZERO} {TOPOLOGICAL} {ENTROPY\} {AND} {NON-FLAT} {CRITICAL} {POINTS}},
journal = {Acta mathematica Universitatis Comenianae},
year = {1991},
volume = {60},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a2/}
}
TY - JOUR
AU - V. JIMENEZ Lopez
TI - $C^1$ WEAKLY CHAOTIC FUNCTIONS WITH ZERO TOPOLOGICAL ENTROPY\ AND NON-FLAT CRITICAL POINTS
JO - Acta mathematica Universitatis Comenianae
PY - 1991
VL - 60
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a2/
ID - AMUC_1991_60_2_a2
ER -
%0 Journal Article
%A V. JIMENEZ Lopez
%T $C^1$ WEAKLY CHAOTIC FUNCTIONS WITH ZERO TOPOLOGICAL ENTROPY\ AND NON-FLAT CRITICAL POINTS
%J Acta mathematica Universitatis Comenianae
%D 1991
%V 60
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a2/
%F AMUC_1991_60_2_a2
It is proved that there exist $C^1$ unimodal functions analytic in a neighbourhood of their (only) critical point having simultaneously topological entropy zero, wandering intervals and a scrambled set of positive Lebesgue measure.
