caa a22 4500 445320338 CHVBK 20180317142701.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00023-011-0086-3 doi (NATIONALLICENCE)springer-10.1007/s00023-011-0086-3 Dimension Theory for Multimodal Maps [Elektronische Daten] [Godofredo Iommi, Mike Todd] This paper is devoted to the study of dimension theory, in particular multifractal analysis, for multimodal maps. We describe the Lyapunov spectrum and study the multifractal spectrum of pointwise dimension. The lack of regularity of the thermodynamic formalism for this class of maps is reflected in the phase transitions of the spectra. Springer Basel AG, 2011 Iommi Godofredo Facultad de Matemáticas, Pontificia Universidad Católica de Chile (PUC), Avenida Vicuña Mackenna, 4860, Santiago, Chile aut Todd Mike Mathematical Institute, University of St Andrews, North Haugh, KY16 9SS, St Andrews, Fife, Scotland aut Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/3(2011-04-01), 591-620 1424-0637 12:3<591 2011 12 23 https://doi.org/10.1007/s00023-011-0086-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00023-011-0086-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Iommi Godofredo Facultad de Matemáticas, Pontificia Universidad Católica de Chile (PUC), Avenida Vicuña Mackenna, 4860, Santiago, Chile aut NATIONALLICENCE 700 1- Todd Mike Mathematical Institute, University of St Andrews, North Haugh, KY16 9SS, St Andrews, Fife, Scotland aut NATIONALLICENCE 773 0- Annales Henri Poincaré SP Birkhäuser Verlag Basel 12/3(2011-04-01), 591-620 1424-0637 12:3<591 2011 12 23 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer