\select@language {english}
\contentsline {section}{\tocsection {}{1}{Introduction}}{1}
\contentsline {section}{\tocsection {}{2}{Preliminaries}}{4}
\contentsline {subsection}{\tocsubsection {}{2.1}{Local attracting polynomial skew products}}{4}
\contentsline {subsection}{\tocsubsection {}{2.2}{Denker-Przytycki-Urbanski's Lemma}}{5}
\contentsline {section}{\tocsection {}{3}{Structure of fattened Fatou components}}{6}
\contentsline {subsection}{\tocsubsection {}{3.1}{Attracting basin case}}{7}
\contentsline {subsection}{\tocsubsection {}{3.2}{Parabolic basin case}}{7}
\contentsline {subsection}{\tocsubsection {}{3.3}{Siegel disk case}}{8}
\contentsline {subsection}{\tocsubsection {}{3.4}{Wandering vertical Fatou disks}}{9}
\contentsline {section}{\tocsection {}{4}{Estimate of horizontal size of fattened Fatou components}}{9}
\contentsline {section}{\tocsection {}{5}{Estimate of size of forward images of vertical Fatou disks}}{16}
\contentsline {section}{\tocsection {}{6}{Proof of the non-wandering domain theorem}}{21}
\contentsline {section}{\tocsection {}{7}{Polynomial skew products}}{23}
\contentsline {section}{\tocsection {}{}{References}}{24}
