Boyle, Mike; Downarowicz, Tomasz Symbolic extension entropy: \(C^r\) examples, products and flows. (English) Zbl 1110.37007 Discrete Contin. Dyn. Syst. 16, No. 2, 329-341 (2006). Summary: Adapting techniques of Misiurewicz, for \(1\leq r<\infty\), we give an explicit construction of \(C^r\) maps with positive residual entropy. We also establish the behavior of symbolic extension entropy with respect to joinings, fiber products, products, powers and flows. Cited in 4 Documents MSC: 37B10 Symbolic dynamics 37B40 Topological entropy 37C40 Smooth ergodic theory, invariant measures for smooth dynamical systems 37C05 Dynamical systems involving smooth mappings and diffeomorphisms Keywords:sex entropy; residual entropy; entropy; superenvelope PDFBibTeX XMLCite \textit{M. Boyle} and \textit{T. Downarowicz}, Discrete Contin. Dyn. Syst. 16, No. 2, 329--341 (2006; Zbl 1110.37007) Full Text: DOI