Schürmann, Thomas; Hoffmann, Ingo The entropy of ”strange” billiards inside \(n\)-simplexes. (English) Zbl 0870.58044 J. Phys. A, Math. Gen. 28, No. 17, 5033-5039 (1995). Summary: We investigate a new type of billiards defined inside \(n\)-simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension. In using symbolic dynamics, the (KS or metric) entropy is computed and we find that the system is chaotic for all cases \(n>2\). Cited in 7 Documents MSC: 37A99 Ergodic theory 37E99 Low-dimensional dynamical systems Keywords:entropy; \(n\)-simplex regions; billiards; symbolic dynamics PDFBibTeX XMLCite \textit{T. Schürmann} and \textit{I. Hoffmann}, J. Phys. A, Math. Gen. 28, No. 17, 5033--5039 (1995; Zbl 0870.58044) Full Text: DOI arXiv