Feigenbaum, Mitchell Complicated objects on regular trees. (English) Zbl 0708.58008 Nonlinear evolution and chaotic phenomena, Proc. NATO ASI, Noto/Italy 1987, NATO ASI Ser., Ser. B 176, 5-24 (1988). [For the entire collection see Zbl 0706.00019.] Our goal in these lectures will be to study what kind of description is possible for complicated objects that arise from or can be associated with dynamical systems. In particular we will try to understand the structure of Cantor sets and strange attractors, and the focal point will be cruder-thermodynamic understanding. Cited in 1 Document MSC: 37E99 Low-dimensional dynamical systems 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:Farey tree; dynamical systems; Cantor sets; strange attractors Citations:Zbl 0706.00019 PDFBibTeX XML