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Title:
Complex Feigenbaum phenomena with degenerating geometries
Speaker:
Abstract:
Renormalisation is a main focus of the theory of one-dimensional complex dynamics. It is connected to the central conjectures on the density of hyperbolicity and the local connectivity of the Mandelbrot set. For quadratic polynomials, there are two different types of renormalisations — primitive and satellite types. The primitive renormalisation has been successfully studied over the past few decades; the corresponding maps exhibit tame dynamical behaviour. The satellite type has a very different nature and remained mostly mysterious until recently. In this talk, we discuss the wide range of possibilities for the dynamics in presence of infinitely many satellite renormalisation structures.
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