University of Birmingham > Talks@bham > Topology and Dynamics seminar > New approaches to overlapping iterated function systems

New approaches to overlapping iterated function systems

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If you have a question about this talk, please contact Simon Baker.

A standard technique for generating fractal sets is to use an object called an iterated function system (or IFS for short). When an IFS satisfies some separation condition then much is known about the corresponding fractal. The situation is far more complicated when the IFS fails to satisfy any separation condition, and the pieces of the fractal overlap significantly. In this talk I will discuss a new approach for describing how an IFS overlaps. This approach uses ideas from Diophantine approximation.

This talk is part of the Topology and Dynamics seminar series.

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