Speaker: Jon Fraser (Manchester)

Title: Inhomogeneous iterated function systems

Abstract: Inhomogeneous iterated function systems are natural generalisations of the classic iterated function systems, commonly used to generate examples of fractal sets. The key difference is that one begins with a fixed ”condensation” set which is then dragged into the construction by the iterates of mappings in the IFS. Such systems have applications in image compression in situations where one wants to produce an image with lots of similar objects appearing at different scales, like a flock of seagulls or a forest. I will review some structural properties of the attractors of such systems and go on to discuss their dimension theory. Some of this talk will be joint work with Simon Baker (Reading) and Andras Mathe (Warwick).