Asymptotics of the Scenery Flow and Properties of the Fourier Dimension
This thesis is about the scenery flow and the Fourier dimension.The scenery flow is a semiflow on the space of Borel probability measures on the interval [-1, 1] that have the origin in their support. The flow acts on such a measure by enlarging it, restricting it back to [-1, 1] and renormalising it to a probability measure. A measure induces a family of probability distributions on the space of