Ian Morris: Continuity, computability and strict monotonicity of the affinity dimension

Tid: To 2017-09-14 kl 14.00 - 14.50

Föreläsare: Ian Morris, University of Surrey

Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm

The affinity dimension, introduced by Falconer in 1988, is a non-conformal analogue of the similarity dimension which is defined for affine iterated function systems. I will discuss some elementary properties of the similarity dimension - namely, its continuity, computability and strict monotonicity - and describe recent work on the nontrivial matter of extending these properties to the affinity dimension. This will include a short description of my recent work on the equilibrium states of the singular value potential with Antti Käenmäki and Jairo Bochi.
 

2017-09-14T14:00 2017-09-14T14:50 Ian Morris: Continuity, computability and strict monotonicity of the affinity dimension Ian Morris: Continuity, computability and strict monotonicity of the affinity dimension
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