Dimensions of exceptional self-affine sets in R^3

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• Jonathan Fraser, University of St Andrews
• Monday 04 November 2019, 11:00-12:00
• G23, Watson Building.

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Planar self-affine sets generated by diagonal and anti-diagonal matrices are an important family of exceptional self-affine sets, where the box (and Hausdorff) dimension can be strictly smaller than the affinity dimension. The box dimensions are given by a natural ‘pressure type’ formula based on modified singular value functions. We consider the analogous setting in R^3, where the self-affine sets are generated by generalised permutation matrices, and will see that the situation is rather more complicated. This is joint work with Natalia Jurga (Surrey).

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

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