Paper of Ian Morris on fractals to appear in AMS Transactions

The paper “On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems“, co-authored by Ian Morris and Pablo Shmerkin (Torcuato Di Tella University, Argentina, and former Lecturer at Surrey), was recently accepted for publication by the Transactions of the American Mathematical Society. In this article they establish a new method for obtaining sharp lower estimates for the Hausdorff dimension of a self-affine fractal. As applications, they give some new examples of self-affine fractals for which the Hausdorff dimension can be explicitly calculated.  The arXiv version is downloadable here. The figure below is from one of their new examples.