If a compactly supported Borel measure in a Euclidean space
has Hausdorff dimension smaller than k, then almost every projection
onto a k-dimensional hyperplane is injective on a set of full measure.
We study regularity of the (almost surely defined) inverse to such
projections. I will present results on its pointwise Holder continuity
in terms of the box-counting and Assouad dimension of the support of the
original measure. Some examples will be provided as well. This is based
on a preprint, joint with Krzysztof Barański and Jonatan Gutman.

Meeting ID: 852 4277 3200
Passcode: 103121