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