|Location:||MSRI: Simons Auditorium, Online/Virtual|
AGRS Research Seminar: Projection Theorems For Linear-Fractional Families Of Projections
To participate in this seminar, please register HERE.
Marstrand’s theorem (1954) states that given a Borel set in the Euclidean plane, the Hausdorff dimension of the image of A under the orthogonal projection onto a line L equals the smaller of 1 and dimA, for almost every line L that contains the origin. This theorem has since been generalized to higher dimensions as well as to various different spaces that carry natural families of projection mappings.
In the first part of this talk, I will recall some of these generalizations and the different methods used to proving them. In the second part, I am going to present some recent (joint with A. Lukyanenko) about projection theorems for families of projections that are induced by either Möbius transformations or real linear fractional transformations.
Projection Theorems for Linear-Fractional Families of Projections
Seminar Series Description