I will talk about projection theorems for general families of maps satisfying the transversality condition. We extend classical results of this type to universal versions, holding simultaneously for families of measures satisfying a new condition called relative dimension separability. The setting is general enough to include orthogonal projections and natural projections for iterated function systems (as well as its non-autonomous and random generalizations). This allows us to provide novel applications to orthogonal projections of ergodic measures on self-conformal sets and their multifractal analysis. This is based on a joint work with Balázs Bárány and Károly Simon.
Meeting ID: 852 4277 3200 Passcode: 103121