Jialun Li [WS1]: Dimensions of surface repellers and attractors of non-linear planar IFSs

Speaker
Jialun Li, Fudan University

Abstract
We establish that for a \(C^r\)-surface repeller (\(1 < r \leq \infty\)) satisfying dominated splitting and su-non-integrable, its Hausdorff dimensions are exactly the unique zero of the sub-additive topological pressure function.