Haojie, Ren (Technion Israel): Hausdorff dimension of solenoidal attractors

Solenoidal attractors are fractal sets arising in skew product systems. In this
talk, I will introduce their definition, provide a simple geometric description, and give a
brief overview of their research history. I will then focus on a special class of skew product
maps, discussing my works on the SRB measures and the solenoidal attractors induced
by these maps. The proofs draw on Hochman’s entropy growth tools for convolutions
and techniques from my recent collaboration with Shen. I will also introduce some open
questions in the field.