Can you (quasisymmetrically) compress the Brownian graph?

Date: 2022-05-25

Time: 13:30 - 14:30

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Ilia Binder


Conformal dimension of a set is the minimal Hausdorff dimension of its quasisymmetric image. In the talk, I will discuss the conformal dimensions of various deterministic and stochastic sets, such as Bedford-McMullen sets and self-affine Fractal Percolation Clusters. I will show that the Brownian graph is minimal, i.e. its conformal dimension is equal to 3/2, its Hausdorff dimension.

The talk is based on joint works with Hrant Hakobyan (Kansas State) and Wenbo Li (Toronto).