Dimension classification attempts to answer the follow question: given a parametrized family of dimensions \(\{D_\tau\}_{\tau\in\mathcal{T}}\), what are the possible functions \(\tau\mapsto D_\tau(E)\) for (say) subsets \(E\subset\mathbb{R}^d\)? This problem is most interesting for continuously parametrized families of dimensions, such as the Assouad or the lower spectrum. I will give an overview of some recent classification results from the reference point of branching functions, which capture dimensional properties of a set as a function of scale.
Monday, April 20, 2026
10:05–10:55 am (CEST), room 207 in Building H, BME.
Usual place: Budapest University of Technology and Economics (H-1111 Budapest, Műegyetem rkp 3, Hungary),
Building H, 2-nd floor 207 and Zoom.
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