Calculus of Variations and Geometric Measure Theory

on the Steiner tree connecting a fractal set

Emanuele Paolini (Università di Pisa)

created by paolini on 09 Nov 2026

2 jun 2023 — 10:00   [open in google calendar]

Brixen (Bressanone)

Abstract.

We will see an example of a planar embedded infinite self-similar binary tree which is the unique solution to the Steiner problem of finding the shortest connection of a given planar self-simialr fractal set of positive Hausdorff dimension.

Work in collaboration with Eugene Stepanov. Extends the results of Cherkashin and Teplitskaya (arXiv.org 2302.02189)