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math.MG2026
Universal Ahlfors--David regularity of Steiner trees
Danila Cherkashin, Pavel Prozorov, Yana Teplitskaya
The celebrated Steiner tree problem is the problem of finding a set of minimum one-dimensional Hausdorff measure (length) such that is connected, whe…
math.MG2025
On branching points in the Gilbert-Steiner problem
Danila Cherkashin
The Gilbert--Steiner problem is a generalization of the Steiner tree problem and specific optimal mass transportation, which allows the use additional (branching) point in a transp…
math.MG2021
Maximal distance minimizers for a rectangle
D. D. Cherkashin, A. S. Gordeev, G. A. Strukov +1
\emph{A maximal distance minimizer} for a given compact set and some given is a set having the minimal length (one-dimensional Hausdorff measure) o…