Associate Professor, IMI BAS

Email: jiocb AT math.bas.bg

Here are listed only my papers having a connection with CVGMT (namely, with Steiner and Gilbert--Steiner problems). For a complete list see \href{https://scholar.google.com/citations?user=M6MTEbQAAAAJ&hl=ru}{Google scholar}

Home-page: http://www.moi.math.bas.bg/moiuser/~jiocb/

arxiv id: cherkashin_d_1

Available papers (9):

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• D. Cherkashin - P. Prozorov - Y. Teplitskaya (Submitted Paper)
  Universal Ahlfors--David regularity of Steiner trees (2026)
• D. Cherkashin - E. Paolini - Y. Teplitskaya (Journal of Combinatorial Optimization)
  Steiner trees with infinitely many terminals on the sides of an angle (2025)
• D. Cherkashin - F. Petrov (Pure and Applied Functional Analysis)
  Branching points in the planar Gilbert--Steiner problem have degree 3 (2025)
• D. Cherkashin (Accepted Paper: Journal of Convex Analysis)
  On branching points in the Gilbert-Steiner problem (2025)
• M. Basok - D. Cherkashin - N. Rastegaev - Y. Teplitskaya (International Mathematics Research Notices)
  On uniqueness in Steiner problem (2024)
• D. Cherkashin - Y. Teplitskaya (Serdica Journal of Computing)
  An overview of maximal distance minimizers problem (2024)
• D. Cherkashin - Y. Teplitskaya (Fractal and Fractional)
  A self-similar infinite binary tree is a solution of Steiner problem (2023)
• D. Cherkashin - Y. Teplitskaya - M. Basok (preprint)
  Inverse maximal distance minimizer problem in a finite setup (2022)
• D. Cherkashin - Y. Teplitskaya (ESAIM: COCV)
  On the horseshoe conjecture for maximal distance minimizers (2015)

Organizer:

• 6 jul 2026 - 10 jul 2026: Mini symposium on Length Optimization