An elementary proof for the double bubble problem in \(\ell^1\) norm
From MaRDI portal
Publication:2105913
DOI10.1007/s12220-022-01008-9zbMath1504.49056arXiv2008.07767OpenAlexW3066766354MaRDI QIDQ2105913
Rory O'Dwyer, Eviatar B. Procaccia, Parker Duncan
Publication date: 8 December 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07767
Minimal surfaces and optimization (49Q05) Variational problems in a geometric measure-theoretic setting (49Q20)
Related Items
The double-bubble problem on the square lattice, A proof of finite crystallization via stratification, Discrete \(\ell^1\) double bubble solution is at most ceiling plus two of the continuous solution
Cites Work
- Unnamed Item
- Unnamed Item
- The standard double soap bubble in \(\mathbb{R}^ 2\) uniquely minimizes perimeter
- The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
- Wulff clusters in \(\mathbb{R}^2\)
- Proof of the double bubble conjecture
- The Wulff crystal in Ising and percolation models. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004
- Isoperimetry in Two-Dimensional Percolation
- Rigorous probabilistic analysis of equilibrium crystal shapes