Corpus ID: 119310733

The Gaussian Double-Bubble Conjecture

@article{Milman2018TheGD,
  title={The Gaussian Double-Bubble Conjecture},
  author={E. Milman and Joe Neeman},
  journal={arXiv: Functional Analysis},
  year={2018}
}
  • E. Milman, Joe Neeman
  • Published 2018
  • Mathematics
  • arXiv: Functional Analysis
  • We establish the Gaussian Double-Bubble Conjecture: the least Gaussian-weighted perimeter way to decompose $\mathbb{R}^n$ into three cells of prescribed (positive) Gaussian measure is to use a tripod-cluster, whose interfaces consist of three half-hyperplanes meeting along an $(n-2)$-dimensional plane at $120^{\circ}$ angles (forming a tripod or "Y" shape in the plane). Moreover, we prove that tripod-clusters are the unique isoperimetric minimizers (up to null-sets). 
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