Double bubbles in Gauss space and spheres

J. Corneli; I. Corwin; S. Hurder; V. Sesum; Y. Xu; E. Adams; D. Davis; M. Lee; R. Visocchi; N. Hoffman; Robert M. Hardt

Double bubbles in Gauss space and spheres

J. Corneli^*, I. Corwin, S. Hurder, V. Sesum, Y. Xu, E. Adams, D. Davis, M. Lee, R. Visocchi, N. Hoffman, Robert M. Hardt

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We prove that a standard Y is an area-minimizing partition of Gauss space into three given volumes, provided that the standard double bubble is an area-minimizing partition of high-dimensional spheres. We prove that the standard double bubble is the area-minimizing partition of spheres of any dimension where the volumes differ by at most 4%.

Original language	English (US)
Pages (from-to)	181-204
Number of pages	24
Journal	Houston Journal of Mathematics
Volume	34
Issue number	1
State	Published - 2008
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Double bubbles in Gauss space and spheres",

abstract = "We prove that a standard Y is an area-minimizing partition of Gauss space into three given volumes, provided that the standard double bubble is an area-minimizing partition of high-dimensional spheres. We prove that the standard double bubble is the area-minimizing partition of spheres of any dimension where the volumes differ by at most 4%.",

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T1 - Double bubbles in Gauss space and spheres

AU - Corneli, J.

AU - Corwin, I.

AU - Hurder, S.

AU - Sesum, V.

AU - Xu, Y.

AU - Adams, E.

AU - Davis, D.

AU - Lee, M.

AU - Visocchi, R.

AU - Hoffman, N.

AU - Hardt, Robert M.

PY - 2008

Y1 - 2008

N2 - We prove that a standard Y is an area-minimizing partition of Gauss space into three given volumes, provided that the standard double bubble is an area-minimizing partition of high-dimensional spheres. We prove that the standard double bubble is the area-minimizing partition of spheres of any dimension where the volumes differ by at most 4%.

AB - We prove that a standard Y is an area-minimizing partition of Gauss space into three given volumes, provided that the standard double bubble is an area-minimizing partition of high-dimensional spheres. We prove that the standard double bubble is the area-minimizing partition of spheres of any dimension where the volumes differ by at most 4%.

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M3 - Article

AN - SCOPUS:43649095275

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JF - Houston Journal of Mathematics

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Double bubbles in Gauss space and spheres

Abstract

ASJC Scopus subject areas

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