Double bubbles in Gauss space and spheres

Joseph Corneli; Ivan  Corwin; Stephanie  Hurder; Vojislav  Sesum; Ya  Xu; Elizabeth Adams; Diana  Davis; Michelle  Lee; Regina Pettit; Neil Hoffman

Double bubbles in Gauss space and spheres

Joseph Corneli, Ivan Corwin, Stephanie Hurder, Vojislav Sesum, Ya Xu, Elizabeth Adams, Diana Davis, Michelle Lee, Regina Pettit, Neil Hoffman

School of Informatics

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

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
Pages (from-to)	181-204
Number of pages	24
Journal	Houston Journal of Mathematics
Publication status	Published - 2008

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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%.",

author = "Joseph Corneli and Ivan Corwin and Stephanie Hurder and Vojislav Sesum and Ya Xu and Elizabeth Adams and Diana Davis and Michelle Lee and Regina Pettit and Neil Hoffman",

year = "2008",

language = "English",

pages = "181--204",

journal = "Houston Journal of Mathematics",

issn = "0362-1588",

publisher = "University of Houston",

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T1 - Double bubbles in Gauss space and spheres

AU - Corneli, Joseph

AU - Corwin, Ivan

AU - Hurder, Stephanie

AU - Sesum, Vojislav

AU - Xu, Ya

AU - Adams, Elizabeth

AU - Davis, Diana

AU - Lee, Michelle

AU - Pettit, Regina

AU - Hoffman, Neil

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%.

M3 - Article

SN - 0362-1588

SP - 181

EP - 204

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

ER -

Double bubbles in Gauss space and spheres

Abstract

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