13 pages, 4 figures. Prepared on behalf of the participants in the Clay Mathematics Institute Summer School on the Global Theory of Minimal Surfaces, held at the Mathematical Sciences Research Institute in Berkeley, California, Summer 200113 pages, 4 figures. Prepared on behalf of the participants in the Clay Mathematics Institute Summer School on the Global Theory of Minimal Surfaces, held at the Mathematical Sciences Research Institute in Berkeley, California, Summer 200113 pages, 4 figures. Prepared on behalf of the participants in the Clay Mathematics Institute Summer School on the Global Theory of Minimal Surfaces, held at the Mathematical Sciences Research Institute in Berkeley, California, Summer 200113 pages, 4 figures. Prepared on ...
123 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.We prove the planar triple bu...
We characterize the critical points of the double bubble problem in $\mathbb{R}^n$ and the triple bu...
A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that p...
We prove that the standard double bubble provides the least-area way to enclose and separate two reg...
We present a conjecture, based on computational results, on the area minimizing way to encl...
The least-area hypersurface enclosing and separating two given volumes in R^n is the standard double...
An area minimizing double bubble in $\mathbb R^n$ is given by two (not necessarily connected) region...
ABSTRACT. An area minimizing double bubble in R n is given by two (not necessarily connected) region...
We prove the double bubble conjecture in the three-sphere S3 and hyperbolic three-space H3 in the ca...
The classical isoperimetric inequality in R 3 states that the surface of smallest area enclosing a...
In 2008 Reichardt proved that the optimal Euclidean double bubble---the least-perimeter way to enclo...
Abstract. The classical isoperimetric inequality states that the surface of smallest area enclosing ...
We prove that the standard double bubble is the least-area way to enclose and separate two regions o...
In this paper, we investigate some properties of planar soap bubbles on a straight wall with a singl...
We prove that the standard double bubble is the minimizing double bubble in R4 and in certain higher...
123 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.We prove the planar triple bu...
We characterize the critical points of the double bubble problem in $\mathbb{R}^n$ and the triple bu...
A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that p...
We prove that the standard double bubble provides the least-area way to enclose and separate two reg...
We present a conjecture, based on computational results, on the area minimizing way to encl...
The least-area hypersurface enclosing and separating two given volumes in R^n is the standard double...
An area minimizing double bubble in $\mathbb R^n$ is given by two (not necessarily connected) region...
ABSTRACT. An area minimizing double bubble in R n is given by two (not necessarily connected) region...
We prove the double bubble conjecture in the three-sphere S3 and hyperbolic three-space H3 in the ca...
The classical isoperimetric inequality in R 3 states that the surface of smallest area enclosing a...
In 2008 Reichardt proved that the optimal Euclidean double bubble---the least-perimeter way to enclo...
Abstract. The classical isoperimetric inequality states that the surface of smallest area enclosing ...
We prove that the standard double bubble is the least-area way to enclose and separate two regions o...
In this paper, we investigate some properties of planar soap bubbles on a straight wall with a singl...
We prove that the standard double bubble is the minimizing double bubble in R4 and in certain higher...
123 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.We prove the planar triple bu...
We characterize the critical points of the double bubble problem in $\mathbb{R}^n$ and the triple bu...
A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that p...