1 citations · 2 across the 5 of their papers we have counts for
5 papers
Isoperimetric 3- and 4-bubble results on with density
Evan Alexander, Emily Burns, John Ross +2
We study the isoperimetric problem on with a prescribed density function . Under these conditions, we find that isoperimetric -bubble and -bubble r…
Solution to the isoperimetric -bubble problem on with log-concave density
John Ross
We study the isoperimetric problem on with a prescribed density function that affects how area and perimeter are measured. We examine density functions that are…
On the Existence of a Closed, Embedded, Rotational -Hypersurface
John Ross
In this paper we show the existence of a closed, embedded -hypersurfaces . The hypersurface is diffeomorhic to $\mathbb{S}^{n-1} \times \mathbb{S}^{n-1…
The Hyperplane is the Only Stable, Smooth Solution to the Isoperimetric Problem in Gaussian Space
Matthew McGonagle, John Ross
We study stable smooth solutions to the isoperimetric type problem for a Gaussian weight on Euclidean Space. That is, we study hypersurfaces that are…
An inequality between multipoint Seshadri constants
J. Roé, J. Ross
Let X be a projective variety of dimension n and L be a nef divisor on X. Denote by e_d(r;X,L) the d-dimensional Seshadri constant of r very general points in X. We prove that e_d(…