L. Giosia

most citedBalls Isoperimetric in

R^{n}

with Volume and Perimeter Densities

r^{m}

and

r^{k}

5 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.MG2019★ 2 cited

Optimal monohedral tilings of hyperbolic surfaces

Leonardo Di Giosia, Jahangir Habib, Jack Hirsch +6

The hexagon is the least-perimeter tile in the Euclidean plane for any given area. On hyperbolic surfaces, this "isoperimetric" problem differs for every given area, as solutions d…

math.MG2016★ 1 cited

The Log Convex Density Conjecture in Hyperbolic Space

Leonardo Di Giosia, Jahangir Habib, Lea Kenigsberg +2

The isoperimetric problem with a density or weighting seeks to enclose prescribed weighted area with minimum weighted perimeter. According to Chambers' recent proof of the Log Conv…

math.MG2016★ 5 cited

Balls Isoperimetric in $R^{n}$ with Volume and Perimeter Densities $r^{m}$ and $r^{k}$

Leonardo Di Giosia, Jahangir Habib, Lea Kenigsberg +2

We have discovered a "little" gap in our proof of the sharp conjecture that in $R^{n}$ with volume and perimeter densities $r^{m}$ and $r^{k}$ , balls about the origin are unique…

Optimal monohedral tilings of hyperbolic surfaces

The Log Convex Density Conjecture in Hyperbolic Space

Balls Isoperimetric in Rn with Volume and Perimeter Densities rm and rk

Balls Isoperimetric in $R^{n}$ with Volume and Perimeter Densities $r^{m}$ and $r^{k}$