2 citations · 2 across the 12 of their papers we have counts for
Showing 2025 · math.APShow all
2 papers · 2 filters
math.AP2025
Homogeneous optimal transport maps between oblique cones
Tristan C. Collins, Benjy Firester, Freid Tong
We construct homogeneous optimal transport maps for the quadratic cost between convex cones with homogeneous, possibly degenerate, densities when the cones satisfy an obliqueness c…
math.AP2025
On a general class of free boundary Monge-Ampère equations
Tristan C. Collins, Benjy Firester
We solve a general class of free boundary Monge-Ampère equations given by \[ \det D^2u = λ\dfrac{f(-u)}{g(u^\star)h(\nabla u)}χ_{\{u<0\}} \; \text{ in } \mathbb{R}^n, \quad \nabla…