B. Firester

activity

20202026

most citedImpact Hamiltonian systems and polygonal billiards

2 citations · 2 across the 12 of their papers we have counts for

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Showing 2025Show all

3 papers · 1 filter

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…

math.DG2025

Uniqueness of Cylindrical Tangent Cones $C_{p, q} \times R$

Benjy Firester, Raphael Tsiamis, Yipeng Wang

We show the uniqueness of the cylindrical tangent cone $C (S^{2} \times S^{4}) \times R$ for area-minimizing hypersurfaces in $R^{9}$ , completing the u…

Homogeneous optimal transport maps between oblique cones

On a general class of free boundary Monge-Ampère equations

Uniqueness of Cylindrical Tangent Cones Cp,q​×R

Uniqueness of Cylindrical Tangent Cones $C_{p, q} \times R$