3 papers
math.CO2026
Cutting a Pancake with an Exotic Knife
David O. H. Cutler, Jonas Karlsson, Neil J. A. Sloane
In the first chapter of their classic book "Concrete Mathematics", Graham, Knuth, and Patashnik consider the maximum number of pieces that can be obtained from a pancake by making…
math.MG2025
On valuation deviations and their geometry
David Owen Horace Cutler, Mel Deaton
We introduce two valuation-based deviations on convex bodies. Using a construction that allows us to associate to these deviations "intrinsic" pseudometrics, we establish various r…
math.CV2024
The Hausdorff distance and metrics on toric singularity types
Ayo Aitokhuehi, Benjamin Braiman, David Owen Horace Cutler +6
Given a compact Kähler manifold , due to the work of Darvas-Di Nezza-Lu, the space of singularity types of -psh functions admits a natural pseudo-metric …