3 papers
math.MG2025
Metrics from valuations on convex bodies
David Owen Horace Cutler, Mel Deaton
We associate to each valuation on a pseudometric , generalizing the classical symmetric difference and mean width metrics. Broad criteria are given under w…
math.CO2025
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.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 th…