Nat Sothanaphan

activity

20182026

most citedResolution of Erdős Problem #728: a writeup of Aristotle's Lean proof

1 citations · 1 across the 3 of their papers we have counts for

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math.MG2025

An improved lower bound to Erdos' problem concerning products of distances for fixed diameter

Nat Sothanaphan

Erdos, Herzog and Piranian asked whether, for $n$ points in the plane with fixed diameter (maximum distance between points), an arrangement of a regular $n$ -gon maximizes their pro…

math.MG2018

Double Bubbles on the Line with Log-convex Density $f$ with $(lo g f)^{'}$ Bounded

Nat Sothanaphan

We extend results of Bongiovanni et al. on double bubbles on the line with log-convex density to the case where the derivative of the log of the density is bounded. We show that th…

math.MG2018

1D Triple Bubble Problem with Log-Convex Density

Nat Sothanaphan

We prove that for a symmetric, strictly log-convex density on the real line, there are four possible types of perimeter-minimizing triple bubbles. This extends the work of Bongiova…

An improved lower bound to Erdos' problem concerning products of distances for fixed diameter

Double Bubbles on the Line with Log-convex Density f with (logf)′ Bounded

1D Triple Bubble Problem with Log-Convex Density

Double Bubbles on the Line with Log-convex Density $f$ with $(lo g f)^{'}$ Bounded