3 papers
math.DG2025
Ancient Gauss Curvature Flows of Bounded Width
Beomjun Choi, Kyeongsu Choi, Dongjun Noh
In this paper, we construct a pancake-like ancient compact solution with flat sides to the Gauss curvature flow, contained in a slab. Also, we construct sausage-like ancient compac…
math.AP2024
Monge-Ampère equations with right-hand sides of polynomial growth
Beomjun Choi, Kyeongsu Choi, Soojung Kim
We study the regularity and the growth rates of solutions to two-dimensional Monge-Ampère equations with the right-hand side exhibiting polynomial growth. Utilizing this analysis,…
math.PR2018
Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems
Diego Armentano, Jean-Marc Azaïs, Federico Dalmao +1
We obtain a Central Limit Theorem for the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size as the degree goes to infinity. A stud…