3 papers
math.DG2026
Dynamical stability of various convex graphical translators
Junyoung Park
In the first part of the paper, we prove the existence of longtime solution to mean curvature flow starting from a graph of a continuous function defined over a slab. Then, we esta…
math.DG2025
Generalized Harnack Inequality for Mean Curvature Flow and Ancient Solutions
Junyoung Park
The goal of this paper is to relax convexity assumption on some classical results in mean curvature flow. In the first half of the paper, we prove a generalized version of Hamilton…
stat.ME2025
Beyond fixed thresholds: optimizing summaries of wearable device data via piecewise linearization of quantile functions
Junyoung Park, Neo Kok, Irina Gaynanova
Wearable devices, such as actigraphy monitors and continuous glucose monitors (CGMs), capture high-frequency data, which are often summarized by the percentages of time spent withi…