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math.PR2026
A Linear Variance Bound for Ballistic Deposition
Timothy Sudijono
We show the height at time of the standard continuous-time ballistic deposition process has variance at most in every dimension . The crucial idea i…
math.PR2023
Fluctuation Bounds for the Restricted Solid-on-Solid Model of Surface Growth
Timothy Sudijono
The restricted solid-on-solid (RSOS) model is a model of continuous-time surface growth characterized by the constraint that adjacent height differences are bounded by a fixed cons…