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math.PR2019★ 13 cited
The lower tail of the half-space KPZ equation
Yujin H. Kim
We establish the first tight bound on the lower tail probability of the half-space KPZ equation with Neumann boundary parameter and narrow-wedge initial data. When the t…
math.NT2019★ 2 cited
A Refined Conjecture for the Variance of Gaussian Primes Across Sectors
Ryan C. Chen, Yujin H. Kim, Jared D. Lichtman +6
We derive a refined conjecture for the variance of Gaussian primes across sectors, with a power saving error term, by applying the L-functions Ratios Conjecture. We observe a bifur…