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math.PR2026
Shifted Anticoncentration for Real Gram Hafnians and Symmetric Gaussian Hafnians
Hongru Zhao
We prove a uniform shifted anticoncentration theorem for the hafnian of a real Gaussian Gram matrix under an explicit condition on the row dimension. After normalization by its roo…
math.PR2026
Sharp Berry-Esseen Bounds for the Log Determinant of a Gaussian Sample Correlation Matrix
Hongru Zhao
Let be the Pearson sample correlation matrix formed from independent Gaussian observations in dimensions, and write . Under the null correlation $R…