Author

Shao-Chen Wang

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Preprint Aug 2026

Moderate Deviations for the Largest Eigenvalue of a Randomly Deformed Gaussian Unitary Ensemble

We study moderate deviations for the largest eigenvalue of the randomly deformed Gaussian unitary ensemble introduced by Johansson (Probab. Theory Relat. Fields, {\bf 138}: 75--112, 2007). In the fixed-coupling regime, the rescaled largest eigenvalue converges to the convolution of the Tracy--Widom law and a Gaussian l...

Shao-Chen Wang, Guangyu Yang · 0 citations

Preprint Jul 2026

Functional Limit Theorems for Random Least Common Multiples

Let $A_n$ be a subset of $\{1,2,\ldots,n\}$ obtained by retaining each integer independently with fixed probability $\theta\in(0,1)$, and let $L_n$ be the least common multiple of the integers in $A_n$. We prove a functional large deviation principle, a functional moderate deviation principle, and a Strassen-type funct...

Shao-Chen Wang, Guangyu Yang, Wang Zhou · 0 citations