Guangyu Yang

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math.PR2026

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

Shaochen Wang, Guangyu Yang

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…

math.PR2026

Functional Limit Theorems for Random Least Common Multiples

Shaochen Wang, Guangyu Yang, Wang Zhou

Let $A_{n}$ be a subset of ${1, 2, \dots, n}$ obtained by retaining each integer independently with fixed probability $θ \in (0, 1)$ , and let $L_{n}$ be the least common multiple of the i…

math.PR2026

Cramér-Type Moderate Deviations for Engel's Series via a Martingale Approach

Shaochen Wang, Guangyu Yang

Let $x$ be uniformly distributed on $(0, 1)$ , and let $(q_{n})_{n \geq 1}$ be the digits of its Engel series expansion. We establish a Cramér-type moderate deviation expansion for $(\lo…

math.PR2026

Moderate deviations for the Maki--Thompson rumour model

Shaochen Wang, Guangyu Yang

The final proportion of ignorants in the classical Maki--Thompson rumour model is known to satisfy the law of large numbers, the central limit theorem, and the large deviation prin…