Guangyu Yang

collaborators

3 papers

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 $I^¸ \in (0, 1)$ , and let $L_{n}$ be the least common multiple of the…

math.PR2026

CramÃ©r-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 CramÃ©r-type moderate deviation expansion for $(\l…

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…