Author

Xiao-Lin Wang

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Preprint Oct 2026

A quantitative CLT for the zeros of random trigonometric polynomials

Let $X_N(t)$, $t\in[0,\pi]$, be a stationary Gaussian trigonometric polynomial, and let $\mathcal Z_N$ denote the number of zeros of the rescaled process $X_N(t/N)$ on $[0,N\pi]$. We establish the quantitative central limit theorem \[ d_{\mathrm W}\left( \frac{\mathcal Z_N-\mathbb E[\mathcal Z_N]} {\sqrt{\operatorname{...

Ao Huang, Zhong-Gen Su, Xiao-Lin Wang · 0 citations

Preprint Sep 2026

Mixing Time of Conditional Two Star Exponential Random Graphs

Two star exponential random graph models (ERGMs) are an interesting special case of both general ERGMs and mean-field Ising models. In this paper, we study two star ERGMs conditioning on the edge density $p$. We begin with an analytic characterization of the replica symmetric region, where the conditional model is clos...

Xiao Fang, Song-Hao Liu, Xiao-Lin Wang · 0 citations