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A short proof of Helson's conjecture (2025)
Journal Article
Gorodetsky, O., & Wong, M. D. (online). A short proof of Helson's conjecture. Bulletin of the London Mathematical Society, https://doi.org/10.1112/blms.70015

Let α : N → S 1 $\alpha \colon \mathbb {N}\rightarrow S^1$ be the Steinhaus multiplicative function: a completely multiplicative function such that ( α ( p ) ) p prime $(\alpha (p))_{p\text{ prime}}$ are i.i.d. random variables uniformly distributed... Read More about A short proof of Helson's conjecture.

Fusion asymptotics for Liouville correlation functions (2024)
Journal Article
Baverez, G., & Wong, M. D. (in press). Fusion asymptotics for Liouville correlation functions. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques,

In [DKRV17a], David-Kupiainen-Rhodes-Vargas introduced a probabilistic framework based on the Gaussian Free Field and Gaussian Multiplicative Chaos in order to make sense rigorously of the path integral approach to Liouville Conformal Field Theory (L... Read More about Fusion asymptotics for Liouville correlation functions.

Asymptotics of Hankel determinants with a multi-cut regular potential and Fisher-Hartwig singularities (2023)
Journal Article
Charlier, C., Fahs, B., Webb, C., & Wong, M. D. (in press). Asymptotics of Hankel determinants with a multi-cut regular potential and Fisher-Hartwig singularities. Memoirs of the American Mathematical Society,

We obtain large $N$ asymptotics for $N \times N$ Hankel determinants corresponding to non-negative symbols with Fisher-Hartwig (FH) singularities in the multi-cut regime. Our result includes the explicit computation of the multiplicative constant. Mo... Read More about Asymptotics of Hankel determinants with a multi-cut regular potential and Fisher-Hartwig singularities.

On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective (2022)
Journal Article
Keating, J. P., & Wong, M. D. (2022). On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective. Communications in Mathematical Physics, 394(3), 1247-1301. https://doi.org/10.1007/s00220-022-04429-3

We study the ‘critical moments’ of subcritical Gaussian multiplicative chaos (GMCs) in dimensions d≤2. In particular, we establish a fully explicit formula for the leading order asymptotics, which is closely related to large deviation results for GMC... Read More about On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective.