Mo Dick Wong

collaborators

6 papers

math.PR2026

Scaling limits of critical FK-decorated random planar maps with $q = 4$

William Da Silva, Xingjian Hu, Ellen Powell +1

We establish the first scaling limit for FK( $q$ )-weighted planar maps in the critical case $q = 4$ , resolving a problem that has remained open since Sheffield's seminal work arXiv:11…

math.PR2025

Fluctuations for diameter and perimeter of convex hulls of multiple random walks

Wojciech Cygan, Tomislav Kralj, Nikola SandriÄ +3

We study the diameter and perimeter of the convex hull generated by finitely many independent planar random walks whose increments have finite second moments. The large-time fluctu…

math.NT2025

On the limiting distribution of sums of random multiplicative functions

Ofir Gorodetsky, Mo Dick Wong

We establish the limiting distribution of $\frac{( l o g l o g x ) ^{1/4}}{x} \sum_{n \leq x} I^\pm (n)$ where $I^\pm$ is a Steinhaus random multiplicative function, answering a question…

math.NT2025

Multiplicative chaos measure for multiplicative functions: the $L^{1}$ -regime

Ofir Gorodetsky, Mo Dick Wong

Let $I^\pm$ be a Steinhaus random multiplicative function. For a wide class of multiplicative functions $f$ we construct a multiplicative chaos measure arising from the Dirichlet seri…

math-ph2025

Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model

Nikolay Barashkov, Joona Oikarinen, Mo Dick Wong

We prove a global decomposition result for $lo g$ -correlated Gaussian fields on the $d$ -dimensional torus and use this to derive new small deviations bounds for a class of Gaussian…

math.NT2025

A short proof of Helson's conjecture

Ofir Gorodetsky, Mo Dick Wong

Let $I^\pm : N \to S^{1}$ be the Steinhaus multiplicative function: a completely multiplicative function such that $(I^\pm (p))_{p prime}$ are i.i.d.~random variables un…

Scaling limits of critical FK-decorated random planar maps with q=4

Fluctuations for diameter and perimeter of convex hulls of multiple random walks

On the limiting distribution of sums of random multiplicative functions

Multiplicative chaos measure for multiplicative functions: the L1-regime

Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model

A short proof of Helson's conjecture

Scaling limits of critical FK-decorated random planar maps with $q = 4$

Multiplicative chaos measure for multiplicative functions: the $L^{1}$ -regime