1 citations · 3 across the 8 of their papers we have counts for
9 papers
Low moments of Hecke eigenvalue sums
Jad Hamdan, Sun-Kai Leung, Mo Dick Wong
We show that partial sums of the Sato--Tate random multiplicative functions introduced by Cogdell and Michel exhibit better-than-square-root cancellation. The proof proceeds via a…
Scaling limits of critical FK-decorated random planar maps with
William Da Silva, Xingjian Hu, Ellen Powell +1
We establish the first scaling limit for FK()-weighted planar maps in the critical case , resolving a problem that has remained open since Sheffield's seminal work arXiv:11…
On the limiting distribution of sums of random multiplicative functions
Ofir Gorodetsky, Mo Dick Wong
We establish the limiting distribution of where is a Steinhaus random multiplicative function, answering a question o…
Fluctuations for diameter and perimeter of convex hulls of multiple random walks
Wojciech Cygan, Tomislav Kralj, Nikola Sandrić +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…
Multiplicative chaos measure for multiplicative functions: the -regime
Ofir Gorodetsky, Mo Dick Wong
Let be a Steinhaus random multiplicative function. For a wide class of multiplicative functions we construct a multiplicative chaos measure arising from the Dirichlet serie…
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 -correlated Gaussian fields on the -dimensional torus and use this to derive new small deviations bounds for a class of Gaussian…
Martingale central limit theorem for random multiplicative functions
Ofir Gorodetsky, Mo Dick Wong
Let be a Steinhaus or a Rademacher random multiplicative function. For a wide class of multiplicative functions we show that the sum , normalised t…
A short proof of Helson's conjecture
Ofir Gorodetsky, Mo Dick Wong
Let be the Steinhaus multiplicative function: a completely multiplicative function such that are i.i.d.~random variables unif…
On Erdős sums of almost primes
Ofir Gorodetsky, Jared Duker Lichtman, Mo Dick Wong
In 1935, Erdős proved that the sums , over integers with exactly prime factors, are bounded by an absolute constant, and in 1993 Zhang proved that $…