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math-ph2024
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…
math.NT2024★ 1 cited
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…
math.NT2024★ 1 cited
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…