E. Bailey

collaborators

3 papers

math.PR2021

Evidence of Random Matrix Corrections for the Large Deviations of Selberg's Central Limit Theorem

Eli Amzallag, Louis-Pierre Arguin, Emma Bailey +2

Selberg's central limit theorem states that the values of $lo g ∣ ζ (1/2 + i τ) ∣$ , where $τ$ is a uniform random variable on $[T, 2 T]$ , is distributed like a Gaussian random variable of…

math-ph2020

Moments of Moments and Branching Random Walks

E. C. Bailey, J. P. Keating

We calculate, for a branching random walk $X_{n} (l)$ to a leaf $l$ at depth $n$ on a binary tree, the positive integer moments of the random variable $\frac{1}{2^{n}}\sum_{l=1}^{2^n}…

math.NT2020

On the moments of the moments of $ζ (1/2 + i t)$

E. C. Bailey, J. P. Keating

Taking $t$ at random, uniformly from $[0, T]$ , we consider the $k$ th moment, with respect to $t$ , of the random variable corresponding to the $2 β$ th moment of $ζ (1/2 + i x)$ over the i…

Evidence of Random Matrix Corrections for the Large Deviations of Selberg's Central Limit Theorem

Moments of Moments and Branching Random Walks

On the moments of the moments of ζ(1/2+it)

On the moments of the moments of $ζ (1/2 + i t)$