10 citations · 24 across the 8 of their papers we have counts for
8 papers
Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function
Louis-Pierre Arguin, Emma Bailey, Asher Roberts
Assuming the Riemann Hypothesis, we show that for $$ \frac{1}{T}\text{meas}\Big\{t\in [T,2T]:|ζ(1/2+{\rm i} t)|>(\log T)^k\Big\}\leq C_k \frac{(\log T)^{-k^2}}{\sqrt{\log\log…
Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem
Louis-Pierre Arguin, Emma Bailey
Let and . We prove that, for any and as , $\frac{1}{T}\text{meas}\big\{t\in [T,2T]: \log|ζ(σ+\rm{i} τ)|>…
Large Deviation Estimates of Selberg's Central Limit Theorem and Applications
Louis-Pierre Arguin, Emma Bailey
For with , we prove \[ \frac{1}{T}\text{meas}\{t\in [T,2T]: \log|ζ(1/2+ {\rm i} t)|>V\}\ll \frac{1}{\sqrt{\log\log T}} e^{-V^2/\log\log T}. \] This impro…
Maxima of log-correlated fields: some recent developments
E. C. Bailey, J. P. Keating
We review recent progress relating to the extreme value statistics of the characteristic polynomials of random matrices associated with the classical compact groups, and of the Rie…
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 , where is a uniform random variable on , is distributed like a Gaussian random variable of…
Moments of Moments and Branching Random Walks
E. C. Bailey, J. P. Keating
We calculate, for a branching random walk to a leaf at depth on a binary tree, the positive integer moments of the random variable $\frac{1}{2^{n}}\sum_{l=1}^{2^n}…
On the moments of the moments of
E. C. Bailey, J. P. Keating
Taking at random, uniformly from , we consider the th moment, with respect to , of the random variable corresponding to the th moment of over the i…
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices
T. Assiotis, E. C. Bailey, J. P. Keating
We establish formulae for the moments of the moments of the characteristic polynomials of random orthogonal and symplectic matrices in terms of certain lattice point count problems…