---
res:
bibo_abstract:
- "We consider a model of the Riemann zeta function on the critical axis and study
its maximum over intervals of length (log T)θ, where θ is either fixed or tends
to zero at a suitable rate.\r\nIt is shown that the deterministic level of the
maximum interpolates smoothly between the ones\r\nof log-correlated variables
and of i.i.d. random variables, exhibiting a smooth transition ‘from\r\n3/4 to
1/4’ in the second order. This provides a natural context where extreme value
statistics of\r\nlog-correlated variables with time-dependent variance and rate
occur. A key ingredient of the\r\nproof is a precise upper tail tightness estimate
for the maximum of the model on intervals of\r\nsize one, that includes a Gaussian
correction. This correction is expected to be present for the\r\nRiemann zeta
function and pertains to the question of the correct order of the maximum of\r\nthe
zeta function in large intervals.@eng"
bibo_authorlist:
- foaf_Person:
foaf_givenName: Louis-Pierre
foaf_name: Arguin, Louis-Pierre
foaf_surname: Arguin
- foaf_Person:
foaf_givenName: Guillaume
foaf_name: Dubach, Guillaume
foaf_surname: Dubach
foaf_workInfoHomepage: http://www.librecat.org/personId=D5C6A458-10C4-11EA-ABF4-A4B43DDC885E
orcid: 0000-0001-6892-8137
- foaf_Person:
foaf_givenName: Lisa
foaf_name: Hartung, Lisa
foaf_surname: Hartung
bibo_doi: 10.48550/arXiv.2103.04817
dct_date: 2021^xs_gYear
dct_language: eng
dct_title: Maxima of a random model of the Riemann zeta function over intervals
of varying length@
...