Maxima of log-correlated fields: Some recent developments
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 Riemann zeta-function and other L-functions, in the context of the general theory of logarithmically correlated Gaussian fi...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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IOP Publishing
2022
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| _version_ | 1797087590266961920 |
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| author | Bailey, EC Keating, J |
| author_facet | Bailey, EC Keating, J |
| author_sort | Bailey, EC |
| collection | OXFORD |
| description | 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 Riemann zeta-function and other L-functions, in the context of the general theory of logarithmically correlated Gaussian fields. In particular, we focus on developments related to the conjectures of Fyodorov & Keating concerning the extreme value statistics, moments of moments, connections to Gaussian Multiplicative Chaos, and explicit formulae derived from the theory of symmetric functions. |
| first_indexed | 2024-03-07T02:37:48Z |
| format | Journal article |
| id | oxford-uuid:a9601c0f-4d66-42cb-a078-33c2749f652b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T02:37:48Z |
| publishDate | 2022 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:a9601c0f-4d66-42cb-a078-33c2749f652b2022-03-27T03:08:12ZMaxima of log-correlated fields: Some recent developmentsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a9601c0f-4d66-42cb-a078-33c2749f652bEnglishSymplectic ElementsIOP Publishing2022Bailey, ECKeating, JWe 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 Riemann zeta-function and other L-functions, in the context of the general theory of logarithmically correlated Gaussian fields. In particular, we focus on developments related to the conjectures of Fyodorov & Keating concerning the extreme value statistics, moments of moments, connections to Gaussian Multiplicative Chaos, and explicit formulae derived from the theory of symmetric functions. |
| spellingShingle | Bailey, EC Keating, J Maxima of log-correlated fields: Some recent developments |
| title | Maxima of log-correlated fields: Some recent developments |
| title_full | Maxima of log-correlated fields: Some recent developments |
| title_fullStr | Maxima of log-correlated fields: Some recent developments |
| title_full_unstemmed | Maxima of log-correlated fields: Some recent developments |
| title_short | Maxima of log-correlated fields: Some recent developments |
| title_sort | maxima of log correlated fields some recent developments |
| work_keys_str_mv | AT baileyec maximaoflogcorrelatedfieldssomerecentdevelopments AT keatingj maximaoflogcorrelatedfieldssomerecentdevelopments |