Log Correlations and Random Matrices

Información del proyecto

LogCorRM

Identificador del acuerdo de subvención: 740900

DOI

10.3030/740900

Proyecto cerrado

Fecha de la firma de la CE 10 Abril 2017

Fecha de inicio 1 Septiembre 2017

Fecha de finalización 31 Agosto 2023

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 1 778 516,00

Aportación de la UE

€ 1 778 516,00

Coordinado por

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
United Kingdom

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (37)

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

Autores: E.C. Bailey, J.P. Keating
Publicado en: Journal of Number Theory, 2021, ISSN 0022-314X
Editor: Academic Press
DOI: 10.1016/j.jnt.2020.12.008

On the distribution of equivalence classes of random symmetric <i>p</i>‐adic matrices

Autores: Valeriya Kovaleva
Publicado en: Mathematika, Edición 5, 2023, ISSN 0025-5793
Editor: University College London, Department of Mathematics
DOI: 10.1112/mtk.12212

Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices

Autores: Tom Claeys; Johannes Forkel; Jonathan P. Keating
Publicado en: Proceedings of the Royal Society of London A, Edición 3, 2023, ISSN 1471-2946
Editor: The Royal Society
DOI: 10.1098/rspa.2022.0652

On the Joint Moments of the Characteristic Polynomials of Random Unitary Matrices

Autores: Assiotis, T; Keating, JP; Warren, J
Publicado en: IMRN, Edición 30, 2021, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnab336

On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices

Autores: Assiotis, T; Bailey, E; Keating, J
Publicado en: Annales de l'Institut Henri Poincaré D, Edición 4, 2022, ISSN 2308-5827
Editor: European Mathematical Society
DOI: 10.4171/aihpd/127

Moments of generalized Cauchy random matrices and continuous-Hahn polynomials

Autores: Theodoros Assiotis; Benjamin Bedert; Mustafa Alper Gunes; Arun Soor
Publicado en: Nonlinearity, Edición 8, 2021, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abfeac

Magnitude and Holmes–Thompson intrinsic volumes of convex bodies

Autores: Mark Meckes
Publicado en: Canadian Mathematical Bulletin, Edición 18, 2022, ISSN 0008-4395
Editor: Canadian Mathematical Society
DOI: 10.4153/s0008439522000728

Spaces of extremal magnitude

Autores: Tom Leinster; Mark Meckes
Publicado en: Proceedings of the American Mathematical Society, Edición 14, 2023, ISSN 0002-9939
Editor: American Mathematical Society
DOI: 10.1090/proc/16433

Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields

Autores: Hung M. Bui, Alexandra Florea, Jonathan P. Keating
Publicado en: Journal of Number Theory, Edición 221, 2021, Página(s) 389-423, ISSN 0022-314X
Editor: Academic Press
DOI: 10.1016/j.jnt.2020.10.021

On the Critical–Subcritical Moments of Moments of Random Characteristic Polynomials: A GMC Perspective

Autores: Jonathan P. Keating; Mo Dick Wong
Publicado en: Communications in Mathematical Physics, Edición 10, 2022, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-022-04429-3

Hierarchical structure in the trace formula*

Autores: J P Keating
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 23, 2022, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ac82d6

Universal characteristics of deep neural network loss surfaces from random matrix theory

Autores: Nicholas P Baskerville; Jonathan P Keating; Francesco Mezzadri; Joseph Najnudel; Diego Granziol
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 5, 2022, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aca7f5

On a distinguished family of random variables and Painlev\'e equations

Autores: Theodoros Assiotis; Benjamin Bedert; Mustafa Alper Gunes; Arun Soor
Publicado en: Probability and Mathematical Physics, Edición 3, 2021, ISSN 2690-0998
Editor: Mathematical Sciences Publishers
DOI: 10.2140/pmp.2021.2.613

A Spin Glass Model for the Loss Surfaces of Generative Adversarial Networks

Autores: Nicholas P. Baskerville; Jonathan P. Keating; Francesco Mezzadri; Joseph Najnudel
Publicado en: Journal of Statistical Physics, Edición 6, 2022, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-022-02875-w

Infinite -adic random matrices and ergodic decomposition of -adic Hua measures

Autores: Theodoros Assiotis
Publicado en: Transactions of the American Mathematical Society, Edición 4, 2022, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/8526

The Ratios Conjecture and upper bounds for negative moments of -functions over function fields

Autores: Bui, HM; Florea, A; Keating, J
Publicado en: Transactions of the American Mathematical Society, Edición 36, 2023, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/8907

Tail universality of critical Gaussian multiplicative chaos

Autores: Wong, Mo Dick
Publicado en: Probability Theory and Related Fields, Edición 1, 2020, ISSN 0178-8051
Editor: Springer Verlag
DOI: 10.1007/s00440-020-00960-3

Extreme values of CUE characteristic polynomials: a numerical study

Autores: Yan V Fyodorov, Sven Gnutzmann, Jonathan P Keating
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 51/46, 2018, Página(s) 464001, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aae65a

Variance of arithmetic sums and L-functions in q[t]

Autores: Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon
Publicado en: Algebra & Number Theory, Edición 13/1, 2019, Página(s) 19-92, ISSN 1937-0652
Editor: Mathematical Sciences Publishers
DOI: 10.2140/ant.2019.13.19

Moments of zeta and correlations of divisor‐sums: V

Autores: Brian Conrey, Jonathan P. Keating
Publicado en: Proceedings of the London Mathematical Society, Edición 118/4, 2018, Página(s) 729-752, ISSN 0024-6115
Editor: Oxford University Press
DOI: 10.1112/plms.12196

On the Moments of the Moments of the Characteristic Polynomials of Random Unitary Matrices

Autores: E. C. Bailey, J. P. Keating
Publicado en: Communications in Mathematical Physics, 2019, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-019-03503-7

A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions

Autores: Estelle Basor, Pavel Bleher, Robert Buckingham, Tamara Grava, Alexander Its, Elizabeth Its, Jonathan P Keating
Publicado en: Nonlinearity, Edición 32/10, 2019, Página(s) 4033-4078, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab28c7

Twin prime correlations from the pair correlation of Riemann zeros

Autores: J P Keating, D J Smith
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 52/36, 2019, Página(s) 365201, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab3521

Ergodic Decomposition for Inverse Wishart Measures on Infinite Positive-Definite Matrices

Autores: Theodoros Assiotis
Publicado en: Symmetry, Integrability and Geometry: Methods and Applications, 2019, ISSN 1815-0659
Editor: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/SIGMA.2019.067

On a gateway between the Laguerre process and dynamics on partitions

Autores: Theodoros Assiotis
Publicado en: Latin American Journal of Probability and Mathematical Statistics, Edición 16/2, 2019, Página(s) 1055, ISSN 1980-0436
Editor: Instituto Nacional de Matematica Pura e Aplicada
DOI: 10.30757/alea.v16-38

Variance of sums in arithmetic progressions of divisor functions associated with higher degree L-functions in q[t]

Autores: Edva Roditty-Gershon, Chris Hall, Jonathan P. Keating
Publicado en: International Journal of Number Theory, 2019, Página(s) 1-18, ISSN 1793-0421
Editor: World Scientific Publishing Co
DOI: 10.1142/s1793042120500529

Determinantal Structures in Space-Inhomogeneous Dynamics on Interlacing Arrays

Autores: Theodoros Assiotis
Publicado en: Annales Henri Poincaré, Edición 21/3, 2020, Página(s) 909-940, ISSN 1424-0637
Editor: Birkhauser Verlag
DOI: 10.1007/s00023-019-00881-5

On the moments of characteristic polynomials

Autores: Bhargavi Jonnadula; Jonathan P. Keating; Francesco Mezzadri
Publicado en: Glasgow Mathematical Journal, Edición 4, 2022, ISSN 0017-0895
Editor: Cambridge University Press
DOI: 10.1017/s0017089522000258

Symmetric Function Theory and Unitary Invariant Ensembles

Autores: Bhargavi Jonnadula; Jon P Keating; Francesco Mezzadri
Publicado en: Journal of Mathematical Physics, Edición 2, 2021, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0048364

Moments of quadratic twists of elliptic curveL-functions over function fields

Autores: Hung M. Bui, Alexandra Florea, Jonathan P. Keating, Edva Roditty-Gershon
Publicado en: Algebra & Number Theory, Edición 14/7, 2020, Página(s) 1853-1893, ISSN 1937-0652
Editor: Mathematical Sciences Publishers
DOI: 10.2140/ant.2020.14.1853

The classical compact groups and Gaussian multiplicative chaos

Autores: Johannes Forkel; Jon P Keating
Publicado en: Nonlinearity, Edición 5, 2021, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac1164

Appearance of Random Matrix Theory in deep learning

Autores: Nicholas P. Baskerville; Diego Granziol; Jonathan P. Keating
Publicado en: Physica A: Statistical Mechanics and its Applications, Edición 6, 2022, ISSN 0378-4371
Editor: Elsevier BV
DOI: 10.1016/j.physa.2021.126742

Maxima of log-correlated fields: some recent developments*

Autores: E C Bailey; J P Keating
Publicado en: Journal of Physics A: Mathematical and Theoretical, Edición 1, 2022, ISSN 1751-8113
Editor: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ac4394

Multifractal Eigenfunctions for a Singular Quantum Billiard

Autores: Jon P Keating; Henrik Ueberschär
Publicado en: https://hal.sorbonne-universite.fr/hal-03460902, Edición 24, 2022, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04214-8

The boundary of the orbital beta process

Autores: Theodoros Assiotis; Joseph Najnudel
Publicado en: Moscow Mathematical Journal, Edición 7, 2021, ISSN 1609-4514
Editor: Independent University of Moscow
DOI: 10.17323/1609-4514-2021-21-4-659-694

Moments of moments of characteristic polynomials of random unitary matrices and lattice point counts

Autores: Theodoros Assiotis, Jonathan P. Keating
Publicado en: Random Matrices: Theory and Applications, 2020, Página(s) 2150019, ISSN 2010-3263
Editor: World Scientific
DOI: 10.1142/s2010326321500192

Moments of Moments and Branching Random Walks

Autores: E. C. Bailey, J. P. Keating
Publicado en: Journal of Statistical Physics, Edición 182/1, 2021, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02696-9

Other (11)

The Eigenvalues of Random Matrices

Autores: Meckes, Elizabeth
Publicado en: ArXiv, Edición 35, 2020
Editor: ArXiv
DOI: 10.48550/arxiv.2101.02928

Joint moments of higher order derivatives of CUE characteristic polynomials I: asymptotic formulae

Autores: Keating, Jonathan P.; Wei, Fei
Publicado en: ArXiv, Edición 4, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2307.01625

Winding and intersection of Brownian motions

Autores: Sauzedde, Isao
Publicado en: ArXiv, Edición 3, 2021
Editor: ArXiv
DOI: 10.48550/arxiv.2112.01645

Convergence of the logarithm of the characteristic polynomial of unitary Brownian motion in Sobolev space

Autores: Forkel, Johannes; Sauzedde, Isao
Publicado en: ArXiv, Edición 14, 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2211.02034

LECTURE HALL GRAPHS AND THE ASKEY SCHEME

Autores: SYLVIE CORTEEL, BHARGAVI JONNADULA, JONATHAN P. KEATING, AND JANG SOO KIM
Publicado en: 2023
Editor: ArXiv

Homotopy and holonomy of the planar Brownian motion in a Poisson punctured plane

Autores: Sauzedde, Isao
Publicado en: ArXiv, Edición 1, 2021
Editor: ArXiv
DOI: 10.48550/arxiv.2110.15816

Brownian windings, Stochastic Green's formula and inhomogeneous magnetic impurities

Autores: Sauzedde, Isao
Publicado en: ArXiv, Edición 2, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2301.00551

Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices

Autores: Keating, Jonathan P.; Kele��, Ahmet Abdullah
Publicado en: ArXiv, Edición 21, 2020
Editor: ArXiv
DOI: 10.48550/arxiv.2003.00454

Joint moments of higher order derivatives of CUE characteristic polynomials II: Structures, recursive relations, and applications

Autores: Keating, Jonathan P.; Wei, Fei
Publicado en: ArXiv, Edición 5, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2307.02831

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor

Autores: Gorodetsky, Ofir; Kovaleva, Valeriya
Publicado en: ArXiv, Edición 14, 2023
Editor: ArXiv
DOI: 10.48550/arxiv.2307.01344

Multifractal eigenfunctions for quantum star graphs

Autores: Keating, Jonathan P.; Ueberschaer, Henrik
Publicado en: Edición 25, 2022
Editor: ArXiv
DOI: 10.48550/arxiv.2202.13634