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Freezing transitions and extreme values: random matrix theory, ζ (1⁄2 + it) and disordered landscapes

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2014-01, Vol.372 (2007), p.1-32

2014

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

Nonlinearity, 2024-08, Vol.37 (8), p.85009

2024

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The classical compact groups and Gaussian multiplicative chaos

Nonlinearity, 2021-09, Vol.34 (9), p.6050-6119

2021

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Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function

Physical review letters, 2012-04, Vol.108 (17), p.170601-170601, Article 170601

2012

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Moments of zeta and correlations of divisor-sums: I

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2015-04, Vol.373 (2040), p.20140313

2015

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

Journal of statistical physics, 2022, Vol.186 (2), p.29-29, Article 29

2022

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Multifractal Eigenfunctions for a Singular Quantum Billiard

Communications in mathematical physics, 2022-01, Vol.389 (1), p.543-569

2022

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Squarefree polynomials and Möbius values in short intervals and arithmetic progressions

Algebra & Number Theory, 2016-01, Vol.10 (2), p.375-420

2016

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On the moments of characteristic polynomials

Glasgow mathematical journal, 2023-05, Vol.65 (S1), p.S102-S122

2023

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Extreme values of CUE characteristic polynomials: a numerical study

Journal of physics. A, Mathematical and theoretical, 2018-11, Vol.51 (46), p.464001

2018

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

Communications in mathematical physics, 2022, Vol.394 (3), p.1247-1301

2022

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

Journal of physics. A, Mathematical and theoretical, 2022-12, Vol.55 (49), p.494002

2022

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

Nonlinearity, 2019-10, Vol.32 (10), p.4033-4078

2019

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Pair correlation and twin primes revisited

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2016-10, Vol.472 (2194), p.20160548-20160548

2016

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

Transactions of the American Mathematical Society, 2023-06, Vol.376 (6), p.4453

2023

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Averages of ratios of the Riemann zeta-function and correlations of divisor sums

Nonlinearity, 2017-10, Vol.30 (10), p.R67-R80

2017

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Moments of zeta and correlations of divisor-sums: IV

Research in number theory, 2016-12, Vol.2 (1), p.1-24, Article 24

2016

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Elucidation of structure and nature of the PdO―Pd transformation using in situ PDF and XAS techniques

Physical chemistry chemical physics : PCCP, 2013-06, Vol.15 (22), p.8555-8565

2013

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

Annales de l'Institut Henri Poincaré. D. Combinatorics, physics and their interactions, 2022-01, Vol.9 (3), p.567-604

2022

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Resummation and the semiclassical theory of spectral statistics

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2007-12, Vol.463 (2088), p.3241-3250

2007

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Quantum Chaos, Random Matrix Theory, and the Riemann ζ-function

Chaos, 2013, p.125-168

2013

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Local Structure and Speciation of Platinum in Fresh and Road-Aged North American Sourced Vehicle Emissions Catalysts: An X‐ray Absorption Spectroscopic Study

Environmental science & technology, 2014-04, Vol.48 (7), p.3658-3665

2014

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Moments of zeta and correlations of divisor‐sums: V

Proceedings of the London Mathematical Society, 2019-04, Vol.118 (4), p.729-752

2019

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

Transactions of the American Mathematical Society, 2023-06, Vol.376 (6), p.4453-4510

2023

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Appearance of Random Matrix Theory in deep learning

Physica A, 2022-03, Vol.590, p.126742, Article 126742

2022

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Freezing transitions and extreme values: random matrix theory, ζ (1⁄2 + it) and disordered landscapes

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

The classical compact groups and Gaussian multiplicative chaos

Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function

Moments of zeta and correlations of divisor-sums: I

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

Multifractal Eigenfunctions for a Singular Quantum Billiard

Squarefree polynomials and Möbius values in short intervals and arithmetic progressions

On the moments of characteristic polynomials

Extreme values of CUE characteristic polynomials: a numerical study

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

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

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

Pair correlation and twin primes revisited

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

Averages of ratios of the Riemann zeta-function and correlations of divisor sums

Moments of zeta and correlations of divisor-sums: IV

Elucidation of structure and nature of the PdO―Pd transformation using in situ PDF and XAS techniques

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

Resummation and the semiclassical theory of spectral statistics

Quantum Chaos, Random Matrix Theory, and the Riemann ζ-function

Local Structure and Speciation of Platinum in Fresh and Road-Aged North American Sourced Vehicle Emissions Catalysts: An X‐ray Absorption Spectroscopic Study

Moments of zeta and correlations of divisor‐sums: V

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

Appearance of Random Matrix Theory in deep learning

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