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Lecture hall graphs and the Askey scheme

• Authors : Corteel, Sylvie; Jonnadula, Bhargavi; Keating, Jonathan P.

Subjects: Mathematics - Combinatorics; Mathematical Physics; Mathematics - Classical Analysis and ODEs

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

• Authors : Keating, Jonathan P.; Wei, Fei

Subjects: Mathematical Physics; Mathematics - Number Theory

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

• Authors : Keating, Jonathan P.; Wei, Fei

Subjects: Mathematical Physics; Mathematics - Number Theory

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On the critical-subcritical moments of moments of random characteristic polynomials: a GMC perspective

• Authors : Keating, Jonathan P.; Wong, Mo Dick

• Source: Communications in Mathematical Physics, 2022, Vol.394(3), pp.1247-1301 [Peer Reviewed Journal]

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Moments of Moments of the Characteristic Polynomials of Random Orthogonal and Symplectic Matrices

• Authors : Claeys, Tom; Forkel, Johannes; Keating, Jonathan P.

Subjects: Mathematical Physics

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Hierarchical Structure in the Trace Formula

• Authors : Keating, Jonathan P.

Subjects: Nonlinear Sciences - Chaotic Dynamics; Quantum Physics

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

• Authors : Baskerville, Nicholas P; Keating, Jonathan P; Mezzadri, Francesco

Subjects: Mathematical Physics; Condensed Matter - Disordered Systems and Neural Networks; Computer Science - Machine Learning

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Multifractal eigenfunctions for quantum star graphs

• Authors : Keating, Jonathan P.; Ueberschaer, Henrik

Subjects: Mathematical Physics; Mathematics - Analysis of PDEs; Mathematics - Spectral Theory

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

• Authors : Baskerville, Nicholas P; Keating, Jonathan P; Mezzadri, Francesco ...

• Source: Journal of Physics A: Mathematical and Theoretical ; volume 55, issue 49, page 494002 ; ISSN 1751-8113 1751-8121

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

• Authors : Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P.

Subjects: Mathematics - Number Theory

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