Publications

Recent group publications

The Persistence of Neural Collapse Despite Low-Rank Bias: An Analytic Perspective Through Unconstrained Features

Authors: Connall Garrod, Jonathan P. Keating
Last updated: 30 October 2024
http://arxiv.org/abs/2410.23169v1
 

Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem

Authors: Louis-Pierre Arguin, Emma Bailey
Last updated: 29 October 2024
http://arxiv.org/abs/2403.19803v2
 

Exchangeable arrays and integrable systems for characteristic polynomials of random matrices

Authors: Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating, Fei Wei
Last updated: 14 October 2024
http://arxiv.org/abs/2407.19233v3
 

Graph Expansions of Deep Neural Networks and their Universal Scaling Limits

Authors: Nicola Muca Cirone, Jad Hamdan, Cristopher Salvi
Last updated: 14 September 2024
http://arxiv.org/abs/2407.08459v4
 

Quantum interpretation of lattice paths

Authors: Bhargavi Jonnadula, Jonathan P. Keating
Last updated: 17 June 2024
http://arxiv.org/abs/2406.11448v1
 

Pivoting through the chiral-clock family

Authors: Nick G. Jones, Abhishodh Prakash, Paul Fendley
Last updated: 3 June 2024
http://arxiv.org/abs/2406.01680v1
 

Upper Bounds on Large Deviations of Dirichlet $L$-functions in the $q$-aspect

Authors: Louis-Pierre Arguin, Nathan Creighton
Last updated: 31 May 2024
http://arxiv.org/abs/2405.20888v1
 

The Fyodorov-Hiary-Keating Conjecture on Mesoscopic Intervals

Authors: Louis-Pierre Arguin, Jad Hamdan
Last updated: 10 May 2024
http://arxiv.org/abs/2405.06474v1
 

Classical origins of Landau-incompatible transitions

Authors: Abhishodh Prakash, Nick G. Jones
Last updated: 29 April 2024
http://arxiv.org/abs/2404.19009v1
 

Unifying Low Dimensional Observations in Deep Learning Through the Deep Linear Unconstrained Feature Model

Authors: Connall Garrod, Jonathan P. Keating
Last updated: 9 April 2024
http://arxiv.org/abs/2404.06106v1
 

A Fixed-Point Approach to Non-Commutative Central Limit Theorems

Authors: Jad Hamdan
Last updated: 28 February 2024
http://arxiv.org/abs/2305.06960v6
 

Exact correlations in topological quantum chains

Authors: Nick G. Jones, Ruben Verresen
Last updated: 20 December 2023
http://arxiv.org/abs/2105.13359v3
 

Lecture hall graphs and the Askey scheme

Authors: Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating, Jang Soo Kim
Last updated: 22 November 2023
http://arxiv.org/abs/2311.12761v2
 

A Proletarian Approach to Generating Eigenvalues of GUE Matrices

Authors: Luc Devroye, Jad Hamdan
Last updated: 14 September 2023
http://arxiv.org/abs/2304.03741v2
 

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

Authors: Jonathan P. Keating, Fei Wei
Last updated: 27 July 2023
http://arxiv.org/abs/2307.02831v2
 

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

Authors: Jonathan P. Keating, Fei Wei
Last updated: 27 July 2023
http://arxiv.org/abs/2307.01625v2
 

The Fyodorov-Hiary-Keating Conjecture. II

Authors: Louis-Pierre Arguin, Paul Bourgade, Maksym Radziwiłł
Last updated: 3 July 2023
http://arxiv.org/abs/2307.00982v1
 

Brownian Bees with Drift: Finding the Criticality

Authors: Donald Flynn
Last updated: 27 April 2023
http://arxiv.org/abs/2304.14079v1
 

Bulk-boundary correspondence and singularity-filling in long-range free-fermion chains

Authors: Nick G. Jones, Ryan Thorngren, Ruben Verresen
Last updated: 14 April 2023
http://arxiv.org/abs/2211.15690v3