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Integrable Random Structures

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Publications

Large permutation invariant random matrices are asymptotically free over the diagonal

Author(s): Benson Au, Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel, Camille Male
Published in: arXiv, 2018

Integer moments of complex Wishart matrices and Hurwitz numbers

Author(s): Fabio Deelan Cunden, Antoine Dahlqvist, Neil O'Connell
Published in: arXiv, 2018

Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation

Author(s): Elia Bisi, Nikos Zygouras
Published in: 2019

The oriented swap process and last passage percolation

Author(s): Elia Bisi, Fabio Deelan Cunden, Shane Gibbons, Dan Romik
Published in: 2020

The geometric Burge correspondence and the partition function of polymer replicas

Author(s): Elia Bisi, Neil O'Connell, Nikos Zygouras
Published in: 2020

Moments of discrete orthogonal polynomial ensembles

Author(s): Philip Cohen, Fabio Deelan Cunden, Neil O'Connell
Published in: 2019

Interacting diffusions on positive definite matrices

Author(s): Neil O'Connell
Published in: 2019

On the joint moments of the characteristic polynomials of random unitary matrices

Author(s): Theodoros Assiotis, Jonathan P. Keating, Jon Warren
Published in: arXiv, 2020

Moments of Random Matrices and Hypergeometric Orthogonal Polynomials

Author(s): Fabio Deelan Cunden, Francesco Mezzadri, Neil O’Connell, Nick Simm
Published in: Communications in Mathematical Physics, 2019, ISSN 0010-3616
DOI: 10.1007/s00220-019-03323-9

Universality of the third-order phase transition in the constrained Coulomb gas

Author(s): Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo
Published in: Journal of Statistical Mechanics: Theory and Experiment, Issue 2017/5, 2017, Page(s) 053303, ISSN 1742-5468
DOI: 10.1088/1742-5468/aa690c

Universality of the weak pushed-to-pulled transition in systems with repulsive interactions

Author(s): Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 51/35, 2018, Page(s) 35LT01, ISSN 1751-8113
DOI: 10.1088/1751-8121/aad147

Free Fermions and the Classical Compact Groups

Author(s): Fabio Deelan Cunden, Francesco Mezzadri, Neil O’Connell
Published in: Journal of Statistical Physics, Issue 171/5, 2018, Page(s) 768-801, ISSN 0022-4715
DOI: 10.1007/s10955-018-2029-6

Third-Order Phase Transition: Random Matrices and Screened Coulomb Gas with Hard Walls

Author(s): Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo
Published in: Journal of Statistical Physics, 2019, ISSN 0022-4715
DOI: 10.1007/s10955-019-02281-9

Free fermions and α-determinantal processes

Author(s): Fabio Deelan Cunden, Satya N Majumdar, Neil O'Connell
Published in: Journal of Physics A: Mathematical and Theoretical, 2019, ISSN 1751-8113
DOI: 10.1088/1751-8121/ab0ebd

Loop-Erased Walks and Random Matrices

Author(s): Jonas Arista, Neil O’Connell
Published in: Journal of Statistical Physics, Issue 177/3, 2019, Page(s) 528-567, ISSN 0022-4715
DOI: 10.1007/s10955-019-02378-1

Scaling Limits for Non-intersecting Polymers and Whittaker Measures

Author(s): Samuel G. G. Johnston, Neil O’Connell
Published in: Journal of Statistical Physics, Issue 179/2, 2020, Page(s) 354-407, ISSN 0022-4715
DOI: 10.1007/s10955-020-02534-y

Interlacing Diffusions

Author(s): Theodoros Assiotis, Neil O’Connell, Jon Warren
Published in: Séminaire de Probabilités L, Issue 2252, 2019, Page(s) 301-380
DOI: 10.1007/978-3-030-28535-7_13

Stochastic Processes and Random Matrices

Author(s): Grégory Schehr, Alexander Altland, Yan V. Fyodorov, Neil O'Connell, and Leticia F. Cugliandolo
Published in: 2018
DOI: 10.1093/oso/9780198797319.001.0001

Sorting networks, staircase young tableaux and last passage percolation

Author(s): Elia Bisi, Fabio Deelan Cunden, Shane Gibbons, and Dan Romik
Published in: Séminaire Lotharingien de Combinatoire XX (2020), Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020