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Integrable Random Structures

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Publications

Explicit expressions of the Hua-Pickrell semi-group

Author(s): Jonas Arista, Nizar Demni
Published in: arXiv, 2020
Publisher: arXiv

Conditional measures for Pfaffian point processes: conditioning on a bounded domain

Author(s): Cunden, Fabio Deelan; Qiu, Yanqi; Bufetov, Alexander I.
Published in: 2020
Publisher: arXiv

Moments of discrete orthogonal polynomial ensembles

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

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
Publisher: arXiv

Matsumoto-Yor and Dufresne type theorems for a random walk on positive definite matrices

Author(s): Jonas Arista, Elia Bisi, Neil O'Connell
Published in: arxiv, 2021
Publisher: Cornell University

Moments of discrete classical q-orthogonal polynomial ensembles

Author(s): Philip Cohen
Published in: arxiv, 2021
Publisher: Cornell University

Matrix Whittaker processes

Author(s): Jonas Arista, Elia Bisi, Neil O’Connell
Published in: 2022
Publisher: ArXiv

Moments of discrete orthogonal polynomial ensembles

Author(s): Philip Cohen, Fabio Deelan Cunden, Neil O’Connell
Published in: Electronic Journal of Probability, 25/0, 2020, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-EJP472

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

Author(s): Theodoros Assiotis, Jonathan P. Keating, Jon Warren
Published in: International Mathematics Research Notices, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnab336

Volume of the set of LOCC-convertible quantum states

Author(s): Fabio Deelan Cunden, Paolo Facchi, Giuseppe Florio, Giovanni Gramegna
Published in: Journal of Physics A: Mathematical and Theoretical, 53/17, 2020, Page(s) 175303, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab7b21

Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics, and spiked random matrices: Pinning and localization

Author(s): Alexandre Krajenbrink, Pierre Le Doussal, Neil O'Connell
Published in: Physical Review E, 103/4, 2021, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.103.042120

Freeness over the diagonal for large random matrices

Author(s): Benson Au, Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel, Camille Male
Published in: The Annals of Probability, 49/1, 2021, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1447

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
Publisher: Springer Verlag
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, 2017/5, 2017, Page(s) 053303, ISSN 1742-5468
Publisher: Institute of Physics
DOI: 10.1088/1742-5468/aa690c

Integer moments of complex Wishart matrices and Hurwitz numbers

Author(s): Fabio Deelan Cunden, Antoine Dahlqvist, Neil O'Connell
Published in: Annales de l’Institut Henri Poincaré D, 8/2, 2021, Page(s) 243-268, ISSN 2308-5827
Publisher: EMS Press
DOI: 10.4171/aihpd/103

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, 51/35, 2018, Page(s) 35LT01, ISSN 1751-8113
Publisher: Institute of Physics Publishing
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, 171/5, 2018, Page(s) 768-801, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
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
Publisher: Kluwer Academic/Plenum Publishers
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
Publisher: Institute of Physics Publishing
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, 177/3, 2019, Page(s) 528-567, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02378-1

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

Author(s): Elia Bisi, Nikos Zygouras
Published in: Advances in Mathematics, 00018708, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108453

The oriented swap process and last passage percolation

Author(s): Elia Bisi, Fabio Deelan Cunden, Shane Gibbons, Dan Romik
Published in: Random Structures & Algorithms, 2021, ISSN 1042-9832
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/rsa.21055

Scaling Limits for Non-intersecting Polymers and Whittaker Measures

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

The geometric Burge correspondence and the partition function of polymer replicas

Author(s): Elia Bisi, Neil O’Connell, Nikos Zygouras
Published in: Selecta Mathematica, 27/5, 2021, ISSN 1022-1824
Publisher: Birkhauser Verlag
DOI: 10.1007/s00029-021-00712-8

Interacting diffusions on positive definite matrices

Author(s): Neil O’Connell
Published in: Probability Theory and Related Fields, 180/3-4, 2021, Page(s) 679-726, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-021-01039-3

Conditional measures for Pfaffian point processes: Conditioning on a bounded domain

Author(s): Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu
Published in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 57/2, 2021, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/20-aihp1099

Interlacing Diffusions

Author(s): Theodoros Assiotis, Neil O’Connell, Jon Warren
Published in: Séminaire de Probabilités L, 2252, 2019, Page(s) 301-380, ISBN 978-3-030-28534-0
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-28535-7_13

The Doob-McKean identity for stable L\'evy processes

Author(s): Kyprianou, Andreas E.; O'Connell, Neil
Published in: A Lifetime of Excursions Through Random Walks and Lévy Processes, 5, 2021, ISBN 978-3-030-83308-4
Publisher: Birkhauser
DOI: 10.1007/978-3-030-83309-1

Stochastic Processes and Random Matrices

Author(s): Grégory Schehr, Alexander Altland, Yan V. Fyodorov, Neil O'Connell, and Leticia F. Cugliandolo
Published in: 2018, ISBN 9780-198797319
Publisher: Oxford University Press
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 84B (2020), Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020
Publisher: Séminaire Lotharingien de Combinatoire