Integrable Random Structures

Project Information

IntRanSt

Grant agreement ID: 669306

DOI

10.3030/669306

Project closed

EC signature date 10 July 2015

Start date 1 October 2015

End date 30 September 2021

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 579 298,75

EU contribution

€ 1 579 298,75

Coordinated by

UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Ireland

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (20)

Explicit expressions of the Hua-Pickrell semi-group

Author(s): Jonas Arista, Nizar Demni
Published in: SIAM Theory Probab. Appl., 2021, ISSN 0040-585X
Publisher: Society for Industrial and Applied Mathematics

Moments of discrete orthogonal polynomial ensembles

Author(s): Philip Cohen, Fabio Deelan Cunden, Neil O’Connell
Published in: Electronic Journal of Probability, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 57/2, 2021, ISSN 0246-0203
Publisher: Elsevier BV
DOI: 10.1214/20-aihp1099

Book chapters (2)

Interlacing Diffusions

Author(s): Theodoros Assiotis, Neil O’Connell, Jon Warren
Published in: Séminaire de Probabilités L, Issue 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, Issue 5, 2021, ISBN 978-3-030-83308-4
Publisher: Birkhauser
DOI: 10.1007/978-3-030-83309-1_15

Monographic books (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

Conference proceedings (1)

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

Other (3)

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