Integrable Random Structures

Explicit expressions of the Hua-Pickrell semi-group

Autori: Jonas Arista, Nizar Demni
Pubblicato in: SIAM Theory Probab. Appl., 2021, ISSN 0040-585X
Editore: Society for Industrial and Applied Mathematics

Moments of discrete orthogonal polynomial ensembles

Autori: Philip Cohen, Fabio Deelan Cunden, Neil O’Connell
Pubblicato in: Electronic Journal of Probability, Numero 25/0, 2020, ISSN 1083-6489
Editore: Institute of Mathematical Statistics
DOI: 10.1214/20-EJP472

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

Autori: Theodoros Assiotis, Jonathan P. Keating, Jon Warren
Pubblicato in: International Mathematics Research Notices, 2021, ISSN 1073-7928
Editore: Oxford University Press
DOI: 10.1093/imrn/rnab336

Volume of the set of LOCC-convertible quantum states

Autori: Fabio Deelan Cunden, Paolo Facchi, Giuseppe Florio, Giovanni Gramegna
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 53/17, 2020, Pagina/e 175303, ISSN 1751-8113
Editore: 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

Autori: Alexandre Krajenbrink, Pierre Le Doussal, Neil O'Connell
Pubblicato in: Physical Review E, Numero 103/4, 2021, ISSN 2470-0045
Editore: American Physical Society
DOI: 10.1103/physreve.103.042120

Freeness over the diagonal for large random matrices

Autori: Benson Au, Guillaume Cébron, Antoine Dahlqvist, Franck Gabriel, Camille Male
Pubblicato in: The Annals of Probability, Numero 49/1, 2021, ISSN 0091-1798
Editore: Institute of Mathematical Statistics
DOI: 10.1214/20-aop1447

Moments of Random Matrices and Hypergeometric Orthogonal Polynomials

Autori: Fabio Deelan Cunden, Francesco Mezzadri, Neil O’Connell, Nick Simm
Pubblicato in: Communications in Mathematical Physics, 2019, ISSN 0010-3616
Editore: Springer Verlag
DOI: 10.1007/s00220-019-03323-9

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

Autori: Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo
Pubblicato in: Journal of Statistical Mechanics: Theory and Experiment, Numero 2017/5, 2017, Pagina/e 053303, ISSN 1742-5468
Editore: Institute of Physics
DOI: 10.1088/1742-5468/aa690c

Integer moments of complex Wishart matrices and Hurwitz numbers

Autori: Fabio Deelan Cunden, Antoine Dahlqvist, Neil O'Connell
Pubblicato in: Annales de l’Institut Henri Poincaré D, Numero 8/2, 2021, Pagina/e 243-268, ISSN 2308-5827
Editore: EMS Press
DOI: 10.4171/aihpd/103

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

Autori: Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, Numero 51/35, 2018, Pagina/e 35LT01, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/aad147

Free Fermions and the Classical Compact Groups

Autori: Fabio Deelan Cunden, Francesco Mezzadri, Neil O’Connell
Pubblicato in: Journal of Statistical Physics, Numero 171/5, 2018, Pagina/e 768-801, ISSN 0022-4715
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-018-2029-6

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

Autori: Fabio Deelan Cunden, Paolo Facchi, Marilena Ligabò, Pierpaolo Vivo
Pubblicato in: Journal of Statistical Physics, 2019, ISSN 0022-4715
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02281-9

Free fermions and α-determinantal processes

Autori: Fabio Deelan Cunden, Satya N Majumdar, Neil O'Connell
Pubblicato in: Journal of Physics A: Mathematical and Theoretical, 2019, ISSN 1751-8113
Editore: Institute of Physics Publishing
DOI: 10.1088/1751-8121/ab0ebd

Loop-Erased Walks and Random Matrices

Autori: Jonas Arista, Neil O’Connell
Pubblicato in: Journal of Statistical Physics, Numero 177/3, 2019, Pagina/e 528-567, ISSN 0022-4715
Editore: 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

Autori: Elia Bisi, Nikos Zygouras
Pubblicato in: Advances in Mathematics, Numero 00018708, 2022, ISSN 0001-8708
Editore: Academic Press
DOI: 10.1016/j.aim.2022.108453

The oriented swap process and last passage percolation

Autori: Elia Bisi, Fabio Deelan Cunden, Shane Gibbons, Dan Romik
Pubblicato in: Random Structures & Algorithms, 2021, ISSN 1042-9832
Editore: John Wiley & Sons Inc.
DOI: 10.1002/rsa.21055

Scaling Limits for Non-intersecting Polymers and Whittaker Measures

Autori: Samuel G. G. Johnston, Neil O’Connell
Pubblicato in: Journal of Statistical Physics, Numero 179/2, 2020, Pagina/e 354-407, ISSN 0022-4715
Editore: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-020-02534-y

The geometric Burge correspondence and the partition function of polymer replicas

Autori: Elia Bisi, Neil O’Connell, Nikos Zygouras
Pubblicato in: Selecta Mathematica, Numero 27/5, 2021, ISSN 1022-1824
Editore: Birkhauser Verlag
DOI: 10.1007/s00029-021-00712-8

Interacting diffusions on positive definite matrices

Autori: Neil O’Connell
Pubblicato in: Probability Theory and Related Fields, Numero 180/3-4, 2021, Pagina/e 679-726, ISSN 0178-8051
Editore: Springer Verlag
DOI: 10.1007/s00440-021-01039-3

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

Autori: Alexander I. Bufetov, Fabio Deelan Cunden, Yanqi Qiu
Pubblicato in: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, Numero 57/2, 2021, ISSN 0246-0203
Editore: Elsevier BV
DOI: 10.1214/20-aihp1099

Interlacing Diffusions

Autori: Theodoros Assiotis, Neil O’Connell, Jon Warren
Pubblicato in: Séminaire de Probabilités L, Numero 2252, 2019, Pagina/e 301-380, ISBN 978-3-030-28534-0
Editore: Springer International Publishing
DOI: 10.1007/978-3-030-28535-7_13

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

Autori: Kyprianou, Andreas E.; O'Connell, Neil
Pubblicato in: A Lifetime of Excursions Through Random Walks and Lévy Processes, Numero 5, 2021, ISBN 978-3-030-83308-4
Editore: Birkhauser
DOI: 10.1007/978-3-030-83309-1

Stochastic Processes and Random Matrices

Autori: Grégory Schehr, Alexander Altland, Yan V. Fyodorov, Neil O'Connell, and Leticia F. Cugliandolo
Pubblicato in: 2018, ISBN 9780-198797319
Editore: Oxford University Press
DOI: 10.1093/oso/9780198797319.001.0001

Sorting networks, staircase young tableaux and last passage percolation

Autori: Elia Bisi, Fabio Deelan Cunden, Shane Gibbons, and Dan Romik
Pubblicato in: Séminaire Lotharingien de Combinatoire 84B (2020), Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020
Editore: Séminaire Lotharingien de Combinatoire

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

Autori: Jonas Arista, Elia Bisi, Neil O'Connell
Pubblicato in: arxiv, 2021
Editore: Cornell University

Moments of discrete classical q-orthogonal polynomial ensembles

Autori: Philip Cohen
Pubblicato in: arxiv, 2021
Editore: Cornell University

Matrix Whittaker processes

Autori: Jonas Arista, Elia Bisi, Neil O’Connell
Pubblicato in: 2022
Editore: ArXiv

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