182 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- The University of MelbourneAU58 papers
- Queensland University of TechnologyAU33 papers
- Monash UniversityAU18 papers
- University of Science and Technology of ChinaCN16 papers
- The University of AdelaideAU10 papers
- Australian Research CouncilAU7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Minjiang UniversityCN6 papers
- University of OxfordGB6 papers
- University of Technology SydneyAU6 papers
- UNSW SydneyAU6 papers
- The University of SydneyAU5 papers
9 papers · 2 filters
Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles
Peter J. Forrester, Jesper R. Ipsen, Dang-Zheng Liu +1
In this paper, we highlight the role played by orthogonal and symplectic Harish-Chandra integrals in the study of real-valued matrix product ensembles. By making use of these integ…
Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE
Peter J Forrester, Allan K Trinh
The neighbourhood of the largest eigenvalue in the Gaussian unitary ensemble (GUE) and Laguerre unitary ensemble (LUE) is referred to as the soft edge. It is known th…
Integrable stochastic dualities and the deformed Knizhnik-Zamolodchikov equation
Zeying Chen, Jan de Gier, Michael Wheeler
We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of the deformed Knizhnik-Zamolodchikov equations. Ou…
How many eigenvalues of a product of truncated orthogonal matrices are real?
P. J. Forrester, J. R. Ipsen, S. Kumar
A truncation of a Haar distributed orthogonal random matrix gives rise to a matrix whose eigenvalues are either real or complex conjugate pairs, and are supported within the closed…
Large expansions for the Laguerre and Jacobi ensembles from the loop equations
Peter J. Forrester, Anas A. Rahman, Nicholas S. Witte
The -ensembles of random matrix theory with classical weights have many special properties. One is that the loop equations specifying the resolvent and corresponding multipoint…
Integrable structure of products of finite complex Ginibre random matrices
Vladimir V. Mangazeev, Peter J. Forrester
We consider the squared singular values of the product of standard complex Gaussian matrices. Since the squared singular values form a determinantal point process with a partic…
On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model
Andrea Collevecchio, Eren Metin Elci, Timothy M. Garoni +1
We consider the coupling from the past implementation of the random-cluster heat-bath process, and study its random running time, or coupling time. We focus on hypercubic lattices…
May-Wigner transition in large random dynamical systems
J. R. Ipsen
We consider stability in a class of random non-linear dynamical systems characterised by a relaxation rate together with a Gaussian random vector field which is white-in-time and s…
Matrix product ensembles of Hermite-type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral
P. J. Forrester, J. R. Ipsen, Dang-Zheng Liu
We investigate spectral properties of a Hermitised random matrix product which, contrary to previous product ensembles, allows for eigenvalues on the full real line. We prove that…