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
5 papers · 2 filters
Real eigenvalue statistics for products of asymmetric real Gaussian matrices
P. J. Forrester, J. R. Ipsen
Random matrices formed from i.i.d. standard real Gaussian entries have the feature that the expected number of real eigenvalues is non-zero. This property persists for products of…
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Luigi Cantini, Alexandr Garbali, Jan de Gier +1
We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corol…
The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices
Peter J. Forrester, Santosh Kumar
The probability that all eigenvalues of a product of independent sub-blocks of a Haar distributed random real orthogonal matrix of size , $…
A new generalisation of Macdonald polynomials
Alexandr Garbali, Jan de Gier, Michael Wheeler
We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters and polynomial in a further two parameters $…
Isotropic Brownian motions over complex fields as a solvable model for May-Wigner stability analysis
J. R. Ipsen, H. Schomerus
We consider matrix-valued stochastic processes known as isotropic Brownian motions, and show that these can be solved exactly over complex fields. While these processes appear in a…