profile icon
Prof

Peter Forrester

Professor
Mathematics and Statistics
Statistical Mechanics
Random Matrices
Special Functions
science & technology
physical sciences
physics
physics, mathematical
mathematics
physics, multidisciplinary
Peter Forrester's Profile Picture
Prof

Peter Forrester

 
Division
Science
 
Primary Interest
Mathematical Physics
Peter Forrester's Profile Picture
Prof

Peter Forrester

 
Print
Peter's  Short Profile
 

Projects

Displaying the 10 most recent projects from 10 for Peter Forrester.

Project icon

Expanding and linking random matrix theory

2021 - 2024
Active
Project icon

Random matrix products, loop equations and integrability

This project aims to research integrable structures inherent in random matrix products and loop equations. These are topics in random matrix..

2017 - 2020
Completed
Project icon

A synthesis of random matrix theory for applications in mathematics, physics and engineering

Random matrix theory, matrix theory where the elements are random, or the matrix chosen from an ensemble, is driven by its ever expanding ra..

2014 - 2017
Completed
Project icon

Characteristic polynomials in random matrix theory

Random matrix theory is the subject of an active international research effort, due to its broad range of applications including the statist..

2011 - 2015
Completed
Project icon

THE TOPOLOGY OF MINIMUM ENERGY CONFIGURATIONS

2012 - 2013
Completed
Project icon

The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes

The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are..

2009 - 2012
Completed
Project icon

Integrable structures in models of complex systems

The CI is in the happy circumstance of having almost completed (now in the proof reading stage) a large monograph on random matrices commiss..

2008 - 2011
Completed
Project icon

Mathematical studies on the statistical properties of complex systems

Introduced in the late `50's to model nuclear spectra, random matrices are now standard in the theory of quantum chaos, mesoscopic phenomena..

Project icon

Theory and Applications of Hypergeometric Series

Techniques based on hypergeometric series lie at the heart of an exciting and rapidly developing class of mathematical methods, with applica..

Project icon

Random matrix theory and high dimensional inference

The topic of high dimensional inference and random matrix theory is one of present international prominence, as evidenced by the number of s..

10

Projects

Project Types

9

Research Grant

1

Internal Research Grant

Scholarly Works

Displaying the 10 most recent scholarly works from 271 for Peter Forrester.

Scholarly works icon

Asymptotic correlations with corrections for the circular Jacobi β-ensemble

PJ Forrester, SH Li, AK Trinh

Journal article  |  2021  |  Journal of Approximation Theory

Previous works have considered the leading correction term to the scaled limit of various correlation functions and distributions ..

Scholarly works icon

Quantifying Dip-Ramp-Plateau for the Laguerre Unitary Ensemble Structure Function

Peter J Forrester

Journal article  |  2021  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

The ensemble average of |∑j=1Neikλj|2 is of interest as a probe of quantum chaos, as is its connected part, the structure function..

Scholarly works icon

Harmonic analysis for rank-1 randomised Horn problems

Jiyuan Zhang, Mario Kieburg, Peter J Forrester

Journal article  |  2021  |  LETTERS IN MATHEMATICAL PHYSICS

The randomised Horn problem, in both its additive and multiplicative versions, has recently drawn an increasing interest. Especial..

Scholarly works icon

Rate of convergence at the hard edge for various Polya ensembles of positive definite matrices

Peter J Forrester, Shi-Hao Li

Journal article  |  2021  |  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

The theory of Pólya ensembles of positive definite random matrices provides structural formulas for the corresponding biorthogonal..

Scholarly works icon

The classical beta-ensembles with beta proportional to 1/N: From loop equations to Dyson's disordered chain

PJ Forrester, G Mazzuca

Journal article  |  2021  |  JOURNAL OF MATHEMATICAL PHYSICS

In the classical β-ensembles of random matrix theory, setting β = 2α/N and taking the N → ∞ limit gives a statistical state depend..

Scholarly works icon

Relations between moments for the Jacobi and Cauchy random matrix ensembles

Peter J Forrester, Anas A Rahman

Journal article  |  2021  |  JOURNAL OF MATHEMATICAL PHYSICS

We outline a relation between the densities for the β-ensembles with respect to the Jacobi weight (1 − x)a(1 + x)b supported on th..

Scholarly works icon

Linear differential equations for the resolvents of the classical matrix ensembles

Anas A Rahman, Peter J Forrester

Journal article  |  2021  |  RANDOM MATRICES-THEORY AND APPLICATIONS

The spectral density for random matrix β ensembles can be written in terms of the average of the absolute value of the characteris..

Scholarly works icon

Classical skew orthogonal polynomials in a two-component log-gas with charges 1 and 2

Peter J Forrester, Shi-Hao Li

Journal article  |  2021  |  ADVANCES IN MATHEMATICS

There is a two-component log-gas system with Boltzmann factor which provides an interpolation between the eigenvalue probability d..

Scholarly works icon

Differential Identities for the Structure Function of Some Random Matrix Ensembles

PJ Forrester

Journal article  |  2021  |  Journal of Statistical Physics

The structure function of a random matrix ensemble can be specified in terms of the covariance of the linear statistics ∑j=1Neik1λ..

Scholarly works icon

Moments of the ground state density for the d-dimensional Fermi gas in an harmonic trap

Peter J Forrester

Journal article  |  2021  |  RANDOM MATRICES-THEORY AND APPLICATIONS

We consider properties of the ground state density for the d-dimensional Fermi gas in an harmonic trap. Previous work has shown th..

271

Scholarly Works

Keyword Analysis

Expanding Knowledge
Mathematical Physics
Pure Mathematics
Statistics
Applied Mathematics
Other Mathematical Sciences
Quantum Physics
Particle and High Energy Physics
Classical Physics
Other Physical Sciences

Honours, Awards and Fellowships

1993

Australian Mathematical Society
1986

Australian National University
1981

The University of Melbourne
2004

FAA - Fellow of the Australian Academy of Science

2000

Fellow of the Australian Mathematical Society

5

Awards

Credentials

Positions

Professor

Mathematics and Statistics

Fellow

Australian Mathematical Society

Education

Doctor of Philosophy

The Australian National University

Links