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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

 
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Projects

Displaying the 10 most recent projects by Peter Forrester.

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Expanding and linking random matrix theory

2021 - 2024
Active
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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
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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
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THE TOPOLOGY OF MINIMUM ENERGY CONFIGURATIONS

2012 - 2013
Completed
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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
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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
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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
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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..

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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..

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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 by Peter Forrester.

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Phase Transitions for Products of Characteristic Polynomials under Dyson Brownian Motion

Peter J Forrester, Dang-Zheng Liu

Journal article  |  2020  |  Acta Mathematica Sinica, English Series

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Lyapunov Exponents for Some Isotropic Random Matrix Ensembles

PJ Forrester, Jiyuan Zhang

Journal article  |  2020  |  Journal of Statistical Physics

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How Many Eigenvalues of a Product of Truncated Orthogonal Matrices are Real?

PJ Forrester, JR Ipsen, S Kumar

Journal article  |  2020  |  Experimental Mathematics

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Parametrising correlation matrices

Peter J Forrester, Jiyuan Zhang

Journal article  |  2020  |  Journal of Multivariate Analysis

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Schwinger-Dyson and loop equations for a product of square Ginibre random matrices

Stephane Dartois, Peter J Forrester

Journal article  |  2020  |  Journal of Physics A: Mathematical and Theoretical

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

PJ Forrester

Journal article  |  2020  |  Random Matrices Theory and Application

We consider properties of the ground state density for the [Formula: see text]-dimensional Fermi gas in an harmonic trap. Previous..

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CLASSICAL DISCRETE SYMPLECTIC ENSEMBLES ON THE LINEAR AND EXPONENTIAL LATTICE: SKEW ORTHOGONAL POLYNOMIALS AND CORRELATION FUNCTIONS

Peter J Forrester, Shi-Hao Li

Journal article  |  2020  |  Transactions of the American Mathematical Society

The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalized to discrete settin..

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Linear differential equations for the resolvents of the classical matrix ensembles

AA Rahman, PJ Forrester

Journal article  |  2020  |  Random Matrices Theory and Application

The spectral density for random matrix [Formula: see text] ensembles can be written in terms of the average of the absolute value ..

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MATRIX POLAR DECOMPOSITION AND GENERALISATIONS OF THE BLASCHKE-PETKANTSCHIN FORMULA IN INTEGRAL GEOMETRY

Peter J Forrester

Journal article  |  2020  |  Moscow Mathematical Journal

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A generalisation of the relation between zeros of the complex Kac polynomial and eigenvalues of truncated unitary matrices

Peter J Forrester, Jesper R Ipsen

Journal article  |  2019  |  Probability Theory and Related Fields

254

Scholarly Works

Keyword Analysis

Non-Oriented Research
Expanding Knowledge
Mathematics
Statistics
Mathematical Physics
Pure Mathematics
Other Mathematical Sciences
Theoretical and Condensed Matter Physics
Applied Mathematics
Quantum Physics

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

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