Peter Forrester

Lyapunov Exponents for Some Isotropic Random Matrix Ensembles

PJ Forrester, J Zhang

Journal article  |  2020  |  Journal of Statistical Physics

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

Recursion scheme for the largest beta-Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport

Peter J Forrester, Santosh Kumar

Journal article  |  2019  |  Journal of Physics A: Mathematical and Theoretical

Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles

Peter J Forrester, Jesper R Ipsen, Dang-Zheng Liu, Lun Zhang

Journal article  |  2019  |  Random Matrices: Theory and Applications

In this paper, we highlight the role played by orthogonal and symplectic Harish-Chandra integrals in the study of real-valued matr..

Multiplicative convolution of real asymmetric and real anti-symmetric matrices

Mario Kieburg, Peter J Forrester, Jesper R Ipsen

Journal article  |  2019  |  Advances in Pure and Applied Mathematics

Abstract The singular values of products of standard complex Gaussian random matrices, or sub-blocks of Haar distribut..

Finite-size corrections at the hard edge for the Laguerre beta ensemble

Peter J Forrester, Allan K Trinh

Journal article  |  2019  |  Studies in Applied Mathematics

Meet Andreief, Bordeaux 1886, and Andreev, Kharkov 1882-1883

Peter J Forrester

Journal article  |  2019  |  Random Matrices: Theory and Applications

Volumes for SLN(R), the Selberg Integral and Random Lattices

Peter J Forrester

Journal article  |  2019  |  Foundations of Computational Mathematics

Optimal soft edge scaling variables for the Gaussian and Laguerre even beta ensembles

Peter J Forrester, Allan K Trinh

Journal article  |  2019  |  Nuclear Physics B

The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices

Peter J Forrester, Santosh Kumar

Journal article  |  2018  |  Journal of Theoretical Probability

Integrable structure of products of finite complex Ginibre random matrices

Vladimir V Mangazeev, Peter J Forrester

Journal article  |  2018  |  Physica D: Nonlinear Phenomena

Kac-Rice fixed point analysis for single- and multi-layered complex systems

JR Ipsen, PJ Forrester

Journal article  |  2018  |  Journal of Physics A: Mathematical and Theoretical

Comment on "Sum of squares of uniform random variables" by I. Weissman

Peter J Forrester

Journal article  |  2018  |  Statistics & Probability Letters

Volumes and distributions for random unimodular complex and quaternion lattices

Peter J Forrester, Jiyuan Zhang

Journal article  |  2018  |  Journal of Number Theory

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

PJ Forrester, JR Ipsen, S Kumar

Journal article  |  2018  |  Experimental Mathematics

Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE

Peter J Forrester, Allan K Trinh

Journal article  |  2018  |  Journal of Mathematical Physics

Matrix Product Ensembles of Hermite Type and the Hyperbolic Harish-Chandra-Itzykson-Zuber Integral

PJ Forrester, JR Ipsen, Dang-Zheng Liu

Journal article  |  2018  |  Annales Henri Poincaré

Selberg integral theory and Muttalib-Borodin ensembles

PJ Forrester, JR Ipsen

Journal article  |  2018  |  Advances in Applied Mathematics

Large N expansions for the Laguerre and Jacobi beta-ensembles from the loop equations

Peter J Forrester, Anas A Rahman, Nicholas S Witte

Journal article  |  2017  |  Journal of Mathematical Physics

Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros

Folkmar Bornemann, Peter J Forrester, Anthony Mays

Journal article  |  2017  |  Studies in Applied Mathematics

Octonions in random matrix theory

Peter J Forrester

Journal article  |  2017  |  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

A BILATERAL EXTENSION OF THE q-SELBERG INTEGRAL

Masahiko Ito, Peter J Forrester

Journal article  |  2017  |  Transactions of the American Mathematical Society

Singular Values of Products of Ginibre Random Matrices

NS Witte, PJ Forrester

Journal article  |  2017  |  Studies in Applied Mathematics

Hurwitz and the origins of random matrix theory in mathematics

Persi Diaconis, Peter J Forrester

Journal article  |  2017  |  Random Matrices: Theory and Applications

Muttalib-Borodin ensembles in random matrix theory - realisations and correlation functions

Peter J Forrester, Dong Wang

Journal article  |  2017  |  Electronic Journal of Probability

Real eigenvalue statistics for products of asymmetric real Gaussian matrices

Peter J Forrester, Jesper R Ipsen

Journal article  |  2016  |  Linear Algebra and its Applications

Scaling of boson sampling experiments

PD Drummond, B Opanchuk, L Rosales-Zarate, MD Reid, PJ Forrester

Journal article  |  2016  |  Physical Review A

Singular values and evenness symmetry in random matrix theory

Folkmar Bornemann, Peter J Forrester

Journal article  |  2016  |  Forum Mathematicum

Singular Values for Products of Complex Ginibre Matrices with a Source: Hard Edge Limit and Phase Transition

Peter J Forrester, Dang-Zheng Liu

Journal article  |  2016  |  Communications in Mathematical Physics

Analogies between random matrix ensembles and the one-component plasma in two-dimensions

Peter J Forrester

Journal article  |  2016  |  Nuclear Physics B

Hydrodynamical spectral evolution for random matrices

Peter J Forrester, Jacek Grela

Journal article  |  2016  |  Journal of Physics A: Mathematical and Theoretical

Relating the Bures Measure to the Cauchy Two-Matrix Model

Peter J Forrester, Mario Kieburg

Journal article  |  2016  |  Communications in Mathematical Physics

Finite-size corrections in random matrix theory and Odlyzko's dataset for the Riemann zeros

Peter J Forrester, Anthony Mays

Journal article  |  2015  |  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble

Peter J Forrester

Journal article  |  2015  |  Journal of Physics A: Mathematical and Theoretical

Equilibrium problems for Raney densities

Peter J Forrester, Dang-Zheng Liu, Paul Zinn-Justin

Journal article  |  2015  |  Nonlinearity

Painlev, II in Random Matrix Theory and Related Fields

Peter J Forrester, Nicholas S Witte

Journal article  |  2015  |  Constructive Approximation

Asymptotics of finite system Lyapunov exponents for some random matrix ensembles

Peter J Forrester

Journal article  |  2015  |  Journal of Physics A: Mathematical and Theoretical

The q-Dixon-Anderson integral and multi-dimensional (1)psi(1) summations

Masahiko Ito, Peter J Forrester

Journal article  |  2015  |  Journal of Mathematical Analysis and Applications

Exact and Asymptotic Features of the Edge Density Profile for the One Component Plasma in Two Dimensions

T Can, PJ Forrester, G Tellez, P Wiegmann

Journal article  |  2015  |  Journal of Statistical Physics

Raney Distributions and Random Matrix Theory

Peter J Forrester, Dang-Zheng Liu

Journal article  |  2015  |  Journal of Statistical Physics

Loop equation analysis of the circular beta ensembles

NS Witte, PJ Forrester

Journal article  |  2015  |  Journal of High Energy Physics

Local Central Limit Theorem for Determinantal Point Processes

Peter J Forrester, Joel L Lebowitz

Journal article  |  2014  |  Journal of Statistical Physics

Eigenvalue statistics for product complex Wishart matrices

Peter J Forrester

Journal article  |  2014  |  Journal of Physics A: Mathematical and Theoretical

Moments of the Gaussian beta ensembles and the large-N expansion of the densities

NS Witte, PJ Forrester

Journal article  |  2014  |  Journal of Mathematical Physics

Ramanujan's 1 psi 1 summation theorem-perspective, announcement of bilateral q-Dixon Andersonand q-Selberg integral extensions, and context

Masahiko Ito, Peter J Forrester

Journal article  |  2014  |  Proceedings of the Japan Academy, Series A, Mathematical Sciences

Singular behavior at the edge of Laughlin states

T Can, PJ Forrester, G Tellez, P Wiegmann

Journal article  |  2014  |  Physical Review B

Probability of all eigenvalues real for products of standard Gaussian matrices

Peter J Forrester

Journal article  |  2014  |  Journal of Physics A: Mathematical and Theoretical

The Golden-Thompson inequality: Historical aspects and random matrix applications

Peter J Forrester, Colin J Thompson

Journal article  |  2014  |  Journal of Mathematical Physics

Asymptotics of spacing distributions 50 years later

Peter J Forrester

Book Chapter  |  2014

Random Matrix Theory, Interacting Particle Systems, and Integrable Systems Preface

Percy Deift, Peter Forrester

Book  |  2014

PROBABILITY DENSITIES AND DISTRIBUTIONS FOR SPIKED AND GENERAL VARIANCE WISHART beta-ENSEMBLES

Peter J Forrester

Journal article  |  2013  |  Random Matrices: Theory and Applications

The averaged characteristic polynomial for the Gaussian and chiral Gaussian ensembles with a source

Peter J Forrester

Journal article  |  2013  |  Journal of Physics A: Mathematical and Theoretical

Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations

Peter J Forrester

Journal article  |  2013  |  Journal of Physics A - Mathematical and Theoretical

Lyapunov Exponents for Products of Complex Gaussian Random Matrices

Peter J Forrester

Journal article  |  2013  |  Journal of Statistical Physics

Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles

NS Witte, F Bornemann, PJ Forrester

Journal article  |  2013  |  Nonlinearity

ASYMPTOTICS OF SPACING DISTRIBUTIONS AT THE HARD EDGE FOR beta-ENSEMBLES

Peter J Forrester

Journal article  |  2013  |  Random Matrices: Theory and Applications

Reunion Probability of N Vicious Walkers: Typical and Large Fluctuations for Large N

Gregory Schehr, Satya N Majumdar, Alain Comtet, Peter J Forrester

Journal article  |  2013  |  Journal of Statistical Physics

ON THE VARIANCE OF THE INDEX FOR THE GAUSSIAN UNITARY ENSEMBLE

NS Witte, PJ Forrester

Journal article  |  2012  |  Random Matrices: Theory and Applications

Pfaffian point process for the Gaussian real generalised eigenvalue problem

Peter J Forrester, Anthony Mays

Journal article  |  2012  |  Probability Theory and Related Fields

Expanded Vandermonde Powers and Sum Rules for the Two-Dimensional One-Component Plasma

Gabriel Tellez, Peter J Forrester

Journal article  |  2012  |  Journal of Statistical Physics

Asymptotic forms for hard and soft edge general beta conditional gap probabilities (vol 859, pg 321, 2012)

Peter J Forrester, Nicholas S Witte

Journal article  |  2012  |  Nuclear Physics B

Asymptotic forms for hard and soft edge general beta conditional gap probabilities

Peter J Forrester, Nicholas S Witte

Journal article  |  2012  |  Nuclear Physics B

Non-intersecting Brownian walkers and Yang-Mills theory on the sphere (vol 844, pg 500, 2011)

Peter J Forrester, Satya N Majumdar, Gregory Schehr

Journal article  |  2012  |  Nuclear Physics, Section B

Large deviation eigenvalue density for the soft edge Laguerre and Jacobi beta-ensembles

Peter J Forrester

Journal article  |  2012  |  Journal of Physics A - Mathematical and Theoretical

Spectral density asymptotics for Gaussian and Laguerre beta-ensembles in the exponentially small region

Peter J Forrester

Journal article  |  2012  |  Journal of Physics A - Mathematical and Theoretical

A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals

Peter J Forrester, Eric M Rains

Journal article  |  2012  |  Communications in Mathematical Physics

A finitization of the bead process

Benjamin J Fleming, Peter J Forrester, Eric Nordenstam

Journal article  |  2012  |  Probability Theory and Related Fields

Fredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their lambda Generalization

NS Witte, PJ Forrester

Journal article  |  2012  |  Studies in applied mathematics

RANK PROBABILITIES FOR REAL RANDOM N x N x 2 TENSORS

Goran Bergqvist, Peter J Forrester

Journal article  |  2011  |  Electronic Communications in probability

One-component plasma on a spherical annulus and a random matrix ensemble

Jonit Fischmann, Peter J Forrester

Journal article  |  2011  |  Journal of Statistical Mechanics: Theory and Experiment

Connection preserving deformations and q-semi-classical orthogonal polynomials

Christopher M Ormerod, NS Witte, Peter J Forrester

Journal article  |  2011  |  Nonlinearity

Determinantal correlations for classical projection processes

Peter J Forrester, Taro Nagao

Journal article  |  2011  |  Journal of Statistical Mechanics: Theory and Experiment

A Generalized Plasma and Interpolation Between Classical Random Matrix Ensembles

Peter J Forrester, Christopher D Sinclair

Journal article  |  2011  |  Journal of Statistical Physics

Non-intersecting Brownian walkers and Yang-Mills theory on the sphere

Peter J Forrester, Satya N Majumdar, Gregory Schehr

Journal article  |  2011  |  Nuclear Physics, Section B

Jack polynomial fractional quantum Hall states and their generalizations

Wendy Baratta, Peter J Forrester

Journal article  |  2011  |  Nuclear Physics, Section B

Interlaced Particle Systems and Tilings of the Aztec Diamond

Benjamin J Fleming, Peter J Forrester

Journal article  |  2011  |  Journal of Statistical Physics

The limiting Kac random polynomial and truncated random orthogonal matrices

Peter J Forrester

Journal article  |  2010  |  Journal of Statistical Mechanics: Theory and Experiment

Edge effects in some perturbations of the Gaussian unitary ensemble

KE Bassler, PJ Forrester, NE Frankel

Journal article  |  2010  |  Journal of Mathematical Physics

Tridiagonal realization of the antisymmetric Gaussian beta-ensemble

Ioana Dumitriu, Peter J Forrester

Journal article  |  2010  |  Journal of Mathematical Physics

Log-Gases and Random Matrices (LMS-34)

PJ Forrester

Book  |  2010

Difference system for Selberg correlation integrals

Peter J Forrester, Masahiko Ito

Journal article  |  2010  |  Journal of Physics A - Mathematical and Theoretical

Differential equations for deformed Laguerre polynomials

Peter J Forrester, Christopher M Ormerod

Journal article  |  2010  |  Journal of Approximation Theory

Derivation of an eigenvalue probability density function relating to the Poincare disk

Peter J Forrester, Manjunath Krishnapur

Journal article  |  2009  |  Journal of Physics A - Mathematical and Theoretical

Matrix averages relating to Ginibre ensembles

Peter J Forrester, Eric M Rains

Journal article  |  2009  |  Journal of Physics A - Mathematical and Theoretical

Eigenvalue separation in some random matrix models

KE Bassler, PJ Forrester, NE Frankel

Journal article  |  2009  |  Journal of Mathematical Physics

A Method to Calculate Correlation Functions for beta=1 Random Matrices of Odd Size

Peter J Forrester, Anthony Mays

Journal article  |  2009  |  Journal of Statistical Physics

A Random Matrix Decimation Procedure Relating beta=2/(r 1) to beta=2(r 1)

Peter J Forrester

Journal article  |  2009  |  Communications in Mathematical Physics

THE ANTI-SYMMETRIC GUE MINOR PROCESS

Peter J Forrester, Eric Nordenstam

Journal article  |  2009  |  Moscow Mathematical Journal

Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble

Peter J Forrester, Taro Nagao

Journal article  |  2008  |  Journal of Physics A - Mathematical and Theoretical

A note on biorthogonal ensembles

Patrick Desrosiers, Peter J Forrester

Journal article  |  2008  |  Journal of Approximation Theory

The importance of the Selberg integral

Peter J Forrester, S Ole Warnaar

Journal article  |  2008  |  American Mathematical Society. Bulletin. New Series

On the gap probability generating function at the spectrum edge in the case of orthogonal symmetry

PJ Forrester

Conference Proceedings  |  2008  |  Contemporary Mathematics

Symmetrized models of last passage percolation and non-intersecting lattice paths

Peter J Forrester, Eric M Rains

Journal article  |  2007  |  Journal of Statistical Physics

Eigenvalue distributions for some correlated complex sample covariance matrices

PJ Forrester

Journal article  |  2007  |  Journal of Physics A: Mathematical and Theoretical

The distribution of the first eigenvalue spacing at the hard edge of the laguerre unitary ensemble

Peter J Forrester, Nicholas S Witte

Journal article  |  2007  |  Kyushu Journal of Mathematics

Eigenvalue statistics of the real Ginibre ensemble

PJ Forrester, T Nagao

Journal article  |  2007  |  Physical Review Letters

Eigenvalue statistics of the real Ginibre ensemble

Peter J Forrester, Taro Nagao

Journal article  |  2007  |  Physical review letters

Random discrete Schrodinger operators from random matrix theory

Jonathan Breuer, Peter J Forrester, Uzy Smilansky

Journal article  |  2007  |  Journal of Physics A - Mathematical and Theoretical

THE DISTRIBUTION OF THE FIRST EIGENVALUE SPACING AT THE HARD EDGE OF THE LAGUERRE UNITARY ENSEMBLE

Peter J FORRESTER, Nicholas S WITTE

Journal article  |  2007  |  Kyushu Journal of Mathematics

Eigenvalue distributions of some correlated complex sample covariance matrices

P FORRESTER

Journal article  |  2007  |  Journal of Physics A - Mathematical and Theoretical

Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry

PJ Forrester

Journal article  |  2006  |  Nonlinearity

Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions

PJ Forrester

Journal article  |  2006  |  Journal of Physics A - Mathematical and General

Analytic solutions of the one-dimensional finite-coupling delta-function Bose gas

PJ Forrester, NE Frankel, MI Makin

Journal article  |  2006  |  Physical Review A

Random matrix theory and the sixth Painleve equation

PJ Forrester, NS Witte

Journal article  |  2006  |  Journal of Physics A - Mathematical and General

Bi-orthogonal polynomials on the unit circle, regular semi-classical weights and integrable systems

PJ Forrester, NS Witte

Journal article  |  2006  |  Constructive Approximation

Evenness symmetry and inter-relationships between gap probabilities in random matrix theory

Peter J Forrester

Journal article  |  2006  |  Forum Mathematicum

Counting formulas associated with some random matrix averages

Peter J Forrester, Alex Gamburd

Journal article  |  2006  |  Journal of Combinatorial Theory Series A

Boundary conditions associated with the Painleve III ' and V evaluations of some random matrix averages

PJ Forrester, NS Witte

Journal article  |  2006  |  Journal of Physics A - Mathematical and General

Relationships between tau-functions and Fredholm determinant expressions for gap probabilities in random matrix theory

P Desrosiers, PJ Forrester

Journal article  |  2006  |  Nonlinearity

Quantum conductance problems and the Jacobi ensemble

PJ Forrester

Journal article  |  2006  |  Journal of Physics A - Mathematical and General

Hermite and Laguerre beta-ensembles: Asymptotic corrections to the Eigenvalue density

P Desrosiers, PJ Forrester

Journal article  |  2006  |  Nuclear Physics B - Proceedings Supplements

Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry

PJ Forrester, NE Frankel, TM Garoni

Journal article  |  2006  |  Journal of Mathematical Physics

Correlation functions for random involutions

Peter J Forrester, Taro Nagao, Ericm Rains

Journal article  |  2006  |  International Mathematics Research Notices

Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices

Peter J Forrester, Eric M Rains

Journal article  |  2006  |  International Mathematics Research Notices

Asymptotic correlations for Gaussian and Wishart matrices with external source

Patrick Desrosiers, Peter J Forrester

Journal article  |  2006  |  International Mathematics Research Notices

Asymptotic corrections to the eigenvalue density of the GUE and LUE

TM Garoni, PJ Forrester, NE Frankel

Journal article  |  2005  |  Journal of Mathematical Physics

Discrete Painleve equations for a class of P-VI tau-functions given as U(N) averages

PJ Forrester, NS Witte

Journal article  |  2005  |  Nonlinearity

Averages of ratios of characteristic polynomials for the compact classical groups

JB Conrey, PJ Forrester, NC Snaith

Journal article  |  2005  |  International Mathematics Research Notices

Spacing distributions in random matrix ensembles

Peter J Forrester

Book Chapter  |  2005  |  London Mathematical Society Lecture Note Series

Interpretations of some parameter dependent generalizations of classical matrix ensembles

PJ Forrester, EM Rains

Journal article  |  2005  |  Probability Theory and Related Fields

Random matrix theoiry II: algebraic developments

PJ FORRESTER

Scholarly edition  |  2005

Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter

PJ Forrester, EM Rains

Journal article  |  2004  |  Probability Theory and Related Fields

Singularity dominated strong fluctuations for some random matrix averages

PJ Forrester, JP Keating

Journal article  |  2004  |  Communications in Mathematical Physics

Application of the tau-function theory of Painleve equations to random matrices: P-VI, the JUE, CyUE, cJUE and scaled limits

PJ Forrester, NS Witte

Journal article  |  2004  |  Nagoya Mathematical Journal

Applications and generalizations of Fisher-Hartwig asymptotics

PJ Forrester, NE Frankel

Journal article  |  2004  |  Journal of Mathematical Physics

Statistical properties of the primes and the Riemann zeros

PJ FORRESTER

Journal article  |  2004  |  Australian Mathematical Society Gazette

Discrete Painleve equations, orthogonal polynomials on the unit circle, and N-recurrences for averages over U(N)-P-III ', and P-V tau-functions

PJ Forrester, NS Witte

Journal article  |  2004  |  International Mathematics Research Notices

Pieri-type formulas for the non-symmetric Jack polynomials

PJ Forrester, DS McAnally

Journal article  |  2004  |  Commentarii Mathematici Helvetici

Discrete Painleve equations and random matrix averages

PJ Forrester, NS Witte

Journal article  |  2003  |  Nonlinearity

Growth models, random matrices and Painleve transcendents

PJ Forrester

Journal article  |  2003  |  Nonlinearity

Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions

PJ Forrester, NE Frankel, TM Garoni

Journal article  |  2003  |  Journal of Mathematical Physics

Dynamical correlations for circular ensembles of random matrices

T Nagao, PJ Forrester

Journal article  |  2003  |  Nuclear Physics, Section B

Finite one-dimensional impenetrable Bose systems: Occupation numbers

PJ Forrester, NE Frankel, TM Garoni, NS Witte

Journal article  |  2003  |  Physical Review A

Increasing subsequences and the hard-to-soft edge transition in matrix ensembles

A Borodin, PJ Forrester

Journal article  |  2003  |  Journal of Physics A - Mathematical and General

Developments in random matrix theory

PJ Forrester, NC Snaith, JJM Verbaarschot

Journal article  |  2003  |  J.Phys. A

Painleve transcendent evaluations of finite system density matrices for 1d impenetrable bosons

PJ Forrester, NE Frankel, TM Garoni, NS Witte

Journal article  |  2003  |  Communications in Mathematical Physics

Integrability, random matrices and Painleve transcendents

NS Witte, PJ Forrester, CM Cosgrove

Conference Proceedings  |  2002  |  The ANZIAM Journal

Application of the tau-function theory of Painleve' equations to random matrices: PV, P-III, the LUE, JUE, and CUE

PJ Forrester, NS Witte

Journal article  |  2002  |  Communications on Pure and Applied Mathematics

tau-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles

PJ Forrester, NS Witte

Journal article  |  2002  |  Nonlinearity

Vicious random walkers and a discretization of Gaussian random matrix ensembles

T Nagao, PJ Forrester

Journal article  |  2002  |  Nuclear Physics, Section B

T-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles

PJ FORRESTER, NS WITTE

Journal article  |  2002  |  Nonlinearity

On the evaluation formula for Jack polynomials with prescribed symmetry

PJ Forrester, DS McAnally, Y Nikoyalevsky

Journal article  |  2001  |  Journal of Physics A - Mathematical and General

Correlations for the Cauchy and generalized circular ensembles with orthogonal and symplectic symmetry

PJ Forrester, T Nagao

Journal article  |  2001  |  Journal of Physics A - Mathematical and General

Random walks and random permutations

PJ Forrester

Journal article  |  2001  |  Journal of Physics A - Mathematical and General

Random walks and random fixed-point free involutions

TH Baker, PJ Forrester

Journal article  |  2001  |  Journal of Physics A - Mathematical and General

Application of the tau-function theory of Painleve equations to random matrices: PIV, PII and the GUE

PJ Forrester, NS Witte

Journal article  |  2001  |  Communications in Mathematical Physics

Analytic properties of the structure function for the one-dimensional one-component log-gas

PJ Forrester, B Jancovici, DS McAnally

Journal article  |  2001  |  Journal of Statistical Physics

Analytic properties of the structure function for the one-dimensional one-component log-gas

PJ Forrester, B Jancovici, DS McAnally

Journal article  |  2001  |  JOURNAL OF STATISTICAL PHYSICS

Application of the tau-function theory of Painleve equations to random matrices: PIV, PII and the GUE

PJ FORRESTER, NS WITTE

Journal article  |  2001  |  Communications in Mathematical Physics

Interrelationships between orthogonal, unitary and symplectic matrix ensembles

PJ FORRESTER, EM RAINS

Book Chapter  |  2001

Gap probabilities in the finite and scaled Cauchy random matrix ensembles

NS Witte, PJ Forrester

Journal article  |  2000  |  Nonlinearity

Gap, probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles

NS Witte, PJ Forrester, CM Cosgrove

Journal article  |  2000  |  Nonlinearity

Exact Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensembles

PJ Forrester, NS Witte

Journal article  |  2000  |  Letters in Mathematical Physics

On a Jacobian identity associated with real hyperplane arrangements

K Aomoto, PJ Forrester

Journal article  |  2000  |  Compositio Mathematica

Isomorphisms of type A affine Hecke algebras and multivariable orthogonal polynomials

TH Baker, PJ Forrester

Journal article  |  2000  |  Pacific Journal of Mathematics

Classical skew orthogonal polynomials and random matrices

M Adler, PJ Forrester, T Nagao, P van Moerbeke

Journal article  |  2000  |  Journal of Statistical Physics

Multivariable Al-Salam & Carlitz polynomials associated with the type A q-Dunkl kernel

TH Baker, PJ Forrester

Journal article  |  2000  |  Mathematische Nachrichten

Quaternion determinant expressions for multilevel dynamical correlation functions of parametric random matrices

T Nagao, PJ Forrester

Journal article  |  1999  |  Nuclear Physics B

Exact finite-size study of the 2D OCP at Gamma=4 and Gamma=6

G Tellez, PJ Forrester

Journal article  |  1999  |  Journal of Statistical Physics

Exact finite-size study of the 2D OCP at Γ = 4 and Γ = 6

G Téllez, PJ Forrester

Journal article  |  1999  |  Journal of Statistical Physics

Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges

PJ Forrester, T Nagao, G Honner

Journal article  |  1999  |  Nuclear Physics B

Exact statistical properties of the zeros of complex random polynomials

PJ Forrester, G Honner

Journal article  |  1999  |  Journal of Physics A: Mathematical and General

Fluctuation formula for complex random matrices

PJ Forrester

Journal article  |  1999  |  Journal of Physics A: Mathematical and General

Correlations for the circular Dyson brownian motion model with Poisson initial conditions

PJ Forrester, T Nagao

Journal article  |  1998  |  Nuclear Physics B

Transitive ensembles of random matrices related to orthogonal polynomials

T Nagao, PJ Forrester

Journal article  |  1998  |  Nuclear Physics B

Nonsymmetric Jack polynomials and integral kernels

TH Baker, PJ Forrester

Journal article  |  1998  |  Duke Mathematical Journal

Multilevel dynamical correlation functions for Dyson's Brownian motion model of random matrices

T Nagao, PJ Forrester

Journal article  |  1998  |  Physics Letters A

Random matrix ensembles with an effective extensive external charge

TH Baker, PJ Forrester, PA Pearce

Journal article  |  1998  |  Journal of Physics A: Mathematical and General

Exact results for two-dimensional Coulomb systems

PJ Forrester

Journal article  |  1998  |  Physics Reports

The smallest eigenvalue distribution at the spectrum edge of random matrices

T Nagao, PJ Forrester

Journal article  |  1998  |  Nuclear Physics B

Generalizations of the q-Morris constant term identity

TH Baker, PJ Forrester

Journal article  |  1998  |  Journal of Combinatorial Theory, Series A

Correlations for parameter-dependent random matrices

PJ Forrester, T Nagao

Journal article  |  1997  |  Journal of Statistical Physics

The Calogero-Sutherland model and generalized classical polynomials

TH Baker, PJ Forrester

Journal article  |  1997  |  Communications in Mathematical Physics

Finite-N fluctuation formulas for random matrices

TH Baker, PJ Forrester

Journal article  |  1997  |  Journal of Statistical Physics

The Calogero-Sutherland model and polynomials with prescribed symmetry

TH Baker, PJ Forrester

Journal article  |  1997  |  Nuclear Physics B

Exact and asymptotic formulas for overdamped Brownian dynamics

PJ Forrester, B Jancovici

Journal article  |  1997  |  Physica A: Statistical Mechanics and its Applications

Modelling with differential and difference equations

G Fulford, P Forrester, A Jones

Book  |  1997

A q-analogue of the type A Dunkl operator and integral kernel

TH Baker, PJ Forrester

Journal article  |  1997  |  International Mathematics Research Notices

Gaussian unitary ensemble eigenvalues and Riemann zeta function zeros: A nonlinear equation for a new statistic

PJ Forrester, AM Odlyzko

Journal article  |  1996  |  Physical Review E

Applications of the Dotsenko-Fateev integral in random-matrix models

PJ Forrester, JA Zuk

Journal article  |  1996  |  Nuclear Physics B

Universality in some classical Coulomb systems of restricted dimension

PJ Forrester, B Jancovici, G Tellez

Journal article  |  1996  |  Journal of Statistical Physics

The two-dimensional two-component plasma plus background on a sphere: Exact results

PJ Forrester, B Jancovici

Journal article  |  1996  |  Journal of Statistical Physics

Two-dimensional one-component plasma in a quadrupolar field

PJ Forrester, B Jancovici

Journal article  |  1996  |  International Journal of Modern Physics A

Jack polynomials and the multi-component Calogero-Sutherland model

PJ Forrester

Journal article  |  1996  |  International Journal of Modern Physics B

Some exact correlations in the dyson Brownian motion model for transitions to the CUE

PJ Forrester

Journal article  |  1996  |  Physica A: Statistical Mechanics and its Applications

CORRELATIONS IN 2-COMPONENT LOG-GAS SYSTEMS

A ALASTUEY, PJ FORRESTER

Journal article  |  1995  |  Journal of Statistical Physics

A TESTBENCH FOR THE NESTED DIPOLE HYPOTHESIS OF KOSTERLITZ AND THOULESS

A ALASTUEY, PJ FORRESTER

Journal article  |  1995  |  Journal of Statistical Physics

GLOBAL FLUCTUATION FORMULAS AND UNIVERSAL CORRELATIONS FOR RANDOM MATRICES AND LOG-GAS SYSTEMS AT INFINITE DENSITY

PJ FORRESTER

Journal article  |  1995  |  Nuclear Physics B

ASYMPTOTIC CORRELATIONS AT THE SPECTRUM EDGE OF RANDOM MATRICES

T NAGAO, PJ FORRESTER

Journal article  |  1995  |  Nuclear Physics B

EXACT GROUND-STATE CORRELATIONS IN THE SUPERSYMMETRIC 1/R(2) EXCHANGE T-J MODEL

PJ FORRESTER

Journal article  |  1995  |  Physics Letters A

EXACT CALCULATION OF THE GROUND-STATE SINGLE-PARTICLE GREENS-FUNCTION FOR THE 1/R(2) QUANTUM MANY-BODY SYSTEM AT INTEGER COUPLING

PJ FORRESTER

Journal article  |  1995  |  Journal of Mathematical Physics

Exact ground state correlations in the supersymmetric 1 r2 exchange t-J model

PJ Forrester

Journal article  |  1994  |  Physics Letters A

COMPLEX WISHART MATRICES AND CONDUCTANCE IN MESOSCOPIC SYSTEMS - EXACT RESULTS

PJ FORRESTER, TD HUGHES

Journal article  |  1994  |  Journal of Mathematical Physics

DERIVATION OF AN ASYMPTOTIC EXPRESSION IN BEENAKKERS GENERAL FLUCTUATION FORMULA FOR RANDOM-MATRIX CORRELATIONS NEAR AN EDGE

B JANCOVICI, PJ FORRESTER

Journal article  |  1994  |  Physical Review B

PROPERTIES OF AN EXACT CRYSTALLINE MANY-BODY GROUND-STATE

PJ FORRESTER

Journal article  |  1994  |  Journal of Statistical Physics

EXACT RESULTS AND UNIVERSAL ASYMPTOTICS IN THE LAGUERRE RANDOM-MATRIX ENSEMBLE

PJ FORRESTER

Journal article  |  1994  |  Journal of Mathematical Physics

SELBERG CORRELATION INTEGRALS AND THE 1/R(2) QUANTUM MANY-BODY SYSTEM

PJ FORRESTER

Journal article  |  1994  |  Nuclear Physics B

FORMULAS FOR THE EVALUATION OF TOEPLITZ DETERMINANTS WITH RATIONAL GENERATING-FUNCTIONS

EL BASOR

Journal article  |  1994  |  Mathematische Nachrichten

THE SPECTRUM EDGE OF RANDOM-MATRIX ENSEMBLES

PJ FORRESTER

Journal article  |  1993  |  Nuclear Physics B

EXACT INTEGRAL FORMULAS AND ASYMPTOTICS FOR THE CORRELATIONS IN THE 1/R(2) QUANTUM MANY-BODY SYSTEM

PJ FORRESTER

Journal article  |  1993  |  Physics Letters A

RECURRENCE EQUATIONS FOR THE COMPUTATION OF CORRELATIONS IN THE 1/R(2) QUANTUM MANY-BODY SYSTEM

PJ FORRESTER

Journal article  |  1993  |  Journal of Statistical Physics

LOG-GASES, RANDOM MATRICES AND THE FISHER-HARTWIG CONJECTURE

PJ FORRESTER

Journal article  |  1993  |  Journal of Physics A: Mathematical and General

STATISTICAL PROPERTIES OF THE EIGENVALUE MOTION OF HERMITIAN MATRICES

PJ FORRESTER

Journal article  |  1993  |  Physics Letters A

SELBERG CORRELATION INTEGRALS AND THE 1/R2 QUANTUM MANY-BODY SYSTEM

PJ FORRESTER

Journal article  |  1992  |  Nuclear Physics B

EXACT EIGENSTATES OF SOME SPIN-1/2 HEISENBERG-CHAINS WITH 1/R2 EXCHANGE

PJ FORRESTER

Journal article  |  1992  |  Journal of Physics A: Mathematical and General

ON THE AVERAGE DISTANCE BETWEEN PARTICLES IN THE 2-DIMENSIONAL 2-COMPONENT PLASMA

PJ FORRESTER, B JANCOVICI

Journal article  |  1992  |  Journal of Statistical Physics

THE 2-DIMENSIONAL COULOMB GAS ON A SPHERE - EXACT RESULTS

PJ FORRESTER, B JANCOVICI, J MADORE

Journal article  |  1992  |  Journal of Statistical Physics

SOME STATISTICAL PROPERTIES OF THE EIGENVALUES OF COMPLEX RANDOM MATRICES

PJ FORRESTER

Journal article  |  1992  |  Physics Letters A

SOME MULTIDIMENSIONAL INTEGRALS RELATED TO MANY-BODY SYSTEMS WITH THE 1/R2 POTENTIAL

PJ FORRESTER

Journal article  |  1992  |  Journal of Physics A: Mathematical and General

THE HOLE PROBABILITY IN LOG-GAS AND RANDOM MATRIX SYSTEMS

PJ FORRESTER, C PISANI

Journal article  |  1992  |  Nuclear Physics B

SURFACE-TENSION FOR THE 2-COMPONENT PLASMA AT GAMMA = 2 NEAR AN INTERFACE

PJ FORRESTER

Journal article  |  1992  |  Journal of Statistical Physics

A CONSTANT TERM IDENTITY AND ITS RELATIONSHIP TO THE LOG-GAS AND SOME QUANTUM MANY-BODY SYSTEMS

PJ FORRESTER

Journal article  |  1992  |  Physics Letters A

FINITE-SIZE CORRECTIONS TO THE FREE-ENERGY OF COULOMB-SYSTEMS WITH A PERIODIC BOUNDARY-CONDITION

PJ FORRESTER

Journal article  |  1991  |  Journal of Statistical Physics

BLOCK TOEPLITZ MATRICES AND THE 2-DIMENSIONAL COULOMB GAS NEAR A WALL

PJ FORRESTER, TM MORROW

Journal article  |  1991  |  Journal of Statistical Physics

EXACT RESULTS FOR VICIOUS WALKER MODELS OF DOMAIN-WALLS

PJ FORRESTER

Journal article  |  1991  |  Journal of Physics A: Mathematical and General

Density and correlation functions for the two-component plasma at Γ=2 near a metal wall

PJ Forrester

Journal article  |  1991  |  The Journal of Chemical Physics

Exact solution of the lock step model of vicious walkers

PJ Forrester

Journal article  |  1990  |  Journal of Physics A: Mathematical and General

EXACT RESULTS FOR THE 2-DIMENSIONAL, 2-COMPONENT PLASMA AT GAMMA = 2 IN DOUBLY PERIODIC BOUNDARY-CONDITIONS

PJ FORRESTER

Journal article  |  1990  |  Journal of Statistical Physics

YANG-LEE THEORY AND THE CONDUCTOR INSULATOR TRANSITION IN ASYMMETRIC LOG-POTENTIAL LATTICE GASES

PJ FORRESTER

Journal article  |  1990  |  Journal of Statistical Physics

VICIOUS RANDOM WALKERS IN THE LIMIT OF A LARGE NUMBER OF WALKERS

PJ FORRESTER

Journal article  |  1989  |  Journal of Statistical Physics

PROBABILITY OF SURVIVAL FOR VICIOUS WALKERS NEAR A CLIFF

PJ FORRESTER

Journal article  |  1989  |  Journal of Physics A: Mathematical and General

EXACT RESULTS FOR CORRELATIONS IN A 2-COMPONENT LOG-GAS

PJ FORRESTER

Journal article  |  1989  |  Journal of Statistical Physics

CHARGED CLASSICAL-SYSTEMS AND BDJ-TYPE WAVEFUNCTIONS FOR QUANTUM FLUIDS

PJ FORRESTER

Journal article  |  1988  |  Journal of Physics C: Solid State Physics

SOLVABLE ISOTHERMS FOR A 2-COMPONENT SYSTEM OF CHARGED RODS ON A LINE

PJ FORRESTER

Journal article  |  1988  |  Journal of Statistical Physics

MODULATED PHASES AND THE MEAN-FIELD THEORY OF MAGNETISM WITH COMPETING INTERACTIONS

PJ FORRESTER, CJ THOMPSON

Journal article  |  1988  |  Journal of Statistical Physics

HEIGHT PROBABILITIES IN SOLID-ON-SOLID MODELS .2.

PJ FORRESTER, GE ANDREWS

Journal article  |  1987  |  Journal of Physics A: Mathematical and General

Partitions with Prescribed Hook Differences

GE Andrews, RJ Baxter, DM Bressoud, WH Burge, PJ Forrester, G Viennot

Journal article  |  1987  |  European Journal of Combinatorics

HEIGHT PROBABILITIES IN SOLID-ON SOLID MODELS .1.

PJ FORRESTER, GE ANDREWS

Journal article  |  1986  |  Journal of Physics A: Mathematical and General

POSITIVE AND NEGATIVE CHARGED RODS ALTERNATING ALONG A LINE - EXACT RESULTS

PJ FORRESTER

Journal article  |  1986  |  Journal of Statistical Physics

CHARGED RODS IN A PERIODIC BACKGROUND - A SOLVABLE MODEL

PJ FORRESTER

Journal article  |  1986  |  Journal of Statistical Physics

EXACT CALCULATION OF THE LOCAL HEIGHT PROBABILITIES IN THE BODY-CENTERD SOS MODEL

PJ FORRESTER

Journal article  |  1986  |  Journal of Physics A: Mathematical and General

THE TWO-DIMENSIONAL ONE-COMPONENT PLASMA AT GAMMA=2 - METALLIC BOUNDARY

PJ FORRESTER

Journal article  |  1985  |  Journal of Physics A: Mathematical and General

FURTHER EXACT-SOLUTIONS OF THE 8-VERTEX SOS MODEL AND GENERALIZATIONS OF THE ROGERS-RAMANUJAN IDENTITIES

PJ FORRESTER, RJ BAXTER

Journal article  |  1985  |  Journal of Statistical Physics

THE IDEALLY POLARIZABLE INTERFACE - THE METALLIC BOUNDARY LIMIT

A ALASTUEY, B JANCOVICI, L BLUM, PJ FORRESTER, ML ROSINBERG

Journal article  |  1985  |  The Journal of Chemical Physics

IS THE ZAMOLODCHIKOV MODEL CRITICAL

RJ BAXTER, PJ FORRESTER

Journal article  |  1985  |  Journal of Physics A: Mathematical and General

INTERPRETATION OF AN EXACTLY SOLVABLE 2-COMPONENT PLASMA

PJ FORRESTER

Journal article  |  1984  |  Journal of Statistical Physics

A VARIATIONAL APPROXIMATION FOR CUBIC LATTICE MODELS IN STATISTICAL-MECHANICS

RJ BAXTER, PJ FORRESTER

Journal article  |  1984  |  Journal of Physics A: Mathematical and General

GENERALIZED PLASMAS AND THE ANAMALOUS QUANTUM HALL-EFFECT

PJ FORRESTER, B JANCOVICI

Journal article  |  1984  |  Journal de Physique Lettres

ANALOGS BETWEEN A QUANTUM MANY-BODY PROBLEM AND THE LOG-GAS

PJ FORRESTER

Journal article  |  1984  |  Journal of Physics A: Mathematical and General

8-VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN-TYPE IDENTITIES

GE ANDREWS, RJ BAXTER, PJ FORRESTER

Journal article  |  1984  |  Journal of Statistical Physics

THE TWO-DIMENSIONAL ONE-COMPONENT PLASMA AT GAMMA = 2 - BEHAVIOR OF CORRELATION-FUNCTIONS IN STRIP GEOMETRY

PJ FORRESTER, B JANCOVICI, ER SMITH

Journal article  |  1983  |  Journal of Statistical Physics

EXTENSIONS OF SEVERAL SUMMATION FORMULAS OF RAMANUJAN USING THE CALCULUS OF RESIDUES

PJ FORRESTER

Journal article  |  1983  |  Rocky Mountain Journal of Mathematics

THE TWO-DIMENSIONAL ONE-COMPONENT PLASMA AT GAMMA=2 - THE SEMIPERIODIC STRIP

P CHOQUARD, PJ FORRESTER, ER SMITH

Journal article  |  1983  |  Journal of Statistical Physics

SOME NEW LATTICE SUMS INCLUDING AN EXACT RESULT FOR THE ELECTROSTATIC POTENTIAL WITHIN THE NACL LATTICE

PJ FORRESTER, ML GLASSER

Journal article  |  1982  |  Journal of Physics A: Mathematical and General

EFFECTS OF SURFACE-CHARGE ON THE TWO-DIMENSIONAL ONE-COMPONENT PLASMA .2. INTERACTING DOUBLE-LAYERS

PJ FORRESTER, ER SMITH

Journal article  |  1982  |  Journal of Physics A: Mathematical and General