Publications

Prof. Peter FORRESTER

127 F. Bornemann, P. J. Forrester and A. Mays
Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros
Studies in Applied Mathematics, 2016, 1 - 84, IOP PUBLISHING LTD, 2017


126 N. S. Witte and P. J. Forrester
Singular Values of Products of Ginibre Random Matrices
Studies in applied mathematics, 138, Wiley-Blackwell Publishing, 2017


125 F. Bornemann, P. J. Forrester and A. Mays
Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros
Studies in applied mathematics, Wiley-Blackwell Publishing, 2017


124 M. Ito and P. J. Forrester
A BILATERAL EXTENSION OF THE q-SELBERG INTEGRAL
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 369, 2843 - 2878, AMER MATHEMATICAL SOC, 2017


123 N. S. Witte and P. J. Forrester
Singular Values of Products of Ginibre Random Matrices
STUDIES IN APPLIED MATHEMATICS, 138, 135 - 184, WILEY, 2017


122 M. Ito and P. J. Forrester
A BILATERAL EXTENSION OF THE q-SELBERG INTEGRAL
Transactions of the American Mathematical Society, 369, American Mathematical Society, 2017


121 F. Bornemann and P. J. Forrester
Singular values and evenness symmetry in random matrix theory
FORUM MATHEMATICUM, 28, 873 - 891, WALTER DE GRUYTER GMBH, 2016


120 P. J. Forrester and M. Kieburg
Relating the Bures Measure to the Cauchy Two-Matrix Model
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 342, 151 - 187, SPRINGER, 2016


119 P. J. Forrester
Analogies between random matrix ensembles and the one-component plasma in two-dimensions
Nuclear Physics, Section B, 904, Elsevier BV, 2016


118 P. D. Drummond, B. Opanchuk, L. Rosales-zarate, M. D. Reid and P. J. Forrester
Scaling of boson sampling experiments
PHYSICAL REVIEW A, 94, 873 - 891, AMER PHYSICAL SOC, 2016


117 P. J. Forrester and J. Ipsen
Real eigenvalue statistics for products of asymmetric real Gaussian matrices
LINEAR ALGEBRA AND ITS APPLICATIONS, 510, 259 - 290, ELSEVIER SCIENCE INC, 2016


116 P. J. Forrester
Analogies between random matrix ensembles and the one-component plasma in two-dimensions
NUCLEAR PHYSICS B, 904, 253 - 281, ELSEVIER SCIENCE BV, 2016


115 P. J. Forrester and J. Grela
Hydrodynamical spectral evolution for random matrices
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49, 151 - 187, IOP PUBLISHING LTD, 2016


114 P. J. Forrester and D. Liu
Raney Distributions and Random Matrix Theory
Journal of Statistical Physics, 158, Springer, 2015


113 M. Ito and P. J. Forrester
The q-Dixon-Anderson integral and multi-dimensional ψ11 summations
Journal of Mathematical Analysis and Applications, 423, Academic Press, 2015


112 T. Can, P. J. Forrester, G. Tellez and P. Wiegmann
Exact and Asymptotic Features of the Edge Density Profile for the One Component Plasma in Two Dimensions
Journal of Statistical Physics, 158, Springer, 2015


111 P. J. Forrester
Asymptotics of finite system Lyapunov exponents for some random matrix ensembles
Journal of Physics A - Mathematical and Theoretical, 48, Institute of Physics Publishing, 2015


110 N. S. Witte and P. J. Forrester
Loop equation analysis of the circular beta ensembles
Journal of High Energy Physics, International School in Advanced Studies, 2015


109 P. J. Forrester and N. S. Witte
Painlev, II in Random Matrix Theory and Related Fields
Constructive Approximation, 41, Springer, 2015


108 P. J. Forrester and A. Mays
Finite-size corrections in random matrix theory and Odlyzko's dataset for the Riemann zeros
Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences, 471, The Royal Society of London, 2015


107 P. J. Forrester and D. Z. Liu
Singular Values for Products of Complex Ginibre Matrices with a Source: Hard Edge Limit and Phase Transition
Communications in Mathematical Physics, Springer Verlag, 2015


106 P. J. Forrester
Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble
Journal of Physics A - Mathematical and Theoretical, 48, Institute of Physics Publishing, 2015


105 P. J. Forrester, D. Z. Liu and P. Zinn-justin
Equilibrium problems for Raney densities
Nonlinearity, 28, Institute of Physics Publishing, 2015


104 T. Can, P. J. Forrester, G. Tellez and P. Wiegmann
Singular behavior at the edge of Laughlin states
Physical Review B, 89, American Physical Society, 2014


103 N. S. Witte and P. J. Forrester
Moments of the Gaussian beta ensembles and the large-N expansion of the densities
Journal of Mathematical Physics, 55, American Institute of Physics, 2014


102 P. J. Forrester and J. L. Lebowitz
Local Central Limit Theorem for Determinantal Point Processes
Journal of Statistical Physics, 157, 60 - 69, Springer, 2014


101 M. Ito and P. J. Forrester
Ramanujan's 1 psi 1 summation theorem-perspective, announcement of bilateral q-Dixon Andersonand q-Selberg integral extensions, and context
Japan Academy. Proceedings. Series A: Mathematical Sciences, 90, The Japan Academy, 2014


100 T. Can, P. J. Forrester, G. Llez and P. Wiegmann
Exact and Asymptotic Features of the Edge Density Profile for the One Component Plasma in Two Dimensions
Journal of Statistical Physics, 158, Springer, 2014


99 P. J. Forrester
Eigenvalue statistics for product complex Wishart matrices
Journal of Physics A - Mathematical and Theoretical, 47, Institute of Physics Publishing, 2014


98 P. J. Forrester and C. Thompson
The Golden-Thompson inequality: Historical aspects and random matrix applications
Journal of Mathematical Physics, 55, American Institute of Physics, 2014


97 P. J. Forrester
Probability of all eigenvalues real for products of standard Gaussian matrices
Journal of Physics A - Mathematical and Theoretical, 47, Institute of Physics Publishing, 2014


96 P. J. Forrester and D. Z. Liu
Raney Distributions and Random Matrix Theory
Journal of Statistical Physics, 158, Springer, 2014


95 G. Schehr, S. N. Majumdar, A. Comtet and P. J. Forrester
Reunion Probability of N Vicious Walkers: Typical and Large Fluctuations for Large N
Journal of Statistical Physics, 150, 491 - 530, Springer, 2013


94 P. J. Forrester
Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations
Journal of Physics A - Mathematical and Theoretical, 46, Institute of Physics Publishing, 2013


93 N. S. Witte, F. Bornemann and P. J. Forrester
Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles
Nonlinearity, 26, 1799 - 1822, Institute of Physics Publishing, 2013


92 P. J. Forrester
ASYMPTOTICS OF SPACING DISTRIBUTIONS AT THE HARD EDGE FOR beta-ENSEMBLES
RANDOM MATRICES-THEORY AND APPLICATIONS, 2, 1 - 84, WORLD SCI PUBL CO INC, 2013


91 P. J. Forrester
PROBABILITY DENSITIES AND DISTRIBUTIONS FOR SPIKED AND GENERAL VARIANCE WISHART beta-ENSEMBLES
RANDOM MATRICES-THEORY AND APPLICATIONS, 2, 1 - 84, WORLD SCI PUBL CO INC, 2013


90 P. J. Forrester
The averaged characteristic polynomial for the Gaussian and chiral Gaussian ensembles with a source
Journal of Physics A - Mathematical and Theoretical, 46, Institute of Physics Publishing, 2013


89 P. J. Forrester
Lyapunov Exponents for Products of Complex Gaussian Random Matrices
Journal of Statistical Physics, 151, Springer, 2013


88 G. Tellez and P. J. Forrester
Expanded Vandermonde Powers and Sum Rules for the Two-Dimensional One-Component Plasma
Journal of Statistical Physics, 148, 824-855, 2012


87 P. J. Forrester, S. N. Majumdar and G. Schehr
Erratum to "Non-intersecting Brownian walkers and Yang-Mills theory on the sphere" [Nucl. Phys. B 844 (3) (2011) 500]
Nuclear Physics, Section B, 857, 424-427, 2012


86 P. J. Forrester and N. S. Witte
Asymptotic forms for the hard and soft edge general beta conditional gap probabilities
Nuclear Physics B, 859, 321-340, 2012


85 B. Fleming, P. J. Forrester and E. Nordenstam
A finitization of the bead process
Probability Theory and Related Fields, 152, 321-356, 2012


84 P. J. Forrester and E. M. Rains
A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals
Communications in Mathematical Physics, 309, 771-792, 2012


83 P. J. Forrester and A. Mays
Pfaffian point process for the Gaussian real generalised eigenvalue problem
Probability Theory and Related Fields, 154, 1-47, 2012


82 N. S. Witte and P. J. Forrester
Fredholm Determinant evaluations of the Ising model diagonal correlations and their lambda generalisation
Studies in applied mathematics, 128, 183-223, 2012


81 P. J. Forrester and N. S. Witte
Asymptotic forms for hard and soft edge general beta conditional gap probabilities (vol 859, pg 321, 2012)
Nuclear Physics, Section B, 860, Elsevier BV, 2012


80 P. J. Forrester and A. Mays
Pfaffian point process for the Gaussian real generalised eigenvalue problem
Probability Theory and Related Fields, 154, 1 - 47, APPLIED PROBABILITY TRUST, 2012


79 N. S. Witte and P. J. Forrester
On the Variance of the Index for the Gaussian Unitary Ensemble
Random Matrices: Theory and Applications, 1, World Scientific Publishing Co, 2012


78 P. J. Forrester
Large deviation eigenvalue density for the soft edge Laguerre and Jacobi β-ensembles
Journal of Physics A - Mathematical and Theoretical, 45, 2012


77 P. J. Forrester
Spectral density asymptotics for Gaussian and Laguerre β-emsembles in the exponentially small region
Journal of Physics A - Mathematical and Theoretical, 45, 2012


76 P. J. Forrester and T. Nagao
Determinantal correlations for classical projection processes
Journal of Statistical Mechanics: Theory and Experiment, 2011, 2011


75 C. Ormerod, N. S. Witte and P. J. Forrester
Connection preserving deformations and q-semi-classical orthogonal polynomials
Nonlinearity, 24, 2405-2434, 2011


74 P. J. Forrester and C. Sinclair
A Generalized Plasma and Interpolation Between Classical Random Matrix Ensembles
Journal of Statistical Physics, 143, 326-345, 2011


73 B. Fleming and P. J. Forrester
Interlaced Particle Systems and Tilings of the Aztec Diamond
Journal of Statistical Physics, 142, 441-459, 2011


72 P. J. Forrester, S. N. Majumdar and G. Schehr
Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
Nuclear Physics, Section B, 844, 500-526, 2011


71 W. Baratta and P. J. Forrester
Jack polynomial fractional quantum Hall states and their generalizations
Nuclear Physics, Section B, 843, 362-381, 2011


70 J. Fischmann and P. J. Forrester
One-component plasma on a spherical annulus and a random matrix ensemble
Journal of Statistical Mechanics: Theory and Experiment, 2011, 2011


69 G. Bergqvist and P. J. Forrester
RANK PROBABILITIES FOR REAL RANDOM N x N x 2 TENSORS
Electronic Communications in probability, 16, 630-637, 2011


68 P. J. Forrester and C. M. Ormerod
Differential equations for deformed Laguerre polynomials
Journal of Approximation Theory, 162, 653-677, 2010


67 P. J. Forrester
The limiting Kac random polynomial and truncated random orthogonal matrices
Journal of Statistical Mechanics: Theory and Experiment, 2010, 2010


66 I. Dumitriu and P. J. Forrester
Tridiagonal realization of the antisymmetric Gaussian β-ensemble
Journal of Mathematical Physics, 51, 2010


65 P. J. Forrester and M. Ito
Difference system for Selberg correlation integrals
Journal of Physics A - Mathematical and Theoretical, 43, 2010


64 P. J. Forrester
Log-Gases and Random Matrices
Princeton University Press, 2010


63 Bassler, P. J. Forrester and N. E. F. Frankel
Edge effects in some perturbabtions of the Gaussian Unitary ensemble
Journal of Mathematical Physics, 51, 2010


62 P. J. Forrester
A random matrix decimation procedure relating beta = 2/(r+1) to beta = 2(r+1)
Communications in Mathematical Physics, 285, 653-672, 2009


61 K. E. Bassler, P. J. Forrester and N. Frankel
Eigenvalue separation in some random matrix models
Journal of Mathematical Physics, 50, 1-24, 2009


60 P. J. Forrester and M. Krishnapur
Derivation of an eigenvalue probability density function relating to the Poincare disk
Journal of Physics A - Mathematical and Theoretical, 42, -, 2009


59 P. J. Forrester and A. W. Mays
A method to calculate correlation functions for beta=1 random matrices of odd size
Journal of Statistical Physics, 134, 443-462, 2009


58 E. Bassler, P. J. Forrester and N. Frankel
Eigenvalue separation is some random matrix models
Journal of Mathematical Physics, 50, -, 2009


57 P. J. Forrester and E. Rains
Matrix averages relating to the Ginibre ensemble
Journal of Physics A - Mathematical and Theoretical, 42, -, 2009


56 P. J. Forrester and T. Nagao
Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
Journal of Physics A - Mathematical and Theoretical, 41, 2008


55 P. J. Forrester and S. Warnaar
The importance of the Selberg integral
American Mathematical Society. Bulletin. New Series, 45, 489-534, 2008


54 P. J. Forrester
On the gap probability generating functions at the spectrum edge in the case of orthogonal symmetry
Contemporary Mathematics, 458, 291-302, American Mathematical Society, 2008


53 P. Desrosiers and P. J. Forrester
A note on biorthogonal ensembles
Journal of Approximation Theory, 152, 167-187, 2008


52 P. J. Forrester and N. S. Witte
The distribution of the first eigenvalue spacing at the hard edge of the Laguerre unitary ensemble
Kyushu Journal of Mathematics, 61, 457-526, 2007


51 P. J. Forrester and M. Rains
Symmetrized models of last passage percolation and non-intersecting lattice paths
Journal of Statistical Physics, 129, 833-855, 2007


50 P. J. Forrester
Eigenvalue distributions of some correlated complex sample covariance matrices
Journal of Physics A - Mathematical and Theoretical, 40, 11093-11103, 2007


49 J. Breuer, P. J. Forrester and U. Smilansky
Random discrete Schrodinger operators from random matrix theory
Journal of Physics A - Mathematical and Theoretical, 40, F161-F168, 2007


48 P. J. Forrester and Nagao
Eigenvalue statistics of the real Ginibre ensemble
Physical Review Letters, 99, 1-4, 2007


47 P. J. Forrester and E. M. Rains
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
International Mathematics Research Notices, 2006, 1-36, 2006


46 P. Desrosiers and P. J. Forrester
Hermite and Laguerre beta-ensembles: asymptotic corrections to the eigenvalue density
Nuclear Physics B - Proceedings Supplements, 743, 307-332, 2006


45 P. J. Forrester
Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions
Journal of Physics A - Mathematical and General, 39, 13025-13036, 2006


44 P. J. Forrester and N. S. Witte
Random matrix theory and the sixth Painlevé equation
Journal of Physics A - Mathematical and General, 39, 12211-12233, 2006


43 P. J. Forrester
Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
Nonlinearity, 19, 2989-3002, 2006


42 P. Desrosiers and P. J. Forrester
Relationship between tau-functions and Fredholm determinant expressions for gap probabilities in random matrix theory
Nonlinearity, 19, 1643-1656, 2006


41 P. J. Forrester
Quantum conductance problems and the Jacobi ensemble
Journal of Physics A - Mathematical and General, 39, 6861-6870, 2006


40 P. J. Forrester, N. Frankel and T. M. Garoni
Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry
Journal of Mathematical Physics, 47, 1-26, 2006


39 P. J. Forrester
Evenness symmetry and inter-relationships between gap probabilities in random matrix theory
Forum Mathematicum, 18, 711-743, 2006


38 P. J. Forrester, N. Frankel and M. I. Makin
Analytic solutions of the one-dimensional finite-coupling delta-function Bose gas
Physical Review A, 74, 1-20, 2006


37 P. J. Forrester and N. S. Witte
Bi-orthogonal polynomials on the unit circle, regular semi-classical weights and integrable systems
Constructive Approximation, 24, 201-237, 2006


36 P. Desrosiers and P. J. Forrester
Asymptotic correlations for Gaussian and Wishart matrices with external source
International Mathematics Research Notices, 2006, 1-43, 2006


35 P. J. Forrester and N. S. Witte
Boundary conditions associated with the Painlevé III' and V evaluations of some random matrix averages
Journal of Physics A - Mathematical and General, 39, 8983-8995, 2006


34 P. J. Forrester and A. Gamburd
Counting formulas associated with some random matrix averages
Journal of Combinatorial Theory Series A, 113, 934-951, 2006


33 P. J. Forrester, T. Nagao and E. M. Rains
Correlation functions for random involutions
International Mathematics Research Notices, 2006, 1-35, 2006


32 P. J. Forrester and E. M. Rains
Interpretations of some parameter dependent generalizations of classical matrix ensembles
Probability Theory and Related Fields, 131, 1-61, 2005


31 P. J. Forrester and N. S. Witte
Discrete Painlevé equations for a class of PVI τ-functions given as U(N) averages
Nonlinearity, 18, 2061-2088, Institute of Physics Publishing, 2005


30 A. C. Scott and P. J. Forrester
Random matrix theoiry II: algebraic developments
Routledge, 2005


29 T. M. Garoni, P. J. Forrester and N. E. Frankel
Asymptotic corrections to the eigenvalue density of the GUE and LUE
Journal of Mathematical Physics, 46, 1-17, 2005


28 J. B. Conrey, P. J. Forrester and N. C. Snaith
Averages of Ratios of Characteristic Polynomials for the Compact Classical Groups
International Mathematics Research Notices, 2005, 397-431, Hindawi Publishing Corp, 2005


27 P. J. Forrester, F. Mezzadri and N. C. Snaith
Spacing Distributions in Random Matrix Ensembles
279-307, Cambridge University Press, 2005


26 P. J. Forrester and N. E. Frankel
Applications and generalizations of Fisher-Hartwig asymptotics
Journal of Mathematical Physics, 45, 2003-2028, 2004


25 P. J. Forrester
Statistical properties of the primes and the Riemann zeros
Australian Mathematical Society Gazette, 31, 165-169, 2004


24 P. J. Forrester and N. S. Witte
Application of the t-Function Theory of Painlevé Equations to Random Matrices: PVI The JUE, CyUE, cJUE and Scaled Limits
Nagoya Mathematical Journal, 174, 29-114, 2004


23 P. J. Forrester and D. S. Mcanally
Pieri-type formulas for the non-symmetric Jack polynomials
Commentarii Mathematici Helvetici, 79, 1-24, Birkhauser, 2004


22 P. J. Forrester and J. P. Keating
Singularity dominated strong fluctuations for some random matrix averages
Communications in Mathematical Physics, 250, 119-131, 2004


21 P. J. Forrester and E. M. Rains
Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter
Probability Theory and Related Fields, 130, 518-576, 2004


20 P. J. Forrester and N. S. Witte
Discrete Painlevé Equations, Orthogonal Polynomials on the Unit Circle, and N-Recurrences for Averages over U(N)-PIII' and PV τ-Functions
International Mathematics Research Notices, 2004, 159-183, Hindawi Publishing Corp, 2004


19 A. Borodin and P. J. Forrester
Increasing subsequences and the hard-to-soft edge transition in matrix ensembles
Journal of Physics A - Mathematical and General, 36, 2963-2981, Institute of Physics Publishing, 2003


18 P. J. Forrester, N. E. Frankel and T. M. Garoni
Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions
Journal of Mathematical Physics, 44, 4157-4175, 2003


17 P. J. Forrester
Growth models, random matrices and Painlevé transcendents
Nonlinearity, 16, R27-R49, Institute of Physics Publishing, 2003


16 P. J. Forrester, N. E. Frankel, T. M. Garoni and N. S. Witte
Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable bosons
Communications in Mathematical Physics, 238, 257-285, 2003


15 P. J. Forrester, N. E. Frankel, T. M. Garoni and N. S. Witte
Finite one-dimensional impenetrable Bose systems: Occupation numbers
Physical Review A, 67, 1-17, 2003


14 P. J. Forrester, N. C. Snaith and J. J. M. Verbaarschot
Developments in random matrix theory
Journal of Physics A - Mathematical and General, 36, R1-R10, Institute of Physics Publishing, 2003


13 P. J. Forrester and N. S. Witte
Discrete Painlevé equations and random matrix averages
Nonlinearity, 16, 1919-1944, 2003


12 T. Nagao and P. J. Forrester
Dynamical correlations for circular ensembles of random matrices
Nuclear Physics, Section B, 660, 557-578, 2003


11 P. J. Forrester and N. S. Witte
T-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles
Nonlinearity, 15, 937-954, 2002


10 T. Nagao and P. J. Forrester
Vicious random walkers and a discretization of Gaussian random matrix ensembles
Nuclear Physics, Section B, 620 [FS], 551-565, 2002


9 N. S. Witte, C. E. M. Pearce, P. J. Forrester and C. M. Cosgrove
Integrability, random matrices and Painlevé transcendents
The ANZIAM Journal , 44, 41-50, Australian Mathematical Society, 2002


8 P. J. Forrester and N. S. Witte
Application of the τ-function theory of painlevé equations to random matrices: PV, PIII, the LUE, JUE, and CUE.
Communications on Pure and Applied Mathematics, 55, 679-727, 2002


7 T. H. B. Baker and P. J. Forrester
Random walks and random fixed point free involutions
Journal of Physics A - Mathematical and General, 34, L381-L390, Institute of Physics Publishing, 2001


6 P. J. Forrester
Random walks and random permutations
Journal of Physics A - Mathematical and General, 34, L417-L423, Institute of Physics Publishing, 2001


5 P. J. Forrester, D. S. Mcanally and Y. Nikolayevsky
On the evaluation formula for Jack polynomials with prescribed symmetry
Journal of Physics A - Mathematical and General, 34, 8407-8424, Institute of Physics Publishing, 2001


4 P. J. Forrester and T. Nagao
Correlations for the Cauchy and generalized circular ensembles with orthogonal and symplectic symmetry
Journal of Physics A - Mathematical and General, 34, 7917-7932, 2001


3 P. J. Forrester, B. J. Jancovici and D. S. Mcanally
Analytic properties of the structure function for the one-dimensional one-component log-gas
Journal of Statistical Physics, 102, 737-780, Kluwer Academic/Plenum Publishers, 2001


2 P. J. Forrester and N. S. Witte
Application of the tau-function theory of Painlevé equations to random matrices: PIV, PII and the GUE
Communications in Mathematical Physics, 219, 357-398, 2001


1 P. Bleher, P. J. Forrester, A. Its and E. M. Rains
Interrelationships between orthogonal, unitary and symplectic matrix ensembles
171-208, Cambridge University Press, 2001