P. Forrester. Differential Identities for the Structure Function of Some Random Matrix Ensembles. Journal of Statistical Physics, 183, 33, 2021. doi: 10.1007/s10955-021-02767-5.
P. Forrester, S. Li. Classical skew orthogonal polynomials in a two-component log-gas with charges+1 and+2. Advances in Mathematics, 383, 107678 (27pp), 2021. doi: 10.1016/j.aim.2021.107678.
P. Forrester, S. Li. Fox H-kernel and ?-deformation of the Cauchy Two-Matrix Model and Bures Ensemble. International Mathematics Research Notices, 2021, 5791-5824, 2021. doi: 10.1093/imrn/rnz028.
P. Forrester, J Zhang. Lyapunov Exponents for Some Isotropic Random Matrix Ensembles. Journal of Statistical Physics, 558-575, 2020. doi: 10.1007/s10955-019-02474-2.
P. Forrester. Moments of the ground state density for the d-dimensional Fermi gas in an harmonic trap. Random Matrices: Theory and Applications, 2150018 (18pp), 2020. doi: 10.1142/S2010326321500180.
P. Forrester. Matrix polar decomposition and generalisations of the blaschke–petkantschin formula in integral geometry. Moscow Mathematical Journal, 20, 27-42, 2020. doi: 10.17323/1609-4514-2020-20-1-27-42.
P. Forrester, Jiyuan Zhang. Parametrising correlation matrices. Journal of Multivariate Analysis, 178, 104619 (10pp), 2020. doi: 10.1016/j.jmva.2020.104619.
P. Forrester, Dang-Zheng Liu. Phase Transitions for Products of Characteristic Polynomials under Dyson Brownian Motion. Acta Mathematica Sinica, English Series, 509-524, 2020. doi: 10.1007/s10114-020-9445-7.
A. Rahman, P. Forrester. Linear differential equations for the resolvents of the classical matrix ensembles. Random Matrices: Theory and Applications, 2250003, 2020. doi: 10.1142/S2010326322500034.
Stephane Dartois, P. Forrester. Schwinger–Dyson and loop equations for a product of square Ginibre random matrices. Journal of Physics A: Mathematical and Theoretical, 53, 175201 (35pp), 2020. doi: 10.1088/1751-8121/ab6fc4.
P. Forrester, S. Li, A. Trinh. Asymptotic correlations with corrections for the circular Jacobi $eta$-ensemble. 2020.
P. Forrester, A. Trinh. Optimal soft edge scaling variables for the Gaussian and Laguerre even β ensembles. Nuclear Physics B, 938, 621-639, 2019. doi: 10.1016/j.nuclphysb.2018.12.006.
P. Forrester, J. Ipsen, DZ Liu, L. Zhang. Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles. Random Matrices: Theory and Application, 1950015 (37pp), 2019. doi: 10.1142/S2010326319500151.
M Kieburg, P. Forrester, J. Ipsen. Multiplicative convolution of real asymmetric and real anti-symmetric matrices. Advances in Pure and Applied Mathematics, 467-492, 2019. doi: 10.1515/apam-2018-0037.
P. Forrester, S. Li. Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions. Transactions of the American Mathematical Society, 665-698, 2019. doi: 10.1090/tran/7957.
P. Forrester, J. Ipsen. A generalisation of the relation between zeros of the complex Kac polynomial and eigenvalues of truncated unitary matrices. Probability Theory and Related Fields, 175, 833-847, 2019. doi: 10.1007/s00440-019-00903-7.
P. Forrester, S. Kumar. Recursion scheme for the largest-Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport. Journal of Physics A: Mathematical and Theoretical, 52, 42LT02 (11pp), 2019. doi: 10.1088/1751-8121/ab433c.
P. Forrester, A. Trinh. Finiteâ€size corrections at the hard edge for the Laguerre β ensemble. Studies in Applied Mathematics, 143, 315-336, 2019. doi: 10.1111/sapm.12279.
P. Forrester, A. Trinh. Comment on “Finite size effects in the averaged eigenvalue density of Wigner random-sign real symmetric matricesâ€. Physical review. E, 99, 036101 (4pp), 2019. doi: 10.1103/PhysRevE.99.036101.
P. Forrester, HH Perk, A. Trinh, NS Witte. Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model. Journal of Statistical Mechanics: Theory and Experiment, 2019, 023106 (24pp), 2019. doi: 10.1088/1742-5468/ab00e6.
Jiyuan Zhang, M. Kieburg, P. Forrester. Harmonic analysis for rank-1 Randomised Horn Problems. 2019.
P. Forrester, A. Trinh. Finite size corrections at the hard edge for the Laguerre $eta$ ensemble. 2019.
P. Forrester, J. Ipsen. Selberg integral theory and Muttalib-Borodin ensembles. Advances in Applied Mathematics, 95, 152-176, 2018. doi: 10.1016/j.aam.2017.11.004.
P. Forrester, J. Ipsen, D. Liu. Matrix Product Ensembles of Hermite Type and the Hyperbolic Harish-Chandra–Itzykson–Zuber Integral. Annales Henri Poincare, 1307-1348, 2018. doi: 10.1007/s00023-018-0654-x.
P. Forrester. Volumes for SLN(R), the Selberg Integral and Random Lattices. Foundations of Computational Mathematics, 55-82, 2018. doi: 10.1007/s10208-018-9376-1.
P. Forrester, A. Trinh. Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE. Journal of Mathematical Physics, 59, 053302 (18pp), 2018. doi: 10.1063/1.5016347.
P. Forrester, J. Ipsen, S. Kumar. How Many Eigenvalues of a Product of Truncated Orthogonal Matrices are Real?. Experimental Mathematics, 276-290, 2018. doi: 10.1080/10586458.2018.1459962.
P. Forrester, J. Zhang. Volumes and distributions for random unimodular complex and quaternion lattices. Journal of Number Theory, 1-39, 2018. doi: 10.1016/j.jnt.2018.03.010.
P. Forrester. Comment on “Sum of squares of uniform random variables†by I. Weissman. Statistics and Probability Letters, 118-122, 2018. doi: 10.1016/j.spl.2018.04.020.
VV Mangazeev, P. Forrester. Integrable structure of products of finite complex Ginibre random matrices. Physica D: Nonlinear Phenomena, 39-63, 2018. doi: 10.1016/j.physd.2018.07.009.
P. Forrester. Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882-1883. Random Matrices: Theory and Applications, 1930001 (9pp), 2018. doi: 10.1142/S2010326319300018.
J. Ipsen, P. Forrester. Kac-Rice fixed point analysis for single- and multi-layered complex systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 51, 474003 (19pp), 2018. doi: 10.1088/1751-8121/aae76d.
P. Forrester, A. Trinh. Optimal soft edge scaling variables for the Gaussian and Laguerre even $eta$ ensembles. 2018.
P. Forrester, JHH Perk, A. Trinh, NS Witte. Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model. 2018.
Masahiko Ito, P. Forrester. A Bilateral Extension of the q-Selberg Integral. Transactions of the American Mathematical Society, 369, 2843-2878, 2017. doi: 10.1090/tran/6851.
NS Witte, P. Forrester. Singular Values of Products of Ginibre Random Matrices. Studies in Applied Mathematics, 138, 135-184, 2017. doi: 10.1111/sapm.12147.
Folkmar Bornemann, P. Forrester, A. Mays. Finite Size Effects for Spacing Distributions in Random Matrix Theory: Circular Ensembles and Riemann Zeros. Studies in Applied Mathematics, 138, 401-437, 2017. doi: 10.1111/sapm.12160.
P. Forrester, A. Rahman, N. Witte. Large N expansions for the Laguerre and Jacobi beta-ensembles from the loop equations. Journal of Mathematical Physics, 58, 2017. doi: 10.1063/1.4997778.
P. Forrester, S. Kumar. The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices. Journal of Theoretical Probability, 1-16, 2017. doi: 10.1007/s10959-017-0766-0.
P. Forrester. Octonions in random matrix theory. Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 473, 20160800 (11pp), 2017. doi: 10.1098/rspa.2016.0800.
P. Forrester, D. Wang. Muttalib-Borodin ensembles in random matrix theory - realisations and correlation functions. Electronic Journal of Probability, 22, 2017. doi: 10.1214/17-EJP62.
P. Diaconis, P. Forrester. Hurwitz and the origins of random matrix theory in mathematics. Random Matrices: Theory and Applications, 6, 1730001 (26pp), 2017. doi: 10.1142/S2010326317300017.
P. Forrester, J. Ipsen. Real eigenvalue statistics for products of asymmetric real Gaussian matrices. Linear Algebra and its Applications, 510, 259-290, 2016. doi: 10.1016/j.laa.2016.08.015.
P. Forrester, Mario Kieburg. Relating the Bures Measure to the Cauchy Two-Matrix Model. Communications in Mathematical Physics, 342, 151-187, 2016. doi: 10.1007/s00220-015-2435-4.
P. Forrester, Jacek Grela. Hydrodynamical spectral evolution for random matrices. Journal of Physics A: Mathematical and Theoretical, 49, 085203 (26pp), 2016. doi: 10.1088/1751-8113/49/8/085203.
P. Forrester. Analogies between random matrix ensembles and the one-component plasma in two-dimensions. Nuclear Physics B, 904, 253-281, 2016. doi: 10.1016/j.nuclphysb.2016.01.014.
Folkmar Bornemann, P. Forrester. Singular values and evenness symmetry in random matrix theory. Forum Mathematicum, 28, 873-891, 2016. doi: 10.1515/forum-2015-0055.
PD Drummond, B Opanchuk, L Rosales-Zarate, MD Reid, P. Forrester, L Rosales-Zárate. Scaling of boson sampling experiments. Physical Review A, 94, 2016. doi: 10.1103/PhysRevA.94.042339.
P. Forrester, Dang-Zheng Liu. Singular Values for Products of Complex Ginibre Matrices with a Source: Hard Edge Limit and Phase Transition. Communications in Mathematical Physics, 344, 333-368, 2016. doi: 10.1007/s00220-015-2507-5.
P. Forrester, Dang-Zheng Liu, Paul Zinn-Justin, P. Zinn-Justin. Equilibrium problems for Raney densities. Nonlinearity, 28, 2265-2277, 2015. doi: 10.1088/0951-7715/28/7/2265.
P. Forrester. Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble. Journal of Physics A: Mathematical and Theoretical, 48, 324001 (14pp), 2015. doi: 10.1088/1751-8113/48/32/324001.
P. Forrester. Asymptotics of finite system Lyapunov exponents for some random matrix ensembles. Journal of Physics A: Mathematical and Theoretical, 48, 215205 (17pp), 2015. doi: 10.1088/1751-8113/48/21/215205.
T Can, P. Forrester, G Tellez, P Wiegmann, G Téllez. Exact and Asymptotic Features of the Edge Density Profile for the One Component Plasma in Two Dimensions. Journal of Statistical Physics, 158, 1147-1180, 2015. doi: 10.1007/s10955-014-1152-2.
P. Forrester, N. Witte. Painlev, II in Random Matrix Theory and Related Fields. Constructive Approximation, 41, 589-613, 2015. doi: 10.1007/s00365-014-9243-5.
P. Forrester, D. Liu. Raney Distributions and Random Matrix Theory. Journal of Statistical Physics, 158, 1051-1082, 2015. doi: 10.1007/s10955-014-1150-4.
N. Witte, P. Forrester. Loop equation analysis of the circular beta ensembles. Journal of High Energy Physics, 2015, 2015. doi: 10.1007/JHEP02(2015)173.
M. Ito, P. Forrester. The q-Dixon-Anderson integral and multi-dimensional (1)psi(1) summations. Journal of Mathematical Analysis And Applications, 423, 1704-1737, 2015. doi: 10.1016/j.jmaa.2014.10.034.
P. Forrester, A. Mays. Finite-size corrections in random matrix theory and Odlyzko's dataset for the Riemann zeros. Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences, 471, 20150436 (21pp), 2015. doi: 10.1098/rspa.2015.0436.
P. Forrester, C. Thompson. The Golden-Thompson inequality: Historical aspects and random matrix applications. Journal of Mathematical Physics, 55, 023503 (12pp), 2014. doi: 10.1063/1.4863477.
T Can, P. Forrester, G Tellez, P Wiegmann, G Téllez. Singular behavior at the edge of Laughlin states. Physical Review B, 89, 2014. doi: 10.1103/PhysRevB.89.235137.
P. Forrester, JL Lebowitz. Local Central Limit Theorem for Determinantal Point Processes. Journal of Statistical Physics, 157, 60-69, 2014. doi: 10.1007/s10955-014-1071-2.
P. Forrester. Eigenvalue statistics for product complex Wishart matrices. Journal of Physics A: Mathematical and Theoretical, 47, 345202 (22pp), 2014. doi: 10.1088/1751-8113/47/34/345202.
N. Witte, P. Forrester. Moments of the Gaussian beta ensembles and the large-N expansion of the densities. Journal of Mathematical Physics, 55, 083302 (34pp), 2014. doi: 10.1063/1.4886477.
P. Forrester. Probability of all eigenvalues real for products of standard Gaussian matrices. Journal of Physics A: Mathematical and Theoretical, 47, 065202 (12pp), 2014. doi: 10.1088/1751-8113/47/6/065202.
P. Deift, P. Forrester. Random Matrix Theory, Interacting Particle Systems, and Integrable Systems Preface. 65, IX-X, CAMBRIDGE UNIV PRESS, 2014.
P. Forrester. Asymptotics of spacing distributions 50 years later. 65, 199-222, CAMBRIDGE UNIV PRESS, 2014.
M. Ito, P. Forrester. Ramanujan's 1 psi 1 summation theorem-perspective, announcement of bilateral q-Dixon Andersonand q-Selberg integral extensions, and context. Proceedings of The Japan Academy Series A-Mathematical Sciences, 90, 92-97, 2014. doi: 10.3792/pjaa.90.92.
P. Forrester. The averaged characteristic polynomial for the Gaussian and chiral Gaussian ensembles with a source. Journal of Physics A: Mathematical and Theoretical, 46, 345204 (17pp), 2013. doi: 10.1088/1751-8113/46/34/345204.
P. Forrester. Lyapunov Exponents for Products of Complex Gaussian Random Matrices. Journal of Statistical Physics, 151, 796-808, 2013. doi: 10.1007/s10955-013-0735-7.
P. Forrester. Probability densities and distributions for spiked and general variance Wishart beta-ensembles. Random Matrices: Theory and Applications, 2, 1350011 (19pp), 2013. doi: 10.1142/S2010326313500111.
P. Forrester. Asymptotics of spacing distributions at the hard edge for beta-ensembles. Random Matrices: Theory and Applications, 2, 1350002 (21pp), 2013. doi: 10.1142/S2010326313500020.
N. Witte, F Bornemann, P. Forrester. Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. Nonlinearity, 26, 1799-1822, 2013. doi: 10.1088/0951-7715/26/6/1799.
P. Forrester. Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations. Journal of Physics A - Mathematical and Theoretical, 46, 245203 (10pp), 2013. doi: 10.1088/1751-8113/46/24/245203.
G Schehr, SN Majumdar, A Comtet, P. Forrester. Reunion Probability of N Vicious Walkers: Typical and Large Fluctuations for Large N. Journal of Statistical Physics, 150, 491-530, 2013. doi: 10.1007/s10955-012-0614-7.
P. Forrester, A. Mays. Pfaffian point process for the Gaussian real generalised eigenvalue problem. Probability Theory and Related Fields, 154, 1-47, 2012. doi: 10.1007/s00440-011-0361-8.
P. Forrester, N. Witte. Asymptotic forms for the hard and soft edge general β conditional gap probabilities. Nuclear Physics B, 859, 321-340, 2012. doi: 10.1016/j.nuclphysb.2012.02.008.
N. Witte, P. Forrester. Fredholm Determinant Evaluations of the Ising Model Diagonal Correlations and their λ Generalization. Studies in Applied Mathematics, 128, 183-223, 2012. doi: 10.1111/j.1467-9590.2011.00534.x.
G Tellez, P. Forrester, G Téllez. Expanded Vandermonde Powers and Sum Rules for the Two-Dimensional One-Component Plasma. Journal of Statistical Physics, 148, 824-855, 2012. doi: 10.1007/s10955-012-0551-5.
P. Forrester, SN Majumdar, 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. doi: 10.1016/j.nuclphysb.2011.12.009.
P. Forrester, E. Rains. A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals. Communications in Mathematical Physics, 309, 771-792, 2012. doi: 10.1007/s00220-011-1305-y.
B. Fleming, P. Forrester, E. Nordenstam. A finitization of the bead process. Probability Theory and Related Fields, 152, 321-356, 2012. doi: 10.1007/s00440-010-0324-5.
P. Forrester. Spectral density asymptotics for Gaussian and Laguerre β-emsembles in the exponentially small region. Journal of Physics A - Mathematical and Theoretical, 45, 075206 (17pp), 2012. doi: 10.1088/1751-8113/45/7/075206.
P. Forrester. Large deviation eigenvalue density for the soft edge Laguerre and Jacobi β-ensembles. Journal of Physics A - Mathematical and Theoretical, 45, 145201 (15pp), 2012. doi: 10.1088/1751-8113/45/14/145201.
N. Witte, P. Forrester. On the Variance of the Index for the Gaussian Unitary Ensemble. Random Matrices: Theory and Applications, 1, 1250010 (25pp), 2012. doi: 10.1142/S2010326312500104.
B. Fleming, P. Forrester. Interlaced Particle Systems and Tilings of the Aztec Diamond. Journal of Statistical Physics, 142, 441-459, 2011. doi: 10.1007/s10955-011-0121-2.
P. Forrester, SN Majumdar, G Schehr. Non-intersecting Brownian walkers and Yang-Mills theory on the sphere. Nuclear Physics, Section B, 844, 500-526, 2011. doi: 10.1016/j.nuclphysb.2010.11.013.
W. Baratta, P. Forrester. Jack polynomial fractional quantum Hall states and their generalizations. Nuclear Physics, Section B, 843, 362-381, 2011. doi: 10.1016/j.nuclphysb.2010.09.018.
P. Forrester, C Sinclair. A Generalized Plasma and Interpolation Between Classical Random Matrix Ensembles. Journal of Statistical Physics, 143, 326-345, 2011. doi: 10.1007/s10955-011-0173-3.
G Bergqvist, P. Forrester. Rank probabilities for real random N x N x 2 tensors. Electronic Communications in probability, 16, 630-637, 2011. doi: 10.1214/ECP.v16-1655.
J. Fischmann, P. Forrester. One-component plasma on a spherical annulus and a random matrix ensemble. Journal of Statistical Mechanics: Theory and Experiment, 2011, P10003 (24pp), 2011. doi: 10.1088/1742-5468/2011/10/P10003.
C. Ormerod, N. Witte, P. Forrester. Connection preserving deformations and q-semi-classical orthogonal polynomials. Nonlinearity, 24, 2405-2434, 2011. doi: 10.1088/0951-7715/24/9/002.
P. Forrester, T. Nagao. Determinantal correlations for classical projection processes. Journal of Statistical Mechanics: Theory and Experiment, 2011, P08011 (28pp), 2011. doi: 10.1088/1742-5468/2011/08/P08011.
A. Mays, P. Forrester. A geometrical triumvirate of real random matrices. 2011.
I Dumitriu, P. Forrester. Tridiagonal realization of the antisymmetric Gaussian β-ensemble. Journal of Mathematical Physics, 51, 093302 (25pp), 2010. doi: 10.1063/1.3486071.
P. Forrester, C. Ormerod. Differential equations for deformed Laguerre polynomials. Journal of Approximation Theory, 162, 653-677, 2010. doi: 10.1016/j.jat.2009.07.010.
P. Forrester, M. Ito. Difference system for Selberg correlation integrals. Journal of Physics A - Mathematical and Theoretical, 43, 175202 (19pp), 2010. doi: 10.1088/1751-8113/43/17/175202.
P. Forrester. Log-Gases and Random Matrices. Princeton University Press, 2010.
K. Bassler, P. Forrester, NEF Frankel. Edge effects in some perturbations of the Gaussian Unitary ensemble. Journal of Mathematical Physics, 51, 123305 (16pp), 2010. doi: 10.1063/1.3521288.
P. Forrester. The limiting Kac random polynomial and truncated random orthogonal matrices. Journal of Statistical Mechanics: Theory and Experiment, 2010, P12018 (12pp), 2010. doi: 10.1088/1742-5468/2010/12/P12018.
P. Forrester, E. Nordenstam. The anti-symmetric GUE minor process. Moscow Mathematical Journal, 9, 749-774, 2010.
K. Bassler, P. Forrester, N Frankel. Eigenvalue separation in some random matrix models. Journal of Mathematical Physics, 50, 1-24, 2009. doi: 10.1063/1.3081391.
P. Forrester, E. Rains. Matrix averages relating to the Ginibre ensemble. Journal of Physics A - Mathematical and Theoretical, 42, 385205 (13pp), 2009. doi: 10.1088/1751-8113/42/38/385205.
P. Forrester, M Krishnapur. Derivation of an eigenvalue probability density function relating to the Poincare disk. Journal of Physics A - Mathematical and Theoretical, 42, 385204 (10pp), 2009. doi: 10.1088/1751-8113/42/38/385204.
P. Forrester. A random matrix decimation procedure relating beta = 2/(r+1) to beta = 2(r+1). Communications in Mathematical Physics, 285, 653-672, 2009. doi: 10.1007/s00220-008-0616-0.
P. Forrester, A. Mays. A method to calculate correlation functions for beta=1 random matrices of odd size. Journal of Statistical Physics, 134, 443-462, 2009. doi: 10.1007/s10955-009-9684-6.
Benjamin J Fleming, P. Forrester, Eric Nordenstam. A Finitization of the Bead Process. 2009.
P. Desrosiers, P. Forrester. A note on biorthogonal ensembles. Journal of Approximation Theory, 152, 167-187, 2008. doi: 10.1016/j.jat.2007.08.006.
P. Forrester, T. Nagao. Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble. Journal of Physics A - Mathematical and Theoretical, 41, 375003 (19pp), 2008. doi: 10.1088/1751-8113/41/37/375003.
P. Forrester, S. Warnaar. The importance of the Selberg integral. American Mathematical Society. Bulletin. New Series, 45, 489-534, 2008. doi: 10.1090/S0273-0979-08-01221-4.
P. Forrester, Eric Nordenstam. The Anti-Symmetric GUE Minor Process. 2008.
P. Forrester. Eigenvalue distributions for some correlated complex sample covariance matrices. Journal of Physics A: Mathematical and Theoretical, 40, 11093-11103, 2007. doi: 10.1088/1751-8113/40/36/009.
P. Forrester, N. 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. doi: 10.2206/kyushujm.61.457.
J Breuer, P. Forrester, U. Smilansky. Random discrete Schrodinger operators from random matrix theory. Journal of Physics A - Mathematical and Theoretical, 40, F161-F168, 2007. doi: 10.1088/1751-8113/40/5/F03.
P. Forrester, M Rains. Symmetrized models of last passage percolation and non-intersecting lattice paths. Journal of Statistical Physics, 129, 833-855, 2007. doi: 10.1007/s10955-007-9413-y.
P. Forrester, Nagao. Eigenvalue statistics of the real Ginibre ensemble. Physical Review Letters, 99, 1-4, 2007. doi: 10.1103/PhysRevLett.99.050603.
P. Forrester. Particles in a magnetic field and plasma analogies: doubly periodic boundary conditions. Journal of Physics A - Mathematical and General, 39, 13025-13036, 2006. doi: 10.1088/0305-4470/39/41/S14.
P. Forrester, N. Witte. Random matrix theory and the sixth Painleve equation. Journal of Physics A - Mathematical and General, 39, 12211-12233, 2006. doi: 10.1088/0305-4470/39/39/S14.
P. Forrester, E. Rains. Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. International Mathematics Research Notices, 2006, 1-36, 2006. doi: 10.1155/IMRN/2006/48306.
P. Forrester, T. Nagao, E. Rains. Correlation functions for random involutions. International Mathematics Research Notices, 2006, 1-35, 2006. doi: 10.1155/IMRN/2006/89796.
P. Desrosiers, P. Forrester. Asymptotic correlations for Gaussian and Wishart matrices with external source. International Mathematics Research Notices, 2006, 1-43, 2006. doi: 10.1155/IMRN/2006/27395.
P. Desrosiers, P. Forrester. Relationship between tau-functions and Fredholm determinant expressions for gap probabilities in random matrix theory. Nonlinearity, 19, 1643-1656, 2006. doi: 10.1088/0951-7715/19/7/012.
P. Forrester. Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry. Nonlinearity, 19, 2989-3002, 2006. doi: 10.1088/0951-7715/19/12/015.
P. Desrosiers, P. Forrester. Hermite and Laguerre beta-ensembles: asymptotic corrections to the eigenvalue density. Nuclear Physics B - Proceedings Supplements, 743, 307-332, 2006. doi: 10.1016/j.nuclphysb.2006.03.002.
P. Forrester, N. Witte. Bi-orthogonal polynomials on the unit circle, regular semi-classical weights and integrable systems. Constructive Approximation, 24, 201-237, 2006. doi: 10.1007/s00365-005-0616-7.
P. Forrester, A Gamburd. Counting formulas associated with some random matrix averages. Journal of Combinatorial Theory Series A, 113, 934-951, 2006. doi: 10.1016/j.jcta.2005.09.001.
P. Forrester. Evenness symmetry and inter-relationships between gap probabilities in random matrix theory. Forum Mathematicum, 18, 711-743, 2006. doi: 10.1515/FORUM.2006.036.
P. Forrester. On the gap probability generating functions at the spectrum edge in the case of orthogonal symmetry. Contemporary Mathematics, 458, 291-302, 2006.
P. Forrester, N Frankel, M. Makin. Analytic solutions of the one-dimensional finite-coupling delta-function Bose gas. Physical Review A, 74, 1-20, 2006. doi: 10.1103/PhysRevA.74.043614.
P. Forrester, N Frankel, T. 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. doi: 10.1063/1.2165254.
P. Forrester. Quantum conductance problems and the Jacobi ensemble. Journal of Physics A - Mathematical and General, 39, 6861-6870, 2006. doi: 10.1088/0305-4470/39/22/004.
P. Forrester, N. Witte. Boundary conditions associated with the Painleve III' and V evaluations of some random matrix averages. Journal of Physics A - Mathematical and General, 39, 8983-8995, 2006. doi: 10.1088/0305-4470/39/28/S13.
P. Forrester, NE Frankel, MI Makin. Analytic solutions of the 1D finite coupling delta function Bose gas. 2006.
T. Garoni, P. Forrester, NE Frankel. Asymptotic corrections to the eigenvalue density of the GUE and LUE. Journal of Mathematical Physics, 46, 1-17, 2005. doi: 10.1063/1.2035028.
P. Forrester, E. Rains. Interpretations of some parameter dependent generalizations of classical matrix ensembles. Probability Theory and Related Fields, 131, 1-61, 2005. doi: 10.1007/s00440-004-0375-6.
JB Conrey, P. Forrester, NC Snaith. Averages of Ratios of Characteristic Polynomials for the Compact Classical Groups. International Mathematics Research Notices, 2005, 397-431, 2005.
P. Forrester, N. Witte. Discrete Painlevé equations for a class of PVI τ-functions given as U(N) averages. Nonlinearity, 18, 2061-2088, 2005. doi: 10.1088/0951-7715/18/5/010.
P. Forrester. Spacing Distributions in Random Matrix Ensembles. 322, 279-307, Cambridge University Press, 2005. doi: 10.1017/CBO9780511550492.011.
P. Forrester. Random matrix theoiry II: algebraic developments. Routledge, 2005.
P. Forrester, Taro Nagao, Eric M Rains. Correlation functions for random involutions. 2005.
P. Forrester, NE Frankel, TM Garoni. Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry. 2005.
Jonathan Breuer, P. Forrester, Uzy Smilansky. Random discrete Schrödinger operators from Random Matrix Theory. 2005.
TM Garoni, P. Forrester, NE Frankel. Asymptotic corrections to the eigenvalue density of the GUE and LUE. 2005.
P. Forrester, Alex Gamburd. Counting formulas associated with some random matrix averages. 2005.
P. Forrester, NE Frankel. Applications and generalizations of Fisher-Hartwig asymptotics. Journal of Mathematical Physics, 45, 2003-2028, 2004. doi: 10.1063/1.1699484.
P. Forrester, E. 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. doi: 10.1007/s00440-004-0374-7.
P. Forrester, DS McAnally. Pieri-type formulas for the non-symmetric Jack polynomials. Commentarii Mathematici Helvetici, 79, 1-24, 2004. doi: 10.1007/s00014-003-0789-2.
P. Forrester, JP Keating. Singularity dominated strong fluctuations for some random matrix averages. Communications in Mathematical Physics, 250, 119-131, 2004. doi: 10.1007/s00220-004-1121-8.
P. Forrester, N. Witte. Application of the t-Function Theory of Painleve Equations to Random Matrices: PVI The JUE, CyUE, cJUE and Scaled Limits. Nagoya Mathematical Journal, 174, 29-114, 2004. doi: 10.1017/S0027763000008801.
P. Forrester. Statistical properties of the primes and the Riemann zeros. Australian Mathematical Society Gazette, 31, 165-169, 2004.
P. Forrester, N. 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, 2004.
P. Forrester, NE Frankel, T. Garoni, N. Witte. Painleve transcendent evaluations of finite system density matrices for 1d impenetrable bosons. Communications in Mathematical Physics, 238, 257-285, 2003. doi: 10.1007/s00220-003-0851-3.
P. Forrester, NE Frankel, T. Garoni. Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions. Journal of Mathematical Physics, 44, 4157-4175, 2003. doi: 10.1063/1.1599954.
P. Forrester, NE Frankel, T. Garoni, N. Witte. Finite one-dimensional impenetrable Bose systems: Occupation numbers. Physical Review A, 67, 1-17, 2003. doi: 10.1103/PhysRevA.67.043607.
P. Forrester, N. Witte. Discrete Painlevé equations and random matrix averages. Nonlinearity, 16, 1919-1944, 2003. doi: 10.1088/0951-7715/16/6/303.
A BORODIN, P. Forrester. Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Journal of Physics A - Mathematical and General, 36, 2963-2981, 2003. doi: 10.1088/0305-4470/36/12/307.
P. Forrester, NC Snaith, JJM Verbaarschot. Developments in random matrix theory. Journal of Physics A - Mathematical and General, 36, R1-R10, 2003. doi: 10.1088/0305-4470/36/12/201.
T. Nagao, P. Forrester. Dynamical correlations for circular ensembles of random matrices. Nuclear Physics, Section B, 660, 557-578, 2003. doi: 10.1016/S0550-3213(03)00292-X.
P. Forrester. Growth models, random matrices and Painlevé transcendents. Nonlinearity, 16, R27-R49, 2003. doi: 10.1088/0951-7715/16/6/201.
P. Forrester, NE Frankel, TM Garoni. Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions. 2003.
P. Forrester, N. Witte. tau-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles. Nonlinearity, 15, 937-954, 2002. doi: 10.1088/0951-7715/15/3/325.
P. Forrester, N. 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. doi: 10.1002/cpa.3021.
P. Forrester, N. Witte. T-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles. Nonlinearity, 15, 937-954, 2002.
T. Nagao, P. Forrester. Vicious random walkers and a discretization of Gaussian random matrix ensembles. Nuclear Physics, Section B, 620 [FS], 551-565, 2002. doi: 10.1016/S0550-3213(01)00561-2.
P. Forrester, NE Frankel, TM Garoni, NS Witte. Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable Bosons. 2002.
P. Forrester, NE Frankel, TM Garoni, NS Witte. Finite one dimensional impenetrable Bose systems: Occupation numbers. 2002.
P. Forrester, N. Witte. Application of the tau-function theory of Painleve equations to random matrices: PIV, PII and the GUE. Communications in Mathematical Physics, 219, 357-398, 2001. doi: 10.1007/s002200100422.
P. Forrester, B Jancovici, DS McAnally. Analytic properties of the structure function for the one-dimensional one-component log-gas. Journal of Statistical Physics, 102, 737-780, 2001. doi: 10.1023/A:1004846818738.
P. Forrester. Random walks and random permutations. Journal of Physics A - Mathematical and General, 34, L417-L423, 2001. doi: 10.1088/0305-4470/34/31/101.
THB Baker, P. Forrester. Random walks and random fixed point free involutions. Journal of Physics A - Mathematical and General, 34, L381-L390, 2001. doi: 10.1088/0305-4470/34/28/101.
P. Forrester, 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. doi: 10.1088/0305-4470/34/39/301.
P. Forrester, E. Rains. Interrelationships between orthogonal, unitary and symplectic matrix ensembles. 171-208, Cambridge University Press, 2001.
P. Forrester, DS McAnally, Y Nikoyalevsky. On the evaluation formula for Jack polynomials with prescribed symmetry. Journal of Physics A - Mathematical and General, 34, 8407-8424, 2001. doi: 10.1088/0305-4470/34/41/302.
P. Forrester, NS WITTE. Application of the tau-function theory of Painleve equations to random matrices: PIV, PII and the GUE. Communications in Mathematical Physics, 219, 357-398, 2001.
P. Forrester, B Jancovici, DS McAnally. Analytic properties of the structure function for the one-dimensional one-component log-gas. Journal of Statistical Physics, 102, 737-780, 2001. doi: 10.1023/A:1004846818738.
P. Forrester, DS McAnally, Y Nikoyalevsky. On the evaluation formula for Jack polynomials with prescribed symmetry. 2001.
N. Witte, P. Forrester, CM Cosgrove. Integrability, random matrices and Painlevé transcendents. The ANZIAM Journal, 44, 41-50, 2000. doi: 10.1017/S1446181100007896.
M Adler, P. Forrester, T Nagao, P van Moerbeke. Classical skew orthogonal polynomials and random matrices. Journal of Statistical Physics, 99, 141-170, 2000. doi: 10.1023/A:1018644606835.
P. Forrester, NS Witte. Exact Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensembles. Letters in Mathematical Physics, 53, 195-200, 2000. doi: 10.1023/A:1011074616607.
NS Witte, P. Forrester, CM Cosgrove. Gap, probabilities for edge intervals in finite Gaussian and Jacobi unitary matrix ensembles. Nonlinearity, 13, 1439-1464, 2000. doi: 10.1088/0951-7715/13/5/302.
NS Witte, P. Forrester. Gap probabilities in the finite and scaled cauchy random matrix ensembles. Nonlinearity, 13, 1965-1986, 2000. doi: 10.1088/0951-7715/13/6/305.
TH Baker, P. Forrester. Isomorphisms of type A affine Hecke algebras and multivariable orthogonal polynomials. Pacific Journal of Mathematics, 194, 19-41, 2000. doi: 10.2140/pjm.2000.194.19.
TH Baker, P. Forrester. Multivariable Al-Salam & Carlitz polynomials associated with the type A q-Dunkl kernel. Mathematische Nachrichten, 212, 5-35, 2000. doi: 10.1002/(SICI)1522-2616(200004)212:1<5::AID-MANA5>3.0.CO;2-S.
K Aomoto, P. Forrester. On a Jacobian identity associated with real hyperplane arrangements. Compositio Mathematica, 121, 263-295, 2000. doi: 10.1023/A:1001774431216.
P. Forrester, DS McAnally. Pieri-type formulas for the non-symmetric Jack polynomials. 2000.
NS Witte, P. Forrester, Christopher M Cosgrove. Gap Probabilities for Edge Intervals in Finite Gaussian and Jacobi Unitary Matrix Ensembles. 2000.
P. Forrester, B Jancovici, DS McAnally. Analytic properties of the structure function for the one-dimensional one-component log-gas. 2000.
G Tellez, P. Forrester. Exact finite-size study of the 2D OCP at Gamma=4 and Gamma=6. Journal of Statistical Physics, 97, 489-521, 1999. doi: 10.1023/A:1004654923170.
P. Forrester, T Nagao, G Honner. Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges. Nuclear Physics B, 553, 601-643, 1999. doi: 10.1016/S0550-3213(99)00272-2.
G Téllez, P. Forrester. Exact finite-size study of the 2D OCP at Γ = 4 and Γ = 6. Journal of Statistical Physics, 97, 489-521, 1999.
P. Forrester, G Honner. Exact statistical properties of the zeros of complex random polynomials. Journal of Physics A: Mathematical and General, 32, 2961-2981, 1999. doi: 10.1088/0305-4470/32/16/006.
P. Forrester. Fluctuation formula for complex random matrices. Journal of Physics A: Mathematical and General, 32, L159-L163, 1999. doi: 10.1088/0305-4470/32/13/003.
T Nagao, P. Forrester. Quaternion determinant expressions for multilevel dynamical correlation functions of parametric random matrices. Nuclear Physics B, 563, 547-572, 1999. doi: 10.1016/S0550-3213(99)00588-X.
P. Forrester, T Nagao. Correlations for the circular Dyson brownian motion model with Poisson initial conditions. Nuclear Physics B, 532, 733-752, 1998. doi: 10.1016/S0550-3213(98)00551-3.
P. Forrester. Exact results for two-dimensional Coulomb systems. Physics Reports, 301, 235-270, 1998. doi: 10.1016/S0370-1573(98)00012-X.
TH Baker, P. Forrester. Generalizations of theq-Morris Constant Term Identity. Journal of Combinatorial Theory. Series A, 81, 69-87, 1998. doi: 10.1006/jcta.1997.2819.
T Nagao, P. Forrester. Multilevel dynamical correlation functions for Dyson's Brownian motion model of random matrices. Physics Letters, Section A: General, Atomic and Solid State Physics, 247, 42-46, 1998. doi: 10.1016/S0375-9601(98)00602-1.
TH Baker, P. Forrester. Nonsymmetric jack polynomials and integral kernels. Duke Mathematical Journal, 95, 1-50, 1998. doi: 10.1215/S0012-7094-98-09501-1.
TH Baker, P. Forrester, P. Pearce. Random matrix ensembles with an effective extensive external charge. Journal of Physics A: Mathematical and General, 31, 6087-6101, 1998. doi: 10.1088/0305-4470/31/29/002.
T Nagao, P. Forrester. The smallest eigenvalue distribution at the spectrum edge of random matrices. Nuclear Physics B, 509, 561-598, 1998. doi: 10.1016/S0550-3213(97)00670-6.
T Nagao, P. Forrester. Transitive ensembles of random matrices related to orthogonal polynomials. Nuclear Physics B, 530, 742-762, 1998. doi: 10.1016/S0550-3213(98)00501-X.
P. Forrester, T Nagao, G Honner. Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges. 1998.
P. Forrester, G Honner. Exact statistical properties of the zeros of complex random polynomials. 1998.
G Fulford, P. Forrester, A Jones. Modelling with differential and difference equations. 1997.
TH Baker, P. Forrester. A q-analogue of the type A Dunkl operator and integral kernel. International Mathematics Research Notices, 667-686, 1997.
P. Forrester, T Nagao. Correlations for parameter— dependent random matrices. Journal of Statistical Physics, 89, 69-110, 1997. doi: 10.1007/BF02770755.
P. Forrester, B Jancovici. Exact and asymptotic formulas for overdamped Brownian dynamics. Physica A: Statistical Mechanics and its Applications, 238, 405-424, 1997. doi: 10.1016/S0378-4371(96)00459-1.
TH Baker, P. Forrester. Finite-N fluctuation formulas for random matrices. Journal of Statistical Physics, 88, 1371-1386, 1997. doi: 10.1007/BF02732439.
TH Baker, P. Forrester. The Calogero-Sutherland model and generalized classical polynomials. Communications in Mathematical Physics, 188, 175-216, 1997. doi: 10.1007/s002200050161.
P. Forrester, AM Odlyzko. Gaussian unitary ensemble eigenvalues and Riemann [Formula Presented] function zeros: A nonlinear equation for a new statistic. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54, R4493-R4495, 1996. doi: 10.1103/PhysRevE.54.R4493.
P. Forrester, B Jancovici, G Tellez. Universality in some classical Coulomb systems of restricted dimension. 1995.
P. Forrester. Exact results and universal asymptotics in the Laguerre random matrix ensemble. Journal of Mathematical Physics, 35, 2539-2551, 1994. doi: 10.1063/1.530883.
EL Basor, P. Forrester. Formulas for the Evaluation of Toeplitz Determinants with Rational Generating Functions. Mathematische Nachrichten, 170, 5-18, 1994. doi: 10.1002/mana.19941700102.
P. Forrester. Log-gases, random matrices and the Fisher-Hartwig conjecture. Journal of Physics A: Mathematical and General, 26, 1179-1191, 1993. doi: 10.1088/0305-4470/26/5/035.
P. Forrester. Density and correlation functions for the two-component plasma at Γ=2 near a metal wall. The Journal of Chemical Physics, 95, 4545-4549, 1991. doi: 10.1063/1.461745.
P. Forrester. Exact results for vicious walker models of domain walls. Journal of Physics A: Mathematical and General, 24, 203-218, 1991. doi: 10.1088/0305-4470/24/1/028.
P. Forrester. Exact solution of the lock step model of vicious walkers. Journal of Physics A: Mathematical and General, 23, 1259-1273, 1990. doi: 10.1088/0305-4470/23/7/029.
P. Forrester, C. Thompson. Modulated phases and the mean-field theory of magnetism with competing interactions. Journal of Statistical Physics, 51, 519-536, 1988. doi: 10.1007/BF01028470.
GE Andrews, RJ Baxter, DM Bressoud, WH Burge, P. Forrester, G Viennot. Partitions with Prescribed Hook Differences. European Journal of Combinatorics, 8, 341-350, 1987. doi: 10.1016/S0195-6698(87)80041-0.
P. Forrester. Positive and negative charged rods alternating along a line: Exact results. Journal of Statistical Physics, 45, 153-169, 1986. doi: 10.1007/BF01033084.
P. Forrester, RJ Baxter. Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities. Journal of Statistical Physics, 38, 435-472, 1985. doi: 10.1007/BF01010471.
RJ Baxter, P. Forrester. Is the Zamolodchikov model critical?. Journal of Physics A: General Physics, 18, 1483-1497, 1985. doi: 10.1088/0305-4470/18/9/028.
A Alastuey, B Jancovici, L Blum, P. Forrester, ML Rosinberg. The ideally polarizable interface: The metallic boundary limit. The Journal of Chemical Physics, 83, 2366-2367, 1985. doi: 10.1063/1.449278.
P. Forrester. The two-dimensional one-component plasma at Γ =2: Metallic boundary. Journal of Physics A: General Physics, 18, 1419-1434, 1985. doi: 10.1088/0305-4470/18/9/023.
RJ Baxter, P. Forrester. A variational approximation for cubic lattice models in statistical mechanics. Journal of Physics A: Mathematical and General, 17, 2675-2685, 1984. doi: 10.1088/0305-4470/17/13/019.
P. Forrester. Analogues between a quantum many body problem and the log-gas. Journal of Physics A: General Physics, 17, 2059-2067, 1984. doi: 10.1088/0305-4470/17/10/018.
GE Andrews, RJ Baxter, P. Forrester. Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Journal of Statistical Physics, 35, 193-266, 1984. doi: 10.1007/BF01014383.
P. Forrester, B Jancovici. Generalized plasmas and the anamolous quantum Hall effect. Journal de physique. Lettres, 45, 583-589, 1984. doi: 10.1051/jphyslet:019840045012058300.
P. Forrester. Interpretation of an exactly solvable two-component plasma. Journal of Statistical Physics, 35, 77-87, 1984. doi: 10.1007/BF01017365.
P. Forrester. Extensions of several summation formulae of ramanujan using the calculus of residues. Rocky Mountain Journal of Mathematics, 13, 557-572, 1983. doi: 10.1216/RMJ-1983-13-4-557.
P. Forrester, B Jancovici, ER Smith. The two-dimensional one-component plasma at Γ=2: Behavior of correlation functions in strip geometry. Journal of Statistical Physics, 31, 129-140, 1983. doi: 10.1007/BF01010926.
P Choquard, P. Forrester, ER Smith. The two-dimensional one-component plasma at Γ=2: The semiperiodic strip. Journal of Statistical Physics, 33, 13-22, 1983. doi: 10.1007/BF01009744.
P. Forrester, ER Smith. Effects of surface charge on the two-dimensional one-component plasma. ii. interacting double layers. Journal of Physics A: Mathematical and General, 15, 3861-3868, 1982. doi: 10.1088/0305-4470/15/12/034.
P. Forrester, ML Glasser. Some new lattice sums including an exact result for the electrostatic potential within the NaCl lattice. Journal of Physics A: Mathematical and General, 15, 911-914, 1982. doi: 10.1088/0305-4470/15/3/028.