Publications

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  • 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. Finite‐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 matrices”. 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.