Forrester, Peter J.; Kumar, Santosh Computation of marginal eigenvalue distributions in the Laguerre and Jacobi \(\beta\) ensembles. arXiv:2402.16069 Preprint, arXiv:2402.16069 [math-ph] (2024). MSC: 15B52 60B20 15A18 33C45 11B37 62B10 81P40 BibTeX Cite \textit{P. J. Forrester} and \textit{S. Kumar}, ``Computation of marginal eigenvalue distributions in the Laguerre and Jacobi $\beta$ ensembles'', Preprint, arXiv:2402.16069 [math-ph] (2024) Full Text: arXiv OA License
Forrester, Peter J. Rank 1 perturbations in random matrix theory – a review of exact results. (English) Zbl 07803560 Random Matrices Theory Appl. 12, No. 4, Article ID 2330001, 48 p. (2023). MSC: 15B52 15A18 33E17 34M55 34M56 42C05 60B20 60K35 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 12, No. 4, Article ID 2330001, 48 p. (2023; Zbl 07803560) Full Text: DOI arXiv
Forrester, Peter J.; Shen, Bo-Jian Expanding the Fourier transform of the scaled circular Jacobi \(\beta\) ensemble density. (English) Zbl 1526.42016 J. Stat. Phys. 190, No. 10, Paper No. 160, 26 p. (2023). MSC: 42B10 60B20 15B05 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{B.-J. Shen}, J. Stat. Phys. 190, No. 10, Paper No. 160, 26 p. (2023; Zbl 1526.42016) Full Text: DOI arXiv OA License
Kieburg, Mario; Li, Shi-Hao; Zhang, Jiyuan; Forrester, Peter J. Cyclic Pólya ensembles on the unitary matrices and their spectral statistics. (English) Zbl 1516.60002 Constr. Approx. 57, No. 3, 1063-1108 (2023). MSC: 60B20 15B52 43A85 43A90 PDFBibTeX XMLCite \textit{M. Kieburg} et al., Constr. Approx. 57, No. 3, 1063--1108 (2023; Zbl 1516.60002) Full Text: DOI arXiv
Forrester, Peter J.; Kumar, Santosh Computable structural formulas for the distribution of the \(\beta\)-Jacobi edge eigenvalues. (English) Zbl 1525.15028 Ramanujan J. 61, No. 1, 87-110 (2023). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 15B52 60B20 15A18 33C45 11B37 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S. Kumar}, Ramanujan J. 61, No. 1, 87--110 (2023; Zbl 1525.15028) Full Text: DOI arXiv
Forrester, Peter J.; Mays, Anthony Finite size corrections relating to distributions of the length of longest increasing subsequences. (English) Zbl 1518.60004 Adv. Appl. Math. 145, Article ID 102482, 33 p. (2023). Reviewer: Vakhtang V. Kvaratskhelia (Tbilisi) MSC: 60B10 60B20 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. Mays}, Adv. Appl. Math. 145, Article ID 102482, 33 p. (2023; Zbl 1518.60004) Full Text: DOI arXiv
Forrester, Peter J.; Li, Shi-Hao; Shen, Bo-Jian; Yu, Guo-Fu \(q\)-Pearson pair and moments in \(q\)-deformed ensembles. (English) Zbl 1528.33023 Ramanujan J. 60, No. 1, 195-235 (2023). MSC: 33E20 33C45 33D05 33D15 33D45 15B52 60B20 05A30 39A13 44A10 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Ramanujan J. 60, No. 1, 195--235 (2023; Zbl 1528.33023) Full Text: DOI arXiv
Forrester, Peter J. High-low temperature dualities for the classical \(\beta \)-ensembles. (English) Zbl 1500.37011 Random Matrices Theory Appl. 11, No. 4, Article ID 2250035, 25 p. (2022). MSC: 37A60 37A50 37H10 60B20 15B52 33C45 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 11, No. 4, Article ID 2250035, 25 p. (2022; Zbl 1500.37011) Full Text: DOI arXiv
Forrester, Peter J. Global and local scaling limits for the \(\beta=2\) Stieltjes-Wigert random matrix ensemble. (English) Zbl 1501.15028 Random Matrices Theory Appl. 11, No. 2, Article ID 2250020, 26 p. (2022). Reviewer: Martín Argerami (Regina) MSC: 15B52 60B20 33D90 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 11, No. 2, Article ID 2250020, 26 p. (2022; Zbl 1501.15028) Full Text: DOI arXiv
Dai, Dan; Forrester, Peter J.; Xu, Shuai-Xia Applications in random matrix theory of a \(\mathrm{PIII}^\prime\tau\)-function sequence from Okamoto’s Hamiltonian formulation. (English) Zbl 1490.37087 Random Matrices Theory Appl. 11, No. 2, Article ID 2250014, 20 p. (2022). MSC: 37J65 15B52 15A15 33E17 60B20 PDFBibTeX XMLCite \textit{D. Dai} et al., Random Matrices Theory Appl. 11, No. 2, Article ID 2250014, 20 p. (2022; Zbl 1490.37087) Full Text: DOI arXiv
Forrester, Peter J.; Li, Shi-Hao Rate of convergence at the hard edge for various Pólya ensembles of positive definite matrices. (English) Zbl 1490.15052 Integral Transforms Spec. Funct. 33, No. 6, 466-484 (2022). MSC: 15B52 15A15 33E20 33C45 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S.-H. Li}, Integral Transforms Spec. Funct. 33, No. 6, 466--484 (2022; Zbl 1490.15052) Full Text: DOI arXiv
Forrester, Peter J.; Kumar, Santosh Differential recurrences for the distribution of the trace of the \(\beta\)-Jacobi ensemble. (English) Zbl 1496.81091 Physica D 434, Article ID 133220, 11 p. (2022). MSC: 81U35 15B52 33C45 65Q30 47B10 39B42 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S. Kumar}, Physica D 434, Article ID 133220, 11 p. (2022; Zbl 1496.81091) Full Text: DOI arXiv
Forrester, Peter J. Circulant \(L\)-ensembles in the thermodynamic limit. (English) Zbl 1519.60009 J. Phys. A, Math. Theor. 54, No. 44, Article ID 444003, 22 p. (2021). MSC: 60B20 60G55 60K35 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 54, No. 44, Article ID 444003, 22 p. (2021; Zbl 1519.60009) Full Text: DOI arXiv
Rahman, Anas A.; Forrester, Peter J. Linear differential equations for the resolvents of the classical matrix ensembles. (English) Zbl 1480.15043 Random Matrices Theory Appl. 10, No. 3, Article ID 2250003, 43 p. (2021). MSC: 15B52 15A18 34C60 33C45 PDFBibTeX XMLCite \textit{A. A. Rahman} and \textit{P. J. Forrester}, Random Matrices Theory Appl. 10, No. 3, Article ID 2250003, 43 p. (2021; Zbl 1480.15043) Full Text: DOI arXiv
Forrester, Peter J. Moments of the ground state density for the \(d\)-dimensional Fermi gas in an harmonic trap. (English) Zbl 1483.81172 Random Matrices Theory Appl. 10, No. 2, Article ID 2150018, 18 p. (2021). MSC: 81V74 82D05 15B52 03D80 82B30 28C20 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 10, No. 2, Article ID 2150018, 18 p. (2021; Zbl 1483.81172) Full Text: DOI arXiv
Forrester, Peter J. Dyson’s disordered linear chain from a random matrix theory viewpoint. (English) Zbl 1484.82051 J. Math. Phys. 62, No. 10, Article ID 103302, 14 p. (2021). MSC: 82C44 60B20 82C23 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Math. Phys. 62, No. 10, Article ID 103302, 14 p. (2021; Zbl 1484.82051) Full Text: DOI arXiv
Forrester, Peter J.; Li, Shi-Hao; Trinh, Allan K. Asymptotic correlations with corrections for the circular Jacobi \(\beta\)-ensemble. (English) Zbl 1481.15037 J. Approx. Theory 271, Article ID 105633, 24 p. (2021). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 15B52 15A15 33E20 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., J. Approx. Theory 271, Article ID 105633, 24 p. (2021; Zbl 1481.15037) Full Text: DOI arXiv
Zhang, Jiyuan; Kieburg, Mario; Forrester, Peter J. Harmonic analysis for rank-1 randomised Horn problems. (English) Zbl 1478.42015 Lett. Math. Phys. 111, No. 4, Paper No. 98, 27 p. (2021). Reviewer: Yogesh Sharma (Sardarpura) MSC: 42B20 15B52 60B20 PDFBibTeX XMLCite \textit{J. Zhang} et al., Lett. Math. Phys. 111, No. 4, Paper No. 98, 27 p. (2021; Zbl 1478.42015) Full Text: DOI arXiv
Forrester, P. J.; Mazzuca, G. The classical \(\beta \)-ensembles with \(\beta\) proportional to \(1/N\): from loop equations to Dyson’s disordered chain. (English) Zbl 1469.60031 J. Math. Phys. 62, No. 7, Article ID 073505, 22 p. (2021). MSC: 60B20 15B52 62P35 82B44 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{G. Mazzuca}, J. Math. Phys. 62, No. 7, Article ID 073505, 22 p. (2021; Zbl 1469.60031) Full Text: DOI arXiv
Forrester, Peter J. Differential identities for the structure function of some random matrix ensembles. (English) Zbl 1467.60009 J. Stat. Phys. 183, No. 2, Paper No. 33, 28 p. (2021). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Stat. Phys. 183, No. 2, Paper No. 33, 28 p. (2021; Zbl 1467.60009) Full Text: DOI arXiv
Forrester, Peter J.; Liu, Dang-Zheng Phase transitions for products of characteristic polynomials under Dyson Brownian motion. (English) Zbl 1480.60246 Acta Math. Sin., Engl. Ser. 37, No. 3, 509-524 (2021). MSC: 60J65 15B52 37H10 11M26 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{D.-Z. Liu}, Acta Math. Sin., Engl. Ser. 37, No. 3, 509--524 (2021; Zbl 1480.60246) Full Text: DOI arXiv
Forrester, Peter J.; Li, Shi-Hao Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\). (English) Zbl 1467.82091 Adv. Math. 383, Article ID 107678, 27 p. (2021). MSC: 82D10 82C22 33C47 33C45 33E20 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S.-H. Li}, Adv. Math. 383, Article ID 107678, 27 p. (2021; Zbl 1467.82091) Full Text: DOI arXiv
Forrester, Peter; Zhang, Jiyuan Corank-1 projections and the randomised Horn problem. (English) Zbl 1448.15045 Tunis. J. Math. 3, No. 1, 55-73 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 15A18 60B20 15B57 PDFBibTeX XMLCite \textit{P. Forrester} and \textit{J. Zhang}, Tunis. J. Math. 3, No. 1, 55--73 (2021; Zbl 1448.15045) Full Text: DOI arXiv
Dartois, Stephane; Forrester, Peter J. Schwinger-Dyson and loop equations for a product of square Ginibre random matrices. (English) Zbl 1514.60009 J. Phys. A, Math. Theor. 53, No. 17, Article ID 175201, 35 p. (2020). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{S. Dartois} and \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 53, No. 17, Article ID 175201, 35 p. (2020; Zbl 1514.60009) Full Text: DOI arXiv
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S. How many eigenvalues of a product of truncated orthogonal matrices are real? (English) Zbl 1466.15035 Exp. Math. 29, No. 3, 276-290 (2020). MSC: 15B52 15A18 15B10 33C47 34L20 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Exp. Math. 29, No. 3, 276--290 (2020; Zbl 1466.15035) Full Text: DOI arXiv
Forrester, P. J.; Zhang, Jiyuan Lyapunov exponents for some isotropic random matrix ensembles. (English) Zbl 1446.60006 J. Stat. Phys. 180, No. 1-6, 558-575 (2020). MSC: 60B20 15B52 37H10 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. Zhang}, J. Stat. Phys. 180, No. 1--6, 558--575 (2020; Zbl 1446.60006) Full Text: DOI arXiv
Forrester, Peter J.; Zhang, Jiyuan Parametrising correlation matrices. (English) Zbl 1440.15034 J. Multivariate Anal. 178, Article ID 104619, 9 p. (2020). MSC: 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. Zhang}, J. Multivariate Anal. 178, Article ID 104619, 9 p. (2020; Zbl 1440.15034) Full Text: DOI arXiv
Forrester, Peter J.; Li, Shi-Hao Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions. (English) Zbl 1432.15036 Trans. Am. Math. Soc. 373, No. 1, 665-698 (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 15B52 33E20 15A15 33C45 33D15 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S.-H. Li}, Trans. Am. Math. Soc. 373, No. 1, 665--698 (2020; Zbl 1432.15036) Full Text: DOI arXiv
Forrester, Peter J.; Kumar, Santosh Recursion scheme for the largest \(\beta\)-Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport. (English) Zbl 1509.15023 J. Phys. A, Math. Theor. 52, No. 42, Article ID 42LT02, 11 p. (2019). MSC: 15B52 60B20 81T32 81P40 81P47 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S. Kumar}, J. Phys. A, Math. Theor. 52, No. 42, Article ID 42LT02, 11 p. (2019; Zbl 1509.15023) Full Text: DOI arXiv
Forrester, Peter J.; Trinh, Allan K. Finite-size corrections at the hard edge for the Laguerre \(\beta\) ensemble. (English) Zbl 1452.15025 Stud. Appl. Math. 143, No. 3, 315-336 (2019). Reviewer: Ludwig Paditz (Dresden) MSC: 15B52 15A18 33C45 33C52 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. K. Trinh}, Stud. Appl. Math. 143, No. 3, 315--336 (2019; Zbl 1452.15025) Full Text: DOI arXiv
Forrester, Peter J.; Ipsen, Jesper R.; Liu, Dang-Zheng; Zhang, Lun Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles. (English) Zbl 1444.60012 Random Matrices Theory Appl. 8, No. 4, Article ID 1950015, 37 p. (2019). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Random Matrices Theory Appl. 8, No. 4, Article ID 1950015, 37 p. (2019; Zbl 1444.60012) Full Text: DOI arXiv
Kieburg, Mario; Forrester, Peter J.; Ipsen, Jesper R. Multiplicative convolution of real asymmetric and real anti-symmetric matrices. (English) Zbl 1475.15043 Adv. Pure Appl. Math. 10, No. 4, 467-492 (2019). MSC: 15B52 15A18 60B20 42C05 PDFBibTeX XMLCite \textit{M. Kieburg} et al., Adv. Pure Appl. Math. 10, No. 4, 467--492 (2019; Zbl 1475.15043) Full Text: DOI arXiv
Forrester, Peter J.; Ipsen, Jesper R. A generalisation of the relation between zeros of the complex Kac polynomial and eigenvalues of truncated unitary matrices. (English) Zbl 1433.30007 Probab. Theory Relat. Fields 175, No. 3-4, 833-847 (2019). MSC: 30B20 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. R. Ipsen}, Probab. Theory Relat. Fields 175, No. 3--4, 833--847 (2019; Zbl 1433.30007) Full Text: DOI arXiv
Forrester, Peter J. Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883. (English) Zbl 1421.15003 Random Matrices Theory Appl. 8, No. 2, Article ID 1930001, 9 p. (2019). MSC: 15A15 15B52 26B15 15-03 01A55 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 8, No. 2, Article ID 1930001, 9 p. (2019; Zbl 1421.15003) Full Text: DOI arXiv
Forrester, Peter J.; Trinh, Allan K. Optimal soft edge scaling variables for the Gaussian and Laguerre even \(\beta\) ensembles. (English) Zbl 1405.60010 Nucl. Phys., B 938, 621-639 (2019). MSC: 60B20 15B52 11M36 11B37 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. K. Trinh}, Nucl. Phys., B 938, 621--639 (2019; Zbl 1405.60010) Full Text: DOI arXiv
Ipsen, J. R.; Forrester, P. J. Kac-Rice fixed point analysis for single- and multi-layered complex systems. (English) Zbl 1411.37048 J. Phys. A, Math. Theor. 51, No. 47, Article ID 474003, 19 p. (2018). MSC: 37F10 60B20 60G60 37C25 15B52 PDFBibTeX XMLCite \textit{J. R. Ipsen} and \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 51, No. 47, Article ID 474003, 19 p. (2018; Zbl 1411.37048) Full Text: DOI arXiv
Forrester, Peter J.; Kumar, Santosh The probability that all eigenvalues are real for products of truncated real orthogonal random matrices. (English) Zbl 1456.15035 J. Theor. Probab. 31, No. 4, 2056-2071 (2018). MSC: 15B52 15A18 33E20 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{S. Kumar}, J. Theor. Probab. 31, No. 4, 2056--2071 (2018; Zbl 1456.15035) Full Text: DOI arXiv
Forrester, Peter J.; Trinh, Allan K. Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE. (English) Zbl 1407.60007 J. Math. Phys. 59, No. 5, 053302, 18 p. (2018). MSC: 60B20 60G15 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. K. Trinh}, J. Math. Phys. 59, No. 5, 053302, 18 p. (2018; Zbl 1407.60007) Full Text: DOI arXiv
Forrester, P. J.; Ipsen, J. R.; Liu, Dang-Zheng Matrix product ensembles of Hermite type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral. (English) Zbl 1430.60010 Ann. Henri Poincaré 19, No. 5, 1307-1348 (2018). MSC: 60B20 60G55 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Ann. Henri Poincaré 19, No. 5, 1307--1348 (2018; Zbl 1430.60010) Full Text: DOI arXiv
Forrester, P. J.; Ipsen, J. R. Selberg integral theory and Muttalib-Borodin ensembles. (English) Zbl 1381.33016 Adv. Appl. Math. 95, 152-176 (2018). MSC: 33C45 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. R. Ipsen}, Adv. Appl. Math. 95, 152--176 (2018; Zbl 1381.33016) Full Text: DOI arXiv
Forrester, Peter J. Octonions in random matrix theory. (English) Zbl 1404.15028 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2200, Article ID 20160800, 11 p. (2017). MSC: 15B52 17C50 17A75 11M50 PDFBibTeX XMLCite \textit{P. J. Forrester}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2200, Article ID 20160800, 11 p. (2017; Zbl 1404.15028) Full Text: DOI arXiv
Forrester, Peter J.; Rahman, Anas A.; Witte, Nicholas S. Large \(N\) expansions for the Laguerre and Jacobi \(\beta\)-ensembles from the loop equations. (English) Zbl 1384.82012 J. Math. Phys. 58, No. 11, 113303, 25 p. (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82C70 15B52 47A10 11M36 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., J. Math. Phys. 58, No. 11, 113303, 25 p. (2017; Zbl 1384.82012) Full Text: DOI arXiv
Bornemann, Folkmar; Forrester, Peter J.; Mays, Anthony Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros. (English) Zbl 1368.81080 Stud. Appl. Math. 138, No. 4, 401-437 (2017). MSC: 81Q50 15B52 11M26 81Q15 PDFBibTeX XMLCite \textit{F. Bornemann} et al., Stud. Appl. Math. 138, No. 4, 401--437 (2017; Zbl 1368.81080) Full Text: DOI arXiv Link
Forrester, Peter J.; Wang, Dong Muttalib-Borodin ensembles in random matrix theory – realisations and correlation functions. (English) Zbl 1366.60009 Electron. J. Probab. 22, Paper No. 54, 43 p. (2017). MSC: 60B20 15B52 82D35 30E10 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{D. Wang}, Electron. J. Probab. 22, Paper No. 54, 43 p. (2017; Zbl 1366.60009) Full Text: DOI arXiv Euclid
Diaconis, Persi; Forrester, Peter J. Hurwitz and the origins of random matrix theory in mathematics. (English) Zbl 1398.11119 Random Matrices Theory Appl. 6, No. 1, Article ID 1730001, 26 p. (2017). MSC: 11M50 11E57 15B52 60B20 37L40 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{P. J. Forrester}, Random Matrices Theory Appl. 6, No. 1, Article ID 1730001, 26 p. (2017; Zbl 1398.11119) Full Text: DOI arXiv
Witte, N. S.; Forrester, P. J. Singular values of products of Ginibre random matrices. (English) Zbl 1370.37115 Stud. Appl. Math. 138, No. 2, 135-184 (2017). Reviewer: Dmitry Artamonov (Moskva) MSC: 37J35 34M55 15B52 33C10 60B20 34A34 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{P. J. Forrester}, Stud. Appl. Math. 138, No. 2, 135--184 (2017; Zbl 1370.37115) Full Text: DOI arXiv
Forrester, Peter J.; Ipsen, Jesper R. Real eigenvalue statistics for products of asymmetric real Gaussian matrices. (English) Zbl 1352.15038 Linear Algebra Appl. 510, 259-290 (2016). MSC: 15B52 33C47 34L20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. R. Ipsen}, Linear Algebra Appl. 510, 259--290 (2016; Zbl 1352.15038) Full Text: DOI arXiv
Bornemann, Folkmar; Forrester, Peter J. Singular values and evenness symmetry in random matrix theory. (English) Zbl 1347.15042 Forum Math. 28, No. 5, 873-891 (2016). MSC: 15B52 60B20 15A18 PDFBibTeX XMLCite \textit{F. Bornemann} and \textit{P. J. Forrester}, Forum Math. 28, No. 5, 873--891 (2016; Zbl 1347.15042) Full Text: DOI arXiv
Forrester, Peter J.; Grela, Jacek Hydrodynamical spectral evolution for random matrices. (English) Zbl 1344.15017 J. Phys. A, Math. Theor. 49, No. 8, Article ID 085203, 26 p. (2016). MSC: 15B52 60B20 35Q53 15A18 60J65 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. Grela}, J. Phys. A, Math. Theor. 49, No. 8, Article ID 085203, 26 p. (2016; Zbl 1344.15017) Full Text: DOI arXiv
Forrester, Peter J.; Liu, Dang-Zheng Singular values for products of complex Ginibre matrices with a source: hard edge limit and phase transition. (English) Zbl 1382.60015 Commun. Math. Phys. 344, No. 1, 333-368 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{D.-Z. Liu}, Commun. Math. Phys. 344, No. 1, 333--368 (2016; Zbl 1382.60015) Full Text: DOI arXiv
Forrester, Peter J. Analogies between random matrix ensembles and the one-component plasma in two-dimensions. (English) Zbl 1332.15094 Nucl. Phys., B 904, 253-281 (2016). MSC: 15B52 15A18 15B33 82D10 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester}, Nucl. Phys., B 904, 253--281 (2016; Zbl 1332.15094) Full Text: DOI arXiv
Witte, N. S.; Forrester, P. J. Loop equation analysis of the circular \(\beta\) ensembles. (English) Zbl 1388.81450 J. High Energy Phys. 2015, No. 2, Paper No. 173, 42 p. (2015). MSC: 81T25 60B20 15B52 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{P. J. Forrester}, J. High Energy Phys. 2015, No. 2, Paper No. 173, 42 p. (2015; Zbl 1388.81450) Full Text: DOI arXiv
Forrester, Peter J.; Mays, Anthony Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros. (English) Zbl 1371.11130 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 471, No. 2182, Article ID 20150436, 21 p. (2015). MSC: 11M26 15B52 11M06 11Y40 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. Mays}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 471, No. 2182, Article ID 20150436, 21 p. (2015; Zbl 1371.11130) Full Text: DOI arXiv
Forrester, Peter J. Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble. (English) Zbl 1335.82011 J. Phys. A, Math. Theor. 48, No. 32, Article ID 324001, 14 p. (2015). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B30 60B20 15B52 11M06 60G55 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 48, No. 32, Article ID 324001, 14 p. (2015; Zbl 1335.82011) Full Text: DOI arXiv
Forrester, Peter J.; Liu, Dang-Zheng; Zinn-Justin, Paul Equilibrium problems for Raney densities. (English) Zbl 1319.05011 Nonlinearity 28, No. 7, 2265-2277 (2015). MSC: 05A10 15B52 45E10 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Nonlinearity 28, No. 7, 2265--2277 (2015; Zbl 1319.05011) Full Text: DOI arXiv
Forrester, Peter J.; Liu, Dang-Zheng Raney distributions and random matrix theory. (English) Zbl 1352.60024 J. Stat. Phys. 158, No. 5, 1051-1082 (2015). Reviewer: Demetres Christofides (Pyla) MSC: 60E10 60B20 15B52 05A10 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{D.-Z. Liu}, J. Stat. Phys. 158, No. 5, 1051--1082 (2015; Zbl 1352.60024) Full Text: DOI arXiv
Forrester, Peter J.; Witte, Nicholas S. Painlevé II in random matrix theory and related fields. (English) Zbl 1318.81048 Constr. Approx. 41, No. 3, 589-613 (2015). MSC: 81T13 33E17 15B52 70S15 81T40 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{N. S. Witte}, Constr. Approx. 41, No. 3, 589--613 (2015; Zbl 1318.81048) Full Text: DOI arXiv
Forrester, Peter J. Asymptotics of finite system Lyapunov exponents for some random matrix ensembles. (English) Zbl 1323.15021 J. Phys. A, Math. Theor. 48, No. 21, Article ID 215205, 17 p. (2015). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 15A18 15B33 34D05 34D08 60B20 60F05 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 48, No. 21, Article ID 215205, 17 p. (2015; Zbl 1323.15021) Full Text: DOI arXiv
Forrester, Peter J. Asymptotics of spacing distributions 50 years later. (English) Zbl 1360.60017 Deift, Percy (ed.) et al., Random matrix theory, interacting particle systems and integrable systems. New York, NY: Cambridge University Press (ISBN 978-1-107-07992-2/hbk). Mathematical Sciences Research Institute Publications 65, 199-222 (2014). MSC: 60B20 15B52 60-03 PDFBibTeX XMLCite \textit{P. J. Forrester}, Math. Sci. Res. Inst. Publ. 65, 199--222 (2014; Zbl 1360.60017) Full Text: arXiv
Forrester, Peter J.; Lebowitz, Joel L. Local central limit theorem for determinantal point processes. (English) Zbl 1307.60013 J. Stat. Phys. 157, No. 1, 60-69 (2014). MSC: 60F05 60G55 60B20 15B52 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{J. L. Lebowitz}, J. Stat. Phys. 157, No. 1, 60--69 (2014; Zbl 1307.60013) Full Text: DOI arXiv
Deift, Percy (ed.); Forrester, Peter (ed.) Random matrix theory, interacting particle systems and integrable systems. (English) Zbl 1318.81009 Mathematical Sciences Research Institute Publications 65. New York, NY: Cambridge University Press (ISBN 978-1-107-07992-2/hbk). x, 528 p. (2014). MSC: 81-06 81R12 81V25 15B52 81S25 00A79 00B15 PDFBibTeX XMLCite \textit{P. Deift} (ed.) and \textit{P. Forrester} (ed.), Random matrix theory, interacting particle systems and integrable systems. New York, NY: Cambridge University Press (2014; Zbl 1318.81009) Full Text: Link
Forrester, Peter J. Eigenvalue statistics for product complex Wishart matrices. (English) Zbl 1309.15053 J. Phys. A, Math. Theor. 47, No. 34, Article ID 345202, 22 p. (2014). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 15B52 33C70 60G15 33C60 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 47, No. 34, Article ID 345202, 22 p. (2014; Zbl 1309.15053) Full Text: DOI arXiv
Witte, N. S.; Forrester, P. J. Moments of the Gaussian {\(\beta\)} ensembles and the large-\(N\) expansion of the densities. (English) Zbl 1301.82023 J. Math. Phys. 55, No. 8, 083302, 34 p. (2014). MSC: 82B31 60B20 15B52 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{P. J. Forrester}, J. Math. Phys. 55, No. 8, 083302, 34 p. (2014; Zbl 1301.82023) Full Text: DOI arXiv
Forrester, Peter J.; Thompson, Colin J. The Golden-Thompson inequality: historical aspects and random matrix applications. (English) Zbl 1308.15018 J. Math. Phys. 55, No. 2, 023503, 12 p. (2014). MSC: 15A45 15-03 01A99 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{C. J. Thompson}, J. Math. Phys. 55, No. 2, 023503, 12 p. (2014; Zbl 1308.15018) Full Text: DOI arXiv
Forrester, Peter J. Probability of all eigenvalues real for products of standard Gaussian matrices. (English) Zbl 1290.15024 J. Phys. A, Math. Theor. 47, No. 6, Article ID 065202, 12 p. (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B52 33C60 15A15 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 47, No. 6, Article ID 065202, 12 p. (2014; Zbl 1290.15024) Full Text: DOI arXiv
Forrester, Peter J. Probability densities and distributions for spiked and general variance Wishart \(\beta\)-ensembles. (English) Zbl 1281.15042 Random Matrices Theory Appl. 2, No. 4, Article ID 1350011, 19 p. (2013). MSC: 15B52 15A18 60B20 33E17 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 2, No. 4, Article ID 1350011, 19 p. (2013; Zbl 1281.15042) Full Text: DOI arXiv
Forrester, Peter J. The averaged characteristic polynomial for the Gaussian and chiral Gaussian ensembles with a source. (English) Zbl 1279.15029 J. Phys. A, Math. Theor. 46, No. 34, Article ID 345204, 17 p. (2013). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15B52 60B20 33C47 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 46, No. 34, Article ID 345204, 17 p. (2013; Zbl 1279.15029) Full Text: DOI arXiv
Forrester, Peter J. Asymptotics of spacing distributions at the hard edge for \(\beta\)-ensembles. (English) Zbl 1280.15019 Random Matrices Theory Appl. 2, No. 2, Article ID 1350002, 21 p. (2013). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B52 33B15 60B20 15A18 60F10 PDFBibTeX XMLCite \textit{P. J. Forrester}, Random Matrices Theory Appl. 2, No. 2, Article ID 1350002, 21 p. (2013; Zbl 1280.15019) Full Text: DOI arXiv
Forrester, Peter J. Lyapunov exponents for products of complex Gaussian random matrices. (English) Zbl 1272.82020 J. Stat. Phys. 151, No. 5, 796-808 (2013). MSC: 82B44 15B52 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Stat. Phys. 151, No. 5, 796--808 (2013; Zbl 1272.82020) Full Text: DOI arXiv
Witte, N. S.; Bornemann, F.; Forrester, P. J. Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. (English) Zbl 1283.15114 Nonlinearity 26, No. 6, 1799-1822 (2013). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 15B52 60B20 15A18 15A42 34M55 PDFBibTeX XMLCite \textit{N. S. Witte} et al., Nonlinearity 26, No. 6, 1799--1822 (2013; Zbl 1283.15114) Full Text: DOI arXiv
Forrester, Peter J. Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations. (English) Zbl 1279.15028 J. Phys. A, Math. Theor. 46, No. 24, Article ID 245203, 10 p. (2013). Reviewer: Carlos Gabriel Pacheco (México D. F.) MSC: 15B52 60B20 15B33 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 46, No. 24, Article ID 245203, 10 p. (2013; Zbl 1279.15028) Full Text: DOI arXiv
Schehr, Grégory; Majumdar, Satya N.; Comtet, Alain; Forrester, Peter J. Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\). (English) Zbl 1308.82037 J. Stat. Phys. 150, No. 3, 491-530 (2013). Reviewer: Christoph Koutschan (Linz) MSC: 82B41 82B26 82B27 15B52 60J65 62G32 81T13 PDFBibTeX XMLCite \textit{G. Schehr} et al., J. Stat. Phys. 150, No. 3, 491--530 (2013; Zbl 1308.82037) Full Text: DOI arXiv
Witte, N. S.; Forrester, P. J. On the variance of the index for the Gaussian unitary ensemble. (English) Zbl 1268.15034 Random Matrices Theory Appl. 1, No. 4, Paper No. 1250010, 25 p. (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 60K35 62E15 33C45 33E17 60B20 15A18 PDFBibTeX XMLCite \textit{N. S. Witte} and \textit{P. J. Forrester}, Random Matrices Theory Appl. 1, No. 4, Paper No. 1250010, 25 p. (2012; Zbl 1268.15034) Full Text: DOI arXiv
Forrester, Peter J.; Mays, Anthony Pfaffian point process for the Gaussian real generalised eigenvalue problem. (English) Zbl 1262.60008 Probab. Theory Relat. Fields 154, No. 1-2, 1-47 (2012). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 15B52 60G55 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. Mays}, Probab. Theory Relat. Fields 154, No. 1--2, 1--47 (2012; Zbl 1262.60008) Full Text: DOI arXiv
Forrester, Peter J.; Witte, Nicholas S. Erratum: Asymptotic forms for hard and soft edge general \(\beta \) conditional gap probabilities. (English) Zbl 1247.82031 Nucl. Phys., B 860, No. 3, 516 (2012). MSC: 82B31 15B52 60K35 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{N. S. Witte}, Nucl. Phys., B 860, No. 3, 516 (2012; Zbl 1247.82031) Full Text: DOI
Forrester, Peter J.; Witte, Nicholas S. Asymptotic forms for hard and soft edge general \(\beta \) conditional gap probabilities. (English) Zbl 1246.82037 Nucl. Phys., B 859, No. 3, 321-340 (2012); erratum ibid. 860, No. 3, 516 (2012). MSC: 82B31 15B52 60K35 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{N. S. Witte}, Nucl. Phys., B 859, No. 3, 321--340 (2012; Zbl 1246.82037) Full Text: DOI arXiv
Forrester, Peter J. Large deviation eigenvalue density for the soft edge Laguerre and Jacobi \(\beta \)-ensembles. (English) Zbl 1241.82007 J. Phys. A, Math. Theor. 45, No. 14, Article ID 145201, 15 p. (2012). MSC: 82B05 15B52 15A18 60F10 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 45, No. 14, Article ID 145201, 15 p. (2012; Zbl 1241.82007) Full Text: DOI arXiv
Forrester, Peter J. Spectral density asymptotics for Gaussian and Laguerre \(\beta \)-ensembles in the exponentially small region. (English) Zbl 1237.15032 J. Phys. A, Math. Theor. 45, No. 7, Article ID 075206, 17 p. (2012). MSC: 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 45, No. 7, Article ID 075206, 17 p. (2012; Zbl 1237.15032) Full Text: DOI arXiv
Forrester, Peter J.; Rains, Eric M. A Fuchsian matrix differential equation for Selberg correlation integrals. (English) Zbl 1245.82030 Commun. Math. Phys. 309, No. 3, 771-792 (2012). Reviewer: Vladimir Mityushev (Kraków) MSC: 82B44 15B52 34M35 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{E. M. Rains}, Commun. Math. Phys. 309, No. 3, 771--792 (2012; Zbl 1245.82030) Full Text: DOI arXiv Link
Bergqvist, Göran; Forrester, Peter J. Rank probabilities for real random \(N\times N \times 2\) tensors. (English) Zbl 1245.15036 Electron. Commun. Probab. 16, 630-637 (2011). MSC: 15B52 15A69 60B20 PDFBibTeX XMLCite \textit{G. Bergqvist} and \textit{P. J. Forrester}, Electron. Commun. Probab. 16, 630--637 (2011; Zbl 1245.15036) Full Text: DOI arXiv
Forrester, Peter J. Beta ensembles. (English) Zbl 1236.15067 Akemann, Gernot (ed.) et al., The Oxford handbook of random matrix theory. Oxford: Oxford University Press (ISBN 978-0-19-957400-1/hbk). Oxford Handbooks in Mathematics, 415-432 (2011). MSC: 15B52 15A18 60B20 81V70 PDFBibTeX XMLCite \textit{P. J. Forrester}, in: The Oxford handbook of random matrix theory. Oxford: Oxford University Press. 415--432 (2011; Zbl 1236.15067)
Forrester, Peter J.; Majumdar, Satya N.; Schehr, Grégory Non-intersecting Brownian walkers and Yang-Mills theory on the sphere. (English) Zbl 1207.82022 Nucl. Phys., B 844, No. 3, 500-526 (2011); erratum ibid. 857, No. 3, 424-427 (2012). MSC: 82B41 60J65 81T13 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., Nucl. Phys., B 844, No. 3, 500--526 (2011; Zbl 1207.82022) Full Text: DOI DOI arXiv
Dumitriu, Ioana; Forrester, Peter J. Tridiagonal realization of the antisymmetric Gaussian \(\beta\)-ensemble. (English) Zbl 1309.81071 J. Math. Phys. 51, No. 9, 093302, 25 p. (2010). MSC: 81Q05 81Q50 15B52 15A18 81Q10 11F72 PDFBibTeX XMLCite \textit{I. Dumitriu} and \textit{P. J. Forrester}, J. Math. Phys. 51, No. 9, 093302, 25 p. (2010; Zbl 1309.81071) Full Text: DOI arXiv
Forrester, Peter J.; Ito, Masahiko Difference system for Selberg correlation integrals. (English) Zbl 1188.81190 J. Phys. A, Math. Theor. 43, No. 17, Article ID 175202, 19 p. (2010). MSC: 81V70 81Q05 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{M. Ito}, J. Phys. A, Math. Theor. 43, No. 17, Article ID 175202, 19 p. (2010; Zbl 1188.81190) Full Text: DOI arXiv
Forrester, Peter J.; Nordenstam, Eric The anti-symmetric GUE minor process. (English) Zbl 1191.15032 Mosc. Math. J. 9, No. 4, 749-774 (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 60G57 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{E. Nordenstam}, Mosc. Math. J. 9, No. 4, 749--774 (2009; Zbl 1191.15032) Full Text: arXiv Link
Forrester, Peter J. Beta random matrix ensembles. (English) Zbl 1182.15020 Bai, Zhidong (ed.) et al., Random matrix theory and its applications. Multivariate statistics and wireless communications. Hackensack, NJ: World Scientific (ISBN 978-981-4273-11-4/hbk). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 18, 27-68 (2009). MSC: 15B52 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 18, 27--68 (2009; Zbl 1182.15020)
Forrester, Peter J.; Rains, Eric M. Matrix averages relating to Ginibre ensembles. (English) Zbl 1196.15035 J. Phys. A, Math. Theor. 42, No. 38, Article ID 385205, 13 p. (2009). Reviewer: Martín Argerami (Regina) MSC: 15B52 33C15 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{E. M. Rains}, J. Phys. A, Math. Theor. 42, No. 38, Article ID 385205, 13 p. (2009; Zbl 1196.15035) Full Text: DOI arXiv Link
Forrester, Peter J.; Krishnapur, Manjunath Derivation of an eigenvalue probability density function relating to the Poincaré disk. (English) Zbl 1187.15037 J. Phys. A, Math. Theor. 42, No. 38, Article ID 385204, 10 p. (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{M. Krishnapur}, J. Phys. A, Math. Theor. 42, No. 38, Article ID 385204, 10 p. (2009; Zbl 1187.15037) Full Text: DOI arXiv
Forrester, Peter J.; Mays, Anthony A method to calculate correlation functions for \(\beta =1\) random matrices of odd size. (English) Zbl 1172.82010 J. Stat. Phys. 134, No. 3, 443-462 (2009). Reviewer: Fabio L. Toninelli (Lyon) MSC: 82B44 15B52 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{A. Mays}, J. Stat. Phys. 134, No. 3, 443--462 (2009; Zbl 1172.82010) Full Text: DOI arXiv
Forrester, Peter J. A random matrix decimation procedure relating \(\beta = 2/( r + 1)\) to \(\beta = 2( r + 1)\). (English) Zbl 1173.15011 Commun. Math. Phys. 285, No. 2, 653-672 (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A60 PDFBibTeX XMLCite \textit{P. J. Forrester}, Commun. Math. Phys. 285, No. 2, 653--672 (2009; Zbl 1173.15011) Full Text: DOI arXiv
Forrester, Peter J.; Nagao, Taro Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble. (English) Zbl 1185.15032 J. Phys. A, Math. Theor. 41, No. 37, Article ID 375003, 19 p. (2008). MSC: 15B52 15A18 33C45 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{T. Nagao}, J. Phys. A, Math. Theor. 41, No. 37, Article ID 375003, 19 p. (2008; Zbl 1185.15032) Full Text: DOI arXiv
Forrester, P. J. On the gap probability generating function at the spectrum edge in the case of orthogonal symmetry. (English) Zbl 1152.15307 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 291-302 (2008). MSC: 15B52 15A18 60K37 PDFBibTeX XMLCite \textit{P. J. Forrester}, Contemp. Math. 458, 291--302 (2008; Zbl 1152.15307) Full Text: arXiv
Desrosiers, Patrick; Forrester, Peter J. A note on biorthogonal ensembles. (English) Zbl 1149.42014 J. Approx. Theory 152, No. 2, 167-187 (2008). MSC: 42C05 33C45 15B52 PDFBibTeX XMLCite \textit{P. Desrosiers} and \textit{P. J. Forrester}, J. Approx. Theory 152, No. 2, 167--187 (2008; Zbl 1149.42014) Full Text: DOI arXiv
Forrester, Peter J.; Witte, Nicholas S. The distribution of the first eigenvalue spacing at the hard edge of the Laguerre unitary ensemble. (English) Zbl 1145.15014 Kyushu J. Math. 61, No. 2, 457-526 (2007). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15B52 33C45 33E17 42C05 60K35 62E15 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{N. S. Witte}, Kyushu J. Math. 61, No. 2, 457--526 (2007; Zbl 1145.15014) Full Text: DOI arXiv
Forrester, Peter J.; Rains, Eric M. Symmetrized models of last passage percolation and non-intersecting lattice paths. (English) Zbl 1136.82022 J. Stat. Phys. 129, No. 5-6, 833-855 (2007). MSC: 82B43 82B20 15B52 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{E. M. Rains}, J. Stat. Phys. 129, No. 5--6, 833--855 (2007; Zbl 1136.82022) Full Text: DOI arXiv Link
Forrester, P. J. Eigenvalue distributions for some correlated complex sample covariance matrices. (English) Zbl 1126.15028 J. Phys. A, Math. Theor. 40, No. 36, 11093-11103 (2007). Reviewer: Václav Burjan (Praha) MSC: 15B52 62H20 15A18 PDFBibTeX XMLCite \textit{P. J. Forrester}, J. Phys. A, Math. Theor. 40, No. 36, 11093--11103 (2007; Zbl 1126.15028) Full Text: DOI arXiv
Forrester, P. J.; Frankel, N. E.; Garoni, T. M. Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry. (English) Zbl 1111.82019 J. Math. Phys. 47, No. 2, 023301, 26 p. (2006). MSC: 82B41 15B52 62E20 PDFBibTeX XMLCite \textit{P. J. Forrester} et al., J. Math. Phys. 47, No. 2, 023301, 26 p. (2006; Zbl 1111.82019) Full Text: DOI arXiv
Desrosiers, Patrick; Forrester, Peter J. Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density. (English) Zbl 1214.82051 Nucl. Phys., B 743, No. 3, 307-332 (2006). MSC: 82B44 15B52 33C90 81R12 82B41 PDFBibTeX XMLCite \textit{P. Desrosiers} and \textit{P. J. Forrester}, Nucl. Phys., B 743, No. 3, 307--332 (2006; Zbl 1214.82051) Full Text: DOI arXiv
Forrester, Peter J.; Rains, Eric M. Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. (English) Zbl 1117.15026 Int. Math. Res. Not. 2006, No. 5, Article ID 48306, 36 p. (2006). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15B57 PDFBibTeX XMLCite \textit{P. J. Forrester} and \textit{E. M. Rains}, Int. Math. Res. Not. 2006, No. 5, Article ID 48306, 36 p. (2006; Zbl 1117.15026) Full Text: arXiv
Forrester, Peter J. Evenness symmetry and inter-relationships between gap probabilities in random matrix theory. (English) Zbl 1130.82311 Forum Math. 18, No. 5, 711-743 (2006). MSC: 82B41 15B52 34M55 33C90 60A10 PDFBibTeX XMLCite \textit{P. J. Forrester}, Forum Math. 18, No. 5, 711--743 (2006; Zbl 1130.82311) Full Text: DOI