×

Forrester, Peter J.

Compute Distance To:
Author ID: forrester.peter-j Recent zbMATH articles by "Forrester, Peter J."
Published as: Forrester, Peter J.; Forrester, P. J.; Forrester, Peter
External Links: ORCID
Documents Indexed: 223 Publications since 1983, including 2 Books
3 Contributions as Editor
Reviewing Activity: 16 Reviews
Co-Authors: 77 Co-Authors with 157 Joint Publications
1,688 Co-Co-Authors
all top 5

Co-Authors

61 single-authored
28 Witte, Nicholas S.
13 Nagao, Taro
12 Baker, Timothy H.
8 Ipsen, Jesper R.
8 Rains, Eric M.
7 Frankel, Norman Edward
6 Jancovici, Bernard
6 Liu, Dangzheng
5 Trinh, Allan K.
5 Zhang, Jiyuan
4 Desrosiers, Patrick
4 Garoni, Timothy M.
4 Ito, Masahiko
4 Mays, Anthony
4 Téllez, Gabriel
3 Baxter, Rodney J.
3 Bornemann, Folkmar A.
3 Kieburg, Mario
3 McAnally, David S.
3 Rahman, Anas A.
2 Alastuey, Angel
2 Andrews, George Eyre
2 Bassler, Kevin E.
2 Cosgrove, Christopher M.
2 Fleming, Benjamin J.
2 Hardin, Douglas P.
2 Honner, G.
2 Majumdar, Satya N.
2 Nordenstam, Eric J. G.
2 Ormerod, Christopher Michael
2 Schehr, Grégory
2 Serfaty, Sylvia
2 Snaith, Nina Claire
2 Thompson, Colin J.
1 Adler, Mark
1 Aomoto, Kazuhiko
1 Baratta, Wendy
1 Basor, Estelle L.
1 Bergqvist, Göran
1 Borodin, Alexei
1 Bressoud, David M.
1 Breuer, Jonathan
1 Burge, William H.
1 Can, Tankut
1 Choquard, Philippe
1 Comtet, Alain
1 Conrey, John Brian
1 Dai, Dan
1 Deift, Percy A.
1 Diaconis, Persi Warren
1 Dumitriu, Ioana
1 Fulford, Glenn Robert
1 Gamburd, Alexander
1 Grela, Jacek
1 Hughes, T. D.
1 Keating, Jonathan Peter
1 Krishnapur, Manjunath
1 Lebowitz, Joel Louis
1 Mangazeev, Vladimir V.
1 Mazzuca, G.
1 Nikoyalevsky, Y.
1 Odlyzko, Andrew M.
1 Pearce, Paul A.
1 Perk, Jacques H. H.
1 Rogers, J. B.
1 Sinclair, Christopher D.
1 Smilansky, Uzy
1 Smith, Edgar Roderick
1 van Moerbeke, Pierre
1 Verbaarschot, Jacobus J. M.
1 Viennot, Xavier Gérard
1 Warnaar, S. Ole
1 Wiegmann, Paul B.
1 Xu, Shuaixia
1 Zhang, Lun
1 Zinn-Justin, Paul
1 Zuk, Josef A.
all top 5

Serials

32 Journal of Statistical Physics
20 Nuclear Physics. B
18 Journal of Physics A: Mathematical and General
17 Journal of Mathematical Physics
16 Journal of Physics A: Mathematical and Theoretical
11 Nonlinearity
10 Random Matrices: Theory and Applications
9 Communications in Mathematical Physics
7 IMRN. International Mathematics Research Notices
5 Probability Theory and Related Fields
4 Studies in Applied Mathematics
4 Constructive Approximation
3 Journal of Approximation Theory
2 International Journal of Modern Physics A
2 International Journal of Modern Physics B
2 Letters in Mathematical Physics
2 Journal of Combinatorial Theory. Series A
2 Mathematische Nachrichten
2 Transactions of the American Mathematical Society
2 Physica D
2 Forum Mathematicum
2 SIAM Journal on Mathematical Analysis
2 Moscow Mathematical Journal
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 The Australian Mathematical Society Gazette
1 Commentarii Mathematici Helvetici
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Journal of Multivariate Analysis
1 Journal of Number Theory
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Statistics & Probability Letters
1 Journal of Theoretical Probability
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Experimental Mathematics
1 Kyushu Journal of Mathematics
1 Methods and Applications of Analysis
1 Integral Transforms and Special Functions
1 Electronic Journal of Probability
1 Electronic Communications in Probability
1 Annals of Combinatorics
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Annales Henri Poincaré
1 The ANZIAM Journal
1 Foundations of Computational Mathematics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Australian Mathematical Society Lecture Series
1 Mathematical Sciences Research Institute Publications
1 London Mathematical Society Monographs Series
1 Advances in Pure and Applied Mathematics
1 Tunisian Journal of Mathematics
1 Probability and Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

202 Publications have been cited 2,759 times in 1,532 Documents Cited by Year
Log-gases and random matrices. Zbl 1217.82003
Forrester, Peter J.
475
2010
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Zbl 0589.60093
Andrews, George E.; Baxter, R. J.; Forrester, P. J.
177
1984
The spectrum edge of random matrix ensembles. Zbl 1043.82538
Forrester, P. J.
128
1993
The importance of the Selberg integral. Zbl 1154.33002
Forrester, Peter J.; Warnaar, S. Ole
122
2008
The Calogero-Sutherland model and generalized classical polynomials. Zbl 0903.33010
Baker, T. H.; Forrester, P. J.
73
1997
Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges. Zbl 0944.82012
Forrester, P. J.; Nagao, T.; Honner, G.
46
1999
Application of the \(\tau\)-function theory of Painlevé equations to random matrices: PIV, PII and the GUE. Zbl 1042.82019
Forrester, P. J.; Witte, N. S.
46
2001
Classical skew orthogonal polynomials and random matrices. Zbl 0989.82020
Adler, M.; Forrester, P. J.; Nagao, T.; van Moerbeke, P.
42
2000
Non-intersecting Brownian walkers and Yang-Mills theory on the sphere. Zbl 1207.82022
Forrester, Peter J.; Majumdar, Satya N.; Schehr, Grégory
40
2011
Interpretations of some parameter dependent generalizations of classical matrix ensembles. Zbl 1056.05142
Forrester, Peter J.; Rains, Eric M.
37
2005
Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities. Zbl 0625.10010
Forrester, P. J.; Baxter, R. J.
36
1985
Application of the \(\tau\)-function theory of Painlevé equations to random matrices: \(\text{P}_V\), \(\text{P}_{III}\), the LUE, JUE, and CUE. Zbl 1029.34087
Forrester, P. J.; Witte, N. S.
35
2002
Application of the \(\tau\)-function theory of Painlevé equations to random matrices: \(\text{P}_{\text{VI}}\), the JUE, CyUE, cJUE and scaled limits. Zbl 1056.15023
Forrester, P. J.; Witte, N. S.
32
2004
Muttalib-Borodin ensembles in random matrix theory – realisations and correlation functions. Zbl 1366.60009
Forrester, Peter J.; Wang, Dong
30
2017
A note on biorthogonal ensembles. Zbl 1149.42014
Desrosiers, Patrick; Forrester, Peter J.
29
2008
Eigenvalue statistics for product complex Wishart matrices. Zbl 1309.15053
Forrester, Peter J.
27
2014
Exact statistical properties of the zeros of complex random polynomials. Zbl 0945.60050
Forrester, P. J.; Honner, G.
26
1999
Raney distributions and random matrix theory. Zbl 1352.60024
Forrester, Peter J.; Liu, Dang-Zheng
26
2015
Partitions with prescribed hook differences. Zbl 0643.05006
Andrews, George E.; Baxter, R. J.; Bressoud, D. M.; Burge, William H.; Forrester, P. J.; Viennot, G.
23
1987
Nonsymmetric Jack polynomials and integral kernels. Zbl 0948.33012
Baker, T. H.; Forrester, P. J.
23
1998
Asymptotic correlations at the spectrum edge of random matrices. Zbl 1020.82588
Nagao, Taro; Forrester, Peter J.
22
1995
Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density. Zbl 1214.82051
Desrosiers, Patrick; Forrester, Peter J.
21
2006
Gap probabilities in the finite and scaled Cauchy random matrix ensembles. Zbl 0980.15018
Witte, N. S.; Forrester, P. J.
20
2000
Applications and generalizations of Fisher-Hartwig asymptotics. Zbl 1071.82014
Forrester, P. J.; Frankel, N. E.
19
2004
Random walks and random permutations. Zbl 0982.82016
Forrester, P. J.
18
2001
Quantum conductance problems and the Jacobi ensemble. Zbl 1092.81069
Forrester, P. J.
18
2006
Exact solution of the lock step model of vicious walkers. Zbl 0706.60079
Forrester, P. J.
17
1990
Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\). Zbl 1308.82037
Schehr, Grégory; Majumdar, Satya N.; Comtet, Alain; Forrester, Peter J.
17
2013
Increasing subsequences and the hard-to-soft edge transition in matrix ensembles. Zbl 1033.60006
Borodin, Alexei; Forrester, Peter J.
17
2003
The anti-symmetric GUE minor process. Zbl 1191.15032
Forrester, Peter J.; Nordenstam, Eric
17
2009
Moments of the Gaussian {\(\beta\)} ensembles and the large-\(N\) expansion of the densities. Zbl 1301.82023
Witte, N. S.; Forrester, P. J.
17
2014
Electrostatics and the zeros of the classical polynomials. Zbl 0613.33009
Forrester, P. J.; Rogers, J. B.
16
1986
Exact results and universal asymptotics in the Laguerre random matrix ensemble. Zbl 0807.60029
Forrester, P. J.
16
1994
The Calogero-Sutherland model and polynomials with prescribed symmetry. Zbl 0986.33500
Baker, T. H.; Forrester, P. J.
16
1997
Finite-\(N\) fluctuation formulas for random matrices. Zbl 0939.82020
Baker, T. H.; Forrester, P. J.
16
1997
Interrelationships between orthogonal, unitary and symplectic matrix ensembles. Zbl 0987.15004
Forrester, Peter J.; Rains, Eric M.
16
2001
Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble. Zbl 1185.15032
Forrester, Peter J.; Nagao, Taro
16
2008
The distribution of the first eigenvalue spacing at the hard edge of the Laguerre unitary ensemble. Zbl 1145.15014
Forrester, Peter J.; Witte, Nicholas S.
15
2007
Large \(N\) expansions for the Laguerre and Jacobi \(\beta\)-ensembles from the loop equations. Zbl 1384.82012
Forrester, Peter J.; Rahman, Anas A.; Witte, Nicholas S.
15
2017
Hurwitz and the origins of random matrix theory in mathematics. Zbl 1398.11119
Diaconis, Persi; Forrester, Peter J.
14
2017
Averages of ratios of characteristic polynomials for the compact classical groups. Zbl 1156.11334
Conrey, J. B.; Forrester, P. J.; Snaith, N. C.
14
2005
Formulas for the evaluation of Toeplitz determinants with rational generating functions. Zbl 0813.15003
Basor, E. L.; Forrester, P. J.
14
1994
Complex Wishart matrices and conductance in mesoscopic systems: Exact results. Zbl 0823.15022
Forrester, P. J.; Hughes, T. D.
14
1994
Random matrix ensembles with an effective extensive external charge. Zbl 0912.15030
Baker, T. H.; Forrester, P. J.; Pearce, P. A.
14
1998
Vicious random walkers and a discretization of Gaussian random matrix ensembles. Zbl 0983.60038
Nagao, Taro; Forrester, Peter J.
14
2002
Developments in random matrix theory. Zbl 1038.15015
Forrester, P. J.; Snaith, N. C.; Verbaarschot, J. J. M.
14
2003
Asymptotic correlations for Gaussian and Wishart matrices with external source. Zbl 1104.62076
Desrosiers, Patrick; Forrester, Peter J.
14
2006
Asymptotic corrections to the eigenvalue density of the GUE and LUE. Zbl 1111.82020
Garoni, T. M.; Forrester, P. J.; Frankel, N. E.
14
2005
Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry. Zbl 1111.82019
Forrester, P. J.; Frankel, N. E.; Garoni, T. M.
14
2006
Singular values for products of complex Ginibre matrices with a source: hard edge limit and phase transition. Zbl 1382.60015
Forrester, Peter J.; Liu, Dang-Zheng
14
2016
Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883. Zbl 1421.15003
Forrester, Peter J.
14
2019
Probability of all eigenvalues real for products of standard Gaussian matrices. Zbl 1290.15024
Forrester, Peter J.
13
2014
A method to calculate correlation functions for \(\beta =1\) random matrices of odd size. Zbl 1172.82010
Forrester, Peter J.; Mays, Anthony
13
2009
Relating the Bures measure to the Cauchy two-matrix model. Zbl 1342.81024
Forrester, Peter J.; Kieburg, Mario
13
2016
A \(q\)-analogue of the type \(A\) Dunkl operator and integral kernel. Zbl 0922.33012
Baker, T. H.; Forrester, P. J.
12
1997
Spectral density asymptotics for Gaussian and Laguerre \(\beta \)-ensembles in the exponentially small region. Zbl 1237.15032
Forrester, Peter J.
12
2012
Pfaffian point process for the Gaussian real generalised eigenvalue problem. Zbl 1262.60008
Forrester, Peter J.; Mays, Anthony
12
2012
Lyapunov exponents for products of complex Gaussian random matrices. Zbl 1272.82020
Forrester, Peter J.
12
2013
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices. Zbl 1117.15026
Forrester, Peter J.; Rains, Eric M.
12
2006
Recurrence equations for the computation of correlations in the \(1/r^2\) quantum many-body system. Zbl 1096.82504
Forrester, P. J.
12
1993
Counting formulas associated with some random matrix averages. Zbl 1097.15019
Forrester, Peter J.; Gamburd, Alex
12
2006
Exact finite-size study of the 2D OCP at \(\Gamma=4\) and \(\Gamma=6\). Zbl 0962.82029
Téllez, G.; Forrester, P. J.
12
1999
Probability densities and distributions for spiked and general variance Wishart \(\beta\)-ensembles. Zbl 1281.15042
Forrester, Peter J.
11
2013
Discrete Painlevé equations and random matrix averages. Zbl 1071.15026
Forrester, P. J.; Witte, N. S.
11
2003
Fluctuation formula for complex random matrices. Zbl 0936.82001
Forrester, P. J.
11
1999
Transformation formulas for multivariable basic hypergeometric series. Zbl 0956.33013
Baker, T. H.; Forrester, P. J.
11
1999
The two-dimensional one-component plasma at \(\Gamma =2:\) The semiperiodic strip. Zbl 0583.76134
Choquard, Ph.; Forrester, P. J.; Smith, E. R.
10
1983
Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. Zbl 1283.15114
Witte, N. S.; Bornemann, F.; Forrester, P. J.
10
2013
Differential equations for deformed Laguerre polynomials. Zbl 1200.34112
Forrester, Peter J.; Ormerod, Christopher M.
10
2010
Boundary conditions associated with the Painlevé III’ and V evaluations of some random matrix averages. Zbl 1098.15017
Forrester, P. J.; Witte, N. S.
10
2006
Quaternion determinant expressions for multilevel dynamical correlation functions of parametric random matrices. Zbl 0969.82011
Nagao, Taro; Forrester, Peter J.
10
1999
Real eigenvalue statistics for products of asymmetric real Gaussian matrices. Zbl 1352.15038
Forrester, Peter J.; Ipsen, Jesper R.
10
2016
Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter. Zbl 1101.82013
Forrester, Peter J.; Rains, Eric M.
9
2004
Singularity dominated strong fluctuations for some random matrix averages. Zbl 1087.82012
Forrester, P. J.; Keating, J. P.
9
2004
Evenness symmetry and inter-relationships between gap probabilities in random matrix theory. Zbl 1130.82311
Forrester, Peter J.
9
2006
A random matrix decimation procedure relating \(\beta = 2/( r + 1)\) to \(\beta = 2( r + 1)\). Zbl 1173.15011
Forrester, Peter J.
9
2009
Asymptotics of finite system Lyapunov exponents for some random matrix ensembles. Zbl 1323.15021
Forrester, Peter J.
9
2015
Painlevé II in random matrix theory and related fields. Zbl 1318.81048
Forrester, Peter J.; Witte, Nicholas S.
9
2015
Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros. Zbl 1368.81080
Bornemann, Folkmar; Forrester, Peter J.; Mays, Anthony
8
2017
Log-gases, random matrices and the Fisher-Hartwig conjecture. Zbl 0772.60098
Forrester, P. J.
8
1993
Painlevé transcendent evaluations of finite system density matrices for 1d impenetrable bosons. Zbl 1041.82003
Forrester, P. J.; Frankel, N. E.; Garoni, T. M.; Witte, N. S.
8
2003
Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma. Zbl 1259.82113
Téllez, Gabriel; Forrester, Peter J.
8
2012
Normalization of the wavefunction for the calogero-sutherland model with internal degrees of freedom. Zbl 1264.82011
Forrester, Peter J.
8
1996
Equilibrium problems for Raney densities. Zbl 1319.05011
Forrester, Peter J.; Liu, Dang-Zheng; Zinn-Justin, Paul
8
2015
Asymptotics of spacing distributions 50 years later. Zbl 1360.60017
Forrester, Peter J.
8
2014
Analogies between random matrix ensembles and the one-component plasma in two-dimensions. Zbl 1332.15094
Forrester, Peter J.
8
2016
Bi-orthogonal polynomials on the unit circle, regular semi-classical weights and integrable systems. Zbl 1103.05091
Forrester, P. J.; Witte, N. S.
7
2006
Modelling with differential and difference equations. Zbl 0877.76001
Fulford, Glenn; Forrester, Peter; Jones, Arthur
7
1997
Matrix averages relating to Ginibre ensembles. Zbl 1196.15035
Forrester, Peter J.; Rains, Eric M.
7
2009
The averaged characteristic polynomial for the Gaussian and chiral Gaussian ensembles with a source. Zbl 1279.15029
Forrester, Peter J.
7
2013
Discrete Painlevé equations for a class of \(\text{P}_{\text{VI}}\) \(\tau\)-functions given as \(U(N)\) averages. Zbl 1089.33019
Forrester, P. J.; Witte, N. S.
7
2005
Random matrix theory and the sixth Painlevé equation. Zbl 1119.34070
Forrester, P. J.; Witte, N. S.
7
2006
Correlation functions for random involutions. Zbl 1113.60015
Forrester, Peter J.; Nagao, Taro; Rains, Eric M.
7
2006
The two-dimensional Coulomb gas on a sphere: Exact results. Zbl 0893.60091
Forrester, P. J.; Jancovici, B.; Madore, J.
7
1992
Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros. Zbl 1371.11130
Forrester, Peter J.; Mays, Anthony
7
2015
Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE. Zbl 1407.60007
Forrester, Peter J.; Trinh, Allan K.
7
2018
Properties of an exact crystalline many-body ground state. Zbl 0841.35094
Forrester, P. J.
6
1994
Derivation of an eigenvalue probability density function relating to the Poincaré disk. Zbl 1187.15037
Forrester, Peter J.; Krishnapur, Manjunath
6
2009
A Fuchsian matrix differential equation for Selberg correlation integrals. Zbl 1245.82030
Forrester, Peter J.; Rains, Eric M.
6
2012
Random walks and random fixed-point free involutions. Zbl 0999.82034
Baker, T. H.; Forrester, P. J.
6
2001
Classical skew orthogonal polynomials in a two-component log-gas with charges \(+1\) and \(+2\). Zbl 1467.82091
Forrester, Peter J.; Li, Shi-Hao
3
2021
Corank-1 projections and the randomised Horn problem. Zbl 1448.15045
Forrester, Peter; Zhang, Jiyuan
2
2021
Differential identities for the structure function of some random matrix ensembles. Zbl 1467.60009
Forrester, Peter J.
2
2021
The classical \(\beta \)-ensembles with \(\beta\) proportional to \(1/N\): from loop equations to Dyson’s disordered chain. Zbl 1469.60031
Forrester, P. J.; Mazzuca, G.
2
2021
Moments of the ground state density for the \(d\)-dimensional Fermi gas in an harmonic trap. Zbl 1483.81172
Forrester, Peter J.
2
2021
Harmonic analysis for rank-1 randomised Horn problems. Zbl 1478.42015
Zhang, Jiyuan; Kieburg, Mario; Forrester, Peter J.
2
2021
Fox H-kernel and \(\theta\)-deformation of the Cauchy two-matrix model and Bures ensemble. Zbl 07398567
Forrester, Peter J.; Li, Shi-Hao
1
2021
Quantifying dip-ramp-plateau for the Laguerre unitary ensemble structure function. Zbl 07404803
Forrester, Peter J.
1
2021
Linear differential equations for the resolvents of the classical matrix ensembles. Zbl 1480.15043
Rahman, Anas A.; Forrester, Peter J.
1
2021
Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions. Zbl 1432.15036
Forrester, Peter J.; Li, Shi-Hao
4
2020
Matrix polar decomposition and generalisations of the Blaschke-Petkantschin formula in integral geometry. Zbl 1462.53065
Forrester, Peter J.
2
2020
How many eigenvalues of a product of truncated orthogonal matrices are real? Zbl 1466.15035
Forrester, Peter J.; Ipsen, Jesper R.; Kumar, S.
1
2020
Lyapunov exponents for some isotropic random matrix ensembles. Zbl 1446.60006
Forrester, P. J.; Zhang, Jiyuan
1
2020
Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883. Zbl 1421.15003
Forrester, Peter J.
14
2019
Finite-size corrections at the hard edge for the Laguerre \(\beta\) ensemble. Zbl 1452.15025
Forrester, Peter J.; Trinh, Allan K.
5
2019
Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles. Zbl 1444.60012
Forrester, Peter J.; Ipsen, Jesper R.; Liu, Dang-Zheng; Zhang, Lun
3
2019
Multiplicative convolution of real asymmetric and real anti-symmetric matrices. Zbl 1475.15043
Kieburg, Mario; Forrester, Peter J.; Ipsen, Jesper R.
3
2019
Optimal soft edge scaling variables for the Gaussian and Laguerre even \(\beta\) ensembles. Zbl 1405.60010
Forrester, Peter J.; Trinh, Allan K.
3
2019
Functional form for the leading correction to the distribution of the largest eigenvalue in the GUE and LUE. Zbl 1407.60007
Forrester, Peter J.; Trinh, Allan K.
7
2018
Selberg integral theory and Muttalib-Borodin ensembles. Zbl 1381.33016
Forrester, P. J.; Ipsen, J. R.
6
2018
Matrix product ensembles of Hermite type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral. Zbl 1430.60010
Forrester, P. J.; Ipsen, J. R.; Liu, Dang-Zheng
5
2018
Volumes and distributions for random unimodular complex and quaternion lattices. Zbl 1420.11095
Forrester, Peter J.; Zhang, Jiyuan
3
2018
Integrable structure of products of finite complex Ginibre random matrices. Zbl 1415.60011
Mangazeev, Vladimir V.; Forrester, Peter J.
2
2018
The probability that all eigenvalues are real for products of truncated real orthogonal random matrices. Zbl 1456.15035
Forrester, Peter J.; Kumar, Santosh
2
2018
Comment on: “Sum of squares of uniform random variables” by I. Weissman. Zbl 1407.60062
Forrester, Peter J.
2
2018
Kac-Rice fixed point analysis for single- and multi-layered complex systems. Zbl 1411.37048
Ipsen, J. R.; Forrester, P. J.
1
2018
Muttalib-Borodin ensembles in random matrix theory – realisations and correlation functions. Zbl 1366.60009
Forrester, Peter J.; Wang, Dong
30
2017
Large \(N\) expansions for the Laguerre and Jacobi \(\beta\)-ensembles from the loop equations. Zbl 1384.82012
Forrester, Peter J.; Rahman, Anas A.; Witte, Nicholas S.
15
2017
Hurwitz and the origins of random matrix theory in mathematics. Zbl 1398.11119
Diaconis, Persi; Forrester, Peter J.
14
2017
Finite size effects for spacing distributions in random matrix theory: circular ensembles and Riemann zeros. Zbl 1368.81080
Bornemann, Folkmar; Forrester, Peter J.; Mays, Anthony
8
2017
A bilateral extension of the \(q\)-Selberg integral. Zbl 1360.33016
Ito, Masahiko; Forrester, Peter J.
6
2017
Singular values of products of Ginibre random matrices. Zbl 1370.37115
Witte, N. S.; Forrester, P. J.
5
2017
Singular values for products of complex Ginibre matrices with a source: hard edge limit and phase transition. Zbl 1382.60015
Forrester, Peter J.; Liu, Dang-Zheng
14
2016
Relating the Bures measure to the Cauchy two-matrix model. Zbl 1342.81024
Forrester, Peter J.; Kieburg, Mario
13
2016
Real eigenvalue statistics for products of asymmetric real Gaussian matrices. Zbl 1352.15038
Forrester, Peter J.; Ipsen, Jesper R.
10
2016
Analogies between random matrix ensembles and the one-component plasma in two-dimensions. Zbl 1332.15094
Forrester, Peter J.
8
2016
Hydrodynamical spectral evolution for random matrices. Zbl 1344.15017
Forrester, Peter J.; Grela, Jacek
4
2016
Singular values and evenness symmetry in random matrix theory. Zbl 1347.15042
Bornemann, Folkmar; Forrester, Peter J.
4
2016
Raney distributions and random matrix theory. Zbl 1352.60024
Forrester, Peter J.; Liu, Dang-Zheng
26
2015
Asymptotics of finite system Lyapunov exponents for some random matrix ensembles. Zbl 1323.15021
Forrester, Peter J.
9
2015
Painlevé II in random matrix theory and related fields. Zbl 1318.81048
Forrester, Peter J.; Witte, Nicholas S.
9
2015
Equilibrium problems for Raney densities. Zbl 1319.05011
Forrester, Peter J.; Liu, Dang-Zheng; Zinn-Justin, Paul
8
2015
Finite-size corrections in random matrix theory and Odlyzko’s dataset for the Riemann zeros. Zbl 1371.11130
Forrester, Peter J.; Mays, Anthony
7
2015
Exact and asymptotic features of the edge density profile for the one component plasma in two dimensions. Zbl 1327.82081
Can, T.; Forrester, P. J.; Téllez, G.; Wiegmann, P.
6
2015
Diffusion processes and the asymptotic bulk gap probability for the real Ginibre ensemble. Zbl 1335.82011
Forrester, Peter J.
6
2015
Loop equation analysis of the circular \(\beta\) ensembles. Zbl 1388.81450
Witte, N. S.; Forrester, P. J.
5
2015
The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations. Zbl 1302.33006
Ito, Masahiko; Forrester, Peter J.
2
2015
Eigenvalue statistics for product complex Wishart matrices. Zbl 1309.15053
Forrester, Peter J.
27
2014
Moments of the Gaussian {\(\beta\)} ensembles and the large-\(N\) expansion of the densities. Zbl 1301.82023
Witte, N. S.; Forrester, P. J.
17
2014
Probability of all eigenvalues real for products of standard Gaussian matrices. Zbl 1290.15024
Forrester, Peter J.
13
2014
Asymptotics of spacing distributions 50 years later. Zbl 1360.60017
Forrester, Peter J.
8
2014
The Golden-Thompson inequality: historical aspects and random matrix applications. Zbl 1308.15018
Forrester, Peter J.; Thompson, Colin J.
5
2014
Local central limit theorem for determinantal point processes. Zbl 1307.60013
Forrester, Peter J.; Lebowitz, Joel L.
3
2014
Ramanujan’s \(_{1}\psi_{1}\) summation theorem – perspective, announcement of bilateral \(q\)-Dixon-Anderson and \(q\)-Selberg integral extensions, and context –. Zbl 1308.33015
Ito, Masahiko; Forrester, Peter J.
2
2014
Reunion probability of \(N\) vicious walkers: typical and large fluctuations for large \(N\). Zbl 1308.82037
Schehr, Grégory; Majumdar, Satya N.; Comtet, Alain; Forrester, Peter J.
17
2013
Lyapunov exponents for products of complex Gaussian random matrices. Zbl 1272.82020
Forrester, Peter J.
12
2013
Probability densities and distributions for spiked and general variance Wishart \(\beta\)-ensembles. Zbl 1281.15042
Forrester, Peter J.
11
2013
Joint distribution of the first and second eigenvalues at the soft edge of unitary ensembles. Zbl 1283.15114
Witte, N. S.; Bornemann, F.; Forrester, P. J.
10
2013
The averaged characteristic polynomial for the Gaussian and chiral Gaussian ensembles with a source. Zbl 1279.15029
Forrester, Peter J.
7
2013
Skew orthogonal polynomials for the real and quaternion real Ginibre ensembles and generalizations. Zbl 1279.15028
Forrester, Peter J.
5
2013
Asymptotics of spacing distributions at the hard edge for \(\beta\)-ensembles. Zbl 1280.15019
Forrester, Peter J.
1
2013
Spectral density asymptotics for Gaussian and Laguerre \(\beta \)-ensembles in the exponentially small region. Zbl 1237.15032
Forrester, Peter J.
12
2012
Pfaffian point process for the Gaussian real generalised eigenvalue problem. Zbl 1262.60008
Forrester, Peter J.; Mays, Anthony
12
2012
Expanded Vandermonde powers and sum rules for the two-dimensional one-component plasma. Zbl 1259.82113
Téllez, Gabriel; Forrester, Peter J.
8
2012
A Fuchsian matrix differential equation for Selberg correlation integrals. Zbl 1245.82030
Forrester, Peter J.; Rains, Eric M.
6
2012
Large deviation eigenvalue density for the soft edge Laguerre and Jacobi \(\beta \)-ensembles. Zbl 1241.82007
Forrester, Peter J.
5
2012
Asymptotic forms for hard and soft edge general \(\beta \) conditional gap probabilities. Zbl 1246.82037
Forrester, Peter J.; Witte, Nicholas S.
4
2012
Fredholm determinant evaluations of the Ising model diagonal correlations and their \(\lambda \) generalization. Zbl 1250.82010
Witte, N. S.; Forrester, P. J.
3
2012
On the variance of the index for the Gaussian unitary ensemble. Zbl 1268.15034
Witte, N. S.; Forrester, P. J.
3
2012
A finitization of the bead process. Zbl 1247.60076
Fleming, Benjamin J.; Forrester, Peter J.; Nordenstam, Eric
1
2012
Non-intersecting Brownian walkers and Yang-Mills theory on the sphere. Zbl 1207.82022
Forrester, Peter J.; Majumdar, Satya N.; Schehr, Grégory
40
2011
Connection preserving deformations and \(q\)-semi-classical orthogonal polynomials. Zbl 1229.33030
Ormerod, Christopher M.; Witte, N. S.; Forrester, Peter J.
6
2011
Jack polynomial fractional quantum Hall states and their generalizations. Zbl 1207.81203
Baratta, Wendy; Forrester, Peter J.
6
2011
Interlaced particle systems and tilings of the Aztec diamond. Zbl 1210.82020
Fleming, Benjamin J.; Forrester, Peter J.
5
2011
Beta ensembles. Zbl 1236.15067
Forrester, Peter J.
4
2011
Rank probabilities for real random \(N\times N \times 2\) tensors. Zbl 1245.15036
Bergqvist, Göran; Forrester, Peter J.
2
2011
A generalized plasma and interpolation between classical random matrix ensembles. Zbl 1227.82071
Forrester, Peter J.; Sinclair, Christopher D.
1
2011
Log-gases and random matrices. Zbl 1217.82003
Forrester, Peter J.
475
2010
Differential equations for deformed Laguerre polynomials. Zbl 1200.34112
Forrester, Peter J.; Ormerod, Christopher M.
10
2010
Difference system for Selberg correlation integrals. Zbl 1188.81190
Forrester, Peter J.; Ito, Masahiko
5
2010
Tridiagonal realization of the antisymmetric Gaussian \(\beta\)-ensemble. Zbl 1309.81071
Dumitriu, Ioana; Forrester, Peter J.
5
2010
Edge effects in some perturbations of the Gaussian unitary ensemble. Zbl 1314.82028
Bassler, K. E.; Forrester, P. J.; Frankel, N. E.
4
2010
The anti-symmetric GUE minor process. Zbl 1191.15032
Forrester, Peter J.; Nordenstam, Eric
17
2009
A method to calculate correlation functions for \(\beta =1\) random matrices of odd size. Zbl 1172.82010
Forrester, Peter J.; Mays, Anthony
13
2009
A random matrix decimation procedure relating \(\beta = 2/( r + 1)\) to \(\beta = 2( r + 1)\). Zbl 1173.15011
Forrester, Peter J.
9
2009
Matrix averages relating to Ginibre ensembles. Zbl 1196.15035
Forrester, Peter J.; Rains, Eric M.
7
2009
Derivation of an eigenvalue probability density function relating to the Poincaré disk. Zbl 1187.15037
Forrester, Peter J.; Krishnapur, Manjunath
6
2009
Eigenvalue separation in some random matrix models. Zbl 1202.82045
Bassler, K. E.; Forrester, P. J.; Frankel, N. E.
5
2009
Beta random matrix ensembles. Zbl 1182.15020
Forrester, Peter J.
2
2009
The importance of the Selberg integral. Zbl 1154.33002
Forrester, Peter J.; Warnaar, S. Ole
122
2008
A note on biorthogonal ensembles. Zbl 1149.42014
Desrosiers, Patrick; Forrester, Peter J.
29
2008
Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble. Zbl 1185.15032
Forrester, Peter J.; Nagao, Taro
16
2008
On the gap probability generating function at the spectrum edge in the case of orthogonal symmetry. Zbl 1152.15307
Forrester, P. J.
1
2008
The distribution of the first eigenvalue spacing at the hard edge of the Laguerre unitary ensemble. Zbl 1145.15014
Forrester, Peter J.; Witte, Nicholas S.
15
2007
Random discrete Schrödinger operators from random matrix theory. Zbl 1108.81018
Breuer, Jonathan; Forrester, Peter J.; Smilansky, Uzy
6
2007
Symmetrized models of last passage percolation and non-intersecting lattice paths. Zbl 1136.82022
Forrester, Peter J.; Rains, Eric M.
6
2007
Eigenvalue distributions for some correlated complex sample covariance matrices. Zbl 1126.15028
Forrester, P. J.
5
2007
Hermite and Laguerre \(\beta\)-ensembles: asymptotic corrections to the eigenvalue density. Zbl 1214.82051
Desrosiers, Patrick; Forrester, Peter J.
21
2006
Quantum conductance problems and the Jacobi ensemble. Zbl 1092.81069
Forrester, P. J.
18
2006
Asymptotic correlations for Gaussian and Wishart matrices with external source. Zbl 1104.62076
Desrosiers, Patrick; Forrester, Peter J.
14
2006
...and 102 more Documents
all top 5

Cited by 1,468 Authors

113 Forrester, Peter J.
33 Borodin, Alexei
24 Katori, Makoto
22 Akemann, Gernot
22 Warnaar, S. Ole
19 Fyodorov, Yan V.
17 Witte, Nicholas S.
16 Gorin, Vadim
16 Strahov, Eugene
15 Clarkson, Peter A.
15 Mezzadri, Francesco
15 Schehr, Grégory
14 Majumdar, Satya N.
14 Pearce, Paul A.
14 Zhang, Lun
13 Edelman, Alan Stuart
13 Tierz, Miguel
12 Kuijlaars, Arno B. J.
12 Mathieu, Pierre
12 Sasamoto, Tomohiro
12 Serfaty, Sylvia
12 Voit, Michael
12 Xu, Shuaixia
11 Bogolyubov, Nikolaĭ Mikhaĭlovich
11 Chafaï, Djalil
11 Chen, Yang
11 Corwin, Ivan Z.
11 Kieburg, Mario
11 Liu, Dangzheng
11 Rains, Eric M.
11 Rider, Brian C.
10 Cunden, Fabio Deelan
10 Deift, Percy A.
10 Desrosiers, Patrick
10 Dunkl, Charles F.
10 Ferrari, Patrik Lino
10 Ol’shanskiĭ, Grigoriĭ Iosifovich
10 Rösler, Margit
9 Baik, Jinho
9 Charlier, Christophe
9 Claeys, Tom
9 Ipsen, Jesper R.
9 Its, Alexander Rudolfovich
9 Jiang, Tiefeng
9 Jimbo, Michio
9 Lubinsky, Doron S.
9 Miwa, Tetsuji
9 O’Connell, Neil
9 Sinclair, Christopher D.
8 Andrews, George Eyre
8 Berkovich, Alexander
8 Dumitriu, Ioana
8 Keating, Jonathan Peter
8 Le Doussal, Pierre
8 Okado, Masato
8 Ostrovskii, Dmitrii M.
8 Snaith, Nina Claire
8 Tanemura, Hideki
8 van Diejen, Jan Felipe
8 Virág, Bálint
8 Wang, Dong
7 Adler, Mark
7 Ameur, Yacin
7 Assiotis, Theodoros
7 Dai, Dan
7 Johansson, Kurt
7 Kanzieper, Eugene
7 Kösters, Holger
7 Kuniba, Atsuo
7 Li, Shihao
7 Mejjaoli, Hatem
7 Nagao, Taro
7 Osada, Hirofumi
7 Petrov, Leonid
7 Remenik, Daniel
7 Rouault, Alain
7 Soshnikov, Alexander B.
7 Téllez, Gabriel
7 Tracy, Craig Arnold
7 Vivo, Pierpaolo
7 Vu, Van H.
6 Baxter, Rodney J.
6 Blower, Gordon
6 Chang, Xiangke
6 Conrey, John Brian
6 Deaño, Alfredo
6 Frankel, Norman Edward
6 Imamura, Takashi
6 Ito, Masahiko
6 Jancovici, Bernard
6 Koev, Plamen
6 Leblé, Thomas
6 Lee, Ji Oon
6 Mays, Anthony
6 McCoy, Barry M.
6 Neuschel, Thorsten
6 Quastel, Jeremy
6 Saleur, Hubert
6 van Moerbeke, Pierre
6 Verbaarschot, Jacobus J. M.
...and 1,368 more Authors
all top 5

Cited in 229 Serials

162 Journal of Statistical Physics
132 Communications in Mathematical Physics
112 Journal of Mathematical Physics
66 Nuclear Physics. B
59 Random Matrices: Theory and Applications
40 Probability Theory and Related Fields
33 Advances in Mathematics
33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
32 Journal of Statistical Mechanics: Theory and Experiment
27 The Annals of Probability
27 Journal of High Energy Physics
25 Letters in Mathematical Physics
25 Journal of Approximation Theory
25 Journal of Physics A: Mathematical and Theoretical
24 Constructive Approximation
18 Duke Mathematical Journal
18 Journal of Combinatorial Theory. Series A
18 Journal of Functional Analysis
17 Journal of Theoretical Probability
15 Annales Henri Poincaré
14 Journal of Mathematical Analysis and Applications
14 Transactions of the American Mathematical Society
14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Nonlinearity
13 Journal of Mathematical Sciences (New York)
12 Journal of Multivariate Analysis
12 Proceedings of the American Mathematical Society
12 Studies in Applied Mathematics
12 The Annals of Applied Probability
12 Electronic Journal of Probability
11 Communications on Pure and Applied Mathematics
10 Stochastic Processes and their Applications
9 Theoretical and Mathematical Physics
9 European Journal of Combinatorics
9 Advances in Applied Mathematics
9 Statistics & Probability Letters
9 Physica D
8 Journal of Computational and Applied Mathematics
8 Linear Algebra and its Applications
8 The Ramanujan Journal
8 Physical Review Letters
7 International Journal of Modern Physics A
7 Discrete Mathematics
7 Annals of Physics
7 Integral Transforms and Special Functions
6 Journal of Geometry and Physics
6 Inventiones Mathematicae
6 Geometric and Functional Analysis. GAFA
6 Bulletin of the American Mathematical Society. New Series
6 Journal of Algebraic Combinatorics
6 The Electronic Journal of Combinatorics
6 Annals of Combinatorics
5 Reviews in Mathematical Physics
5 Forum Mathematicum
5 Selecta Mathematica. New Series
4 International Journal of Modern Physics B
4 Applicable Analysis
4 Israel Journal of Mathematics
4 Mathematical Methods in the Applied Sciences
4 Physics Letters. B
4 Annales de l’Institut Fourier
4 The Annals of Statistics
4 Journal of Algebra
4 Journal of Statistical Planning and Inference
4 Memoirs of the American Mathematical Society
4 Journal of the American Mathematical Society
4 SIAM Journal on Mathematical Analysis
4 St. Petersburg Mathematical Journal
4 Bernoulli
4 Communications in Contemporary Mathematics
3 Indian Journal of Pure & Applied Mathematics
3 International Journal of Theoretical Physics
3 Physica A
3 Compositio Mathematica
3 Functional Analysis and its Applications
3 Journal of Number Theory
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Proceedings of the London Mathematical Society. Third Series
3 Experimental Mathematics
3 Transformation Groups
3 New Journal of Physics
3 Acta Mathematica Sinica. English Series
3 Communications in Nonlinear Science and Numerical Simulation
3 Foundations of Computational Mathematics
3 Quantum Information Processing
3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
2 Modern Physics Letters A
2 General Relativity and Gravitation
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Physics Reports
2 Mathematics of Computation
2 Chaos, Solitons and Fractals
2 Acta Mathematica
2 American Journal of Mathematics
2 Journal of Differential Equations
2 Journal of the Mathematical Society of Japan
2 Journal of Soviet Mathematics
...and 129 more Serials
all top 5

Cited in 59 Fields

644 Probability theory and stochastic processes (60-XX)
504 Statistical mechanics, structure of matter (82-XX)
499 Linear and multilinear algebra; matrix theory (15-XX)
335 Special functions (33-XX)
301 Quantum theory (81-XX)
191 Combinatorics (05-XX)
106 Ordinary differential equations (34-XX)
101 Number theory (11-XX)
98 Partial differential equations (35-XX)
90 Statistics (62-XX)
80 Nonassociative rings and algebras (17-XX)
80 Dynamical systems and ergodic theory (37-XX)
73 Harmonic analysis on Euclidean spaces (42-XX)
53 Operator theory (47-XX)
48 Functions of a complex variable (30-XX)
39 Functional analysis (46-XX)
39 Numerical analysis (65-XX)
32 Group theory and generalizations (20-XX)
30 Difference and functional equations (39-XX)
30 Approximations and expansions (41-XX)
26 Algebraic geometry (14-XX)
22 Topological groups, Lie groups (22-XX)
21 Associative rings and algebras (16-XX)
20 Abstract harmonic analysis (43-XX)
20 Relativity and gravitational theory (83-XX)
18 Real functions (26-XX)
17 Integral transforms, operational calculus (44-XX)
16 Differential geometry (53-XX)
14 Global analysis, analysis on manifolds (58-XX)
14 Mechanics of particles and systems (70-XX)
14 Fluid mechanics (76-XX)
12 Several complex variables and analytic spaces (32-XX)
11 Computer science (68-XX)
9 Measure and integration (28-XX)
9 Integral equations (45-XX)
9 Convex and discrete geometry (52-XX)
8 Potential theory (31-XX)
8 Optics, electromagnetic theory (78-XX)
8 Biology and other natural sciences (92-XX)
8 Information and communication theory, circuits (94-XX)
7 History and biography (01-XX)
7 Manifolds and cell complexes (57-XX)
5 Commutative algebra (13-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Operations research, mathematical programming (90-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Algebraic topology (55-XX)
3 Mechanics of deformable solids (74-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Systems theory; control (93-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Sequences, series, summability (40-XX)
2 General topology (54-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Geometry (51-XX)

Citations by Year