Forrester, P. J.
- Application of the τ-function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE
2002/01/24 by P. J. Forrester, Peter J. Forrester, N. S. Witte +2 · 5 citations
Computer Science · Mathematics · Physics and Astronomy · #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #Random Matrices and Applications #math-ph #math.MP #msc:15A52 #msc:20F55 #msc:34M55 #msc:60K35 #nlin.SI
- Application of the τ-function theory of Painlevé equations to random matrices: \PVI, the JUE, CyUE, cJUE and scaled limits
2002/04/04 by Peter J. Forrester, N. S. Witte, Forrester, P. J. +1 · 3 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #15A52 #33E17 #58F07 #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Theoretical and Computational Physics
- Real eigenvalue statistics for products of asymmetric real Gaussian matrices
2016/08/14 by Forrester, P. J., Ipsen, J. R. · 3 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Non-Symmetric Jack Polynomials and Integral Kernels
1996/12/01 by T. H. Baker, Peter J. Forrester, Baker, T. H. +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
- Multivariable Al-Salam & Carlitz polynomials associated with the type A q-Dunkl kernel
1997/06/05 by Baker, T. H., Forrester, P. J. · 2 citations
#FOS: Mathematics #Quantum Algebra (math.QA)
- Fluctuation formula for complex random matrices
1998/05/24 by Peter J. Forrester, P. J. Forrester, Forrester, P. J. · 2 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #cond-mat.stat-mech
- Inter-relationships between orthogonal, unitary and symplectic matrix ensembles
1999/07/07 by P. J. Forrester, E. M. Rains, Forrester, P. J. +1 · 2 citations
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int
- Exact Wigner surmise type evaluation of the spacing distribution in the bulk of the scaled random matrix ensembles
2000/09/14 by P. J. Forrester, N. S. Witte, Forrester, P. J. +1 · 2 citations
Mathematics · Physics and Astronomy · #15A52 #33C45 #34A05 #34A34 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:15A52 #msc:33C45 #msc:34A05 #msc:34A34 #nlin.SI
- How many eigenvalues of a product of truncated orthogonal matrices are real?
2017/08/03 by Forrester, P. J., Ipsen, J. R., Kumar, S. · 2 citations
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
- Symmetric Jack polynomials from non-symmetric theory
1997/07/01 by Baker, T. H., Forrester, P. J. · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA)
- Painlevé transcendent evaluation of the scaled distribution of the smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles
2000/05/30 by P. J. Forrester, Forrester, P. J. · 1 citation
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI
- Transformation formulae for multivariable basic hypergeometric series
1998/03/30 by T. H. Baker, Peter J. Forrester, P. J. Forrester +2 · 1 citation
Mathematics · #Advanced Algebra and Geometry #math.CA #math.QA
- Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
2006/05/06 by Peter J. Forrester, Forrester, P. J. · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications
- Singular Values of Products of Ginibre Random Matrices
2016/05/02 by N. S. Witte, Witte, N. S., Peter J. Forrester +1 · 1 citation
Mathematics · Physics and Astronomy · #15B52 #33E17 #34E05 #34M56 #60K35 #62E15 #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Random Matrices and Applications