Peter J. Forrester

1. Application of the τ-function theory of Painlevé equations to random matrices: \PV, \PIII, the LUE, JUE and CUE
   2002/01/24 by Peter J. Forrester, P. 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
2. 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, Forrester, P. J., N. S. Witte +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
3. 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)
4. Asymptotic forms for hard and soft edge general β conditional gap probabilities
   2012/06/01 by Peter J. Forrester, Nicholas S. Witte · 2 citations
5. Interpretations of some parameter dependent generalizations of classical matrix ensembles
   2002/11/19 by Peter J. Forrester, Forrester, Peter J., Eric M. Rains +1 · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.MP
6. Transformation formulae for multivariable basic hypergeometric series
   1998/03/30 by T. H. Baker, Baker, T. H., Peter J. Forrester +2 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #math.CA #math.QA
7. Global and local scaling limits for the β= 2 Stieltjes--Wigert random matrix ensemble
   2020/11/23 by Peter J. Forrester, Forrester, Peter J. · 2 citations
   Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics
8. The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices
   2017/05/19 by Peter J. Forrester, Santosh Kumar · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Markov Chains and Monte Carlo Methods #Random Matrices and Applications
9. Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions
   2019/02/25 by Peter J. Forrester, Shi‐Hao Li, Forrester, Peter J +1 · 1 citation
   Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications
10. Applications in random matrix theory of a PIII' τ-function sequence from Okamoto's Hamiltonian formulation
    2019/09/17 by Dan Dai, Dai, Dan, Peter J. Forrester +3 · 1 citation
    Chemistry · Mathematics · Physics and Astronomy · #15B05 #15B52 #33E17 #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #Random Matrices and Applications
11. Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges
    2025/01/09 by Sung‐Soo Byun, Peter J. Forrester, Byun, Sung-Soo +2 · 6 citations
    Engineering · Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Phase Equilibria and Thermodynamics #Probability (math.PR) #Spacecraft and Cryogenic Technologies
12. Local central limit theorem for real eigenvalue fluctuations of elliptic GinOE matrices
    2023/05/16 by Peter J. Forrester, Forrester, Peter J. · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
13. q-deformed Gaussian unitary ensemble: spectral moments and genus-type expansions
    2024/04/04 by Sung‐Soo Byun, Peter J. Forrester, Byun, Sung-Soo +3 · 2 citations
    Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Probability (math.PR) #Random Matrices and Applications
14. Moments of characteristic polynomials for classical β ensembles
    2025/02/11 by Bo-Jian Shen, Shen, Bo-Jian, Peter J. Forrester +1 · 2 citations
    Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications
15. Differential equations for deformed Laguerre polynomials
    2009/08/04 by Peter J. Forrester, Christopher M. Ormerod · 1 citation
    Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Fractional Differential Equations Solutions