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PROF PETER FORRESTER



Contact Details

Organization: Mathematics and Statistics
Position: PROFESSOR
Email:
Homepage: http://www.ms.unimelb.edu.au/Personnel/profile.php?PC_id=32
Work: 8344 9683
Fax: 8344 4599
Room: 196
Level: 01
Building: Richard Berry Building
Campus: Parkville

Research Expertise and International Linkages

Research Expertise

Research Interest Country of Expertise
Mathematical Physics Australia

Qualifications, Honours, Fellowships and Other Awards

Qualifications

Title Institution Date Awarded Abbreviation
Doctor of Philosophy The Australian National University 15-May-1986

Memberships

Membership Type Membership Body Description Start Date End Date
Member Australian Mathematical Society Fellow 01-Jun-1993

Fellowships

Fellowship Date Awarded
Fellow of the Australian Academy of Science (FAA) 25-Mar-2004

Other Awards

Award Type Awarding Body Comments Date Awarded
Medal Australian Mathematical Society 01-Jul-1993
Prize The University of Melbourne 01-Dec-1981
Prize Australian National University 15-Sep-1986

Government Research Classifications

Research Fields, Courses and Discipline Classifications

Socio-Economic Objective Classifications

Grants and Contracts

Research Grants, Contracts and Consultancies awarded to the University of Melbourne as the administering institution (since 2003) as recorded in Themis Agreements.

Grants

Title Role Funding Source Scheme Award Date
Mathematical studies on the statistical properties of complex systems Chief Investigator AUST RESEARCH COUNCIL Discovery Projects 01/01/2003
Theory and Applications of Hypergeometric Series Chief Investigator AUST RESEARCH COUNCIL Discovery Projects 01/01/2006
Integrable structures in models of complex systems Chief Investigator AUST RESEARCH COUNCIL Discovery Projects 01/01/2008
The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes Chief Investigator AUST RESEARCH COUNCIL Discovery Projects 01/01/2009
Random matrix theory and high dimensional inference Chief Investigator AUST RESEARCH COUNCIL ARC International Fellowships 01/01/2009

Publications

Publications produced at the University of Melbourne and reported in the Annual Publications Collection and 'Research Report' since 2001. The Themis Publications module, released in November 2006, allows additional publications from previous institutions and publications from past years to be entered.

Publications in 2009

Journal Articles

Publications in 2008

Journal Articles

  • A note on biorthogonal ensembles
    Year: 2008
    Journal: Journal of Approximation Theory
    Volume: 152
    Issue: 2
    Page numbers: 167-187
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  • Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
    Year: 2008
    Journal: Journal of Physics A - Mathematical and Theoretical
    Volume: 41
    Issue: 37
    Page numbers: 375003
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  • The importance of the Selberg integral
    Year: 2008
    Journal: American Mathematical Society. Bulletin. New Series
    Volume: 45
    Issue: 4
    Page numbers: 489-534
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Conference Publications/Papers

  • On the gap probability generating functions at the spectrum edge in the case of orthogonal symmetry
    Year: 2008
    Event name: Integrable systems, random matrices and applications
    Conference Publication: Contemporary Mathematics
    Volume: 458
    Page numbers: 291-302
    Publisher: American Mathematical Society(Rhode Island)
    Author(s):

Publications in 2007

Journal Articles

Publications in 2006

Journal Articles

Publications in 2005

Book Chapters

  • Spacing Distributions in Random Matrix Ensembles
    Year: 2005
    Book: Recent Perspectives in Random Matrix Theory and Number Theory
    Publisher: Cambridge University Press(Cambridge)
    Authors(s):

Journal Articles

  • Asymptotic corrections to the eigenvalue density of the GUE and LUE
    Year: 2005
    Journal: Journal of Mathematical Physics
    Volume: 46
    Page numbers: 1033011-10330117
    Author(s):
    URL - open access http://au.arxiv.org/abs/math-ph/0504053
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  • Averages of Ratios of Characteristic Polynomials for the Compact Classical Groups
    Year: 2005
    Journal: International Mathematics Research Notices
    Volume: 2005
    Issue: 7
    Page numbers: 397-431
    Publisher: Hindawi Publishing Corp
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  • Discrete Painlevé equations for a class of PVI τ-functions given as U(N) averages
    Year: 2005
    Journal: Nonlinearity
    Volume: 18
    Issue: 5
    Page numbers: 2061-2088
    Publisher: Institute of Physics Publishing(Bristol)
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  • Interpretations of some parameter dependent generalizations of classical matrix ensembles
    Year: 2005
    Journal: Probability Theory and Related Fields
    Volume: 131
    Issue: 1
    Page numbers: 1-61
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Major Reference Works

  • Encyclopedia of nonlinear science:Random matrix theoiry II: algebraic developments
    Year: 2005
    Reference Work Title: Encyclopedia of nonlinear science
    Publisher: Routledge(New York)
    Author(s):

Publications in 2004

Journal Articles

  • Application of the t-Function Theory of Painleve Equations to Random Matrices: PVI The JUE, CyUE, cJUE and Scaled Limits
    Year: 2004
    Journal: Nagoya Mathematical Journal
    Volume: 174
    Page numbers: 29-114
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  • Applications and generalizations of Fisher-Hartwig asymptotics
    Year: 2004
    Journal: Journal of Mathematical Physics
    Volume: 45
    Issue: 5
    Page numbers: 2003-2028
    Author(s):
    URL - open access http://au.arxiv.org/abs/math-ph/0401011
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  • Correlations for superpositions and decimations of Laguerre and Jacobi orthogonal matrix ensembles with a parameter
    Year: 2004
    Journal: Probability Theory and Related Fields
    Volume: 130
    Issue: 4
    Page numbers: 518-576
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  • Discrete Painlevé Equations, Orthogonal Polynomials on the Unit Circle, and N-Recurrences for Averages over U(N)-PIII' and PV τ-Functions
    Year: 2004
    Journal: International Mathematics Research Notices
    Volume: 2004
    Issue: 4
    Page numbers: 159-183
    Publisher: Hindawi Publishing Corp
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  • Pieri-type formulas for the non-symmetric Jack polynomials
    Year: 2004
    Journal: Commentarii Mathematici Helvetici
    Volume: 79
    Issue: 1
    Page numbers: 1-24
    Publisher: Birkhauser(Basel)
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  • Singularity dominated strong fluctuations for some random matrix averages
    Year: 2004
    Journal: Communications in Mathematical Physics
    Volume: 250
    Issue: 1
    Page numbers: 119-131
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  • Statistical properties of the primes and the Riemann zeros
    Year: 2004
    Journal: Australian Mathematical Society Gazette
    Volume: 31
    Issue: 3
    Page numbers: 165-169
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Publications in 2003

Journal Articles

  • Developments in random matrix theory
    Year: 2003
    Journal: Journal of Physics A - Mathematical and General
    Volume: 36
    Page numbers: R1-R10
    Publisher: Institute of Physics Publishing(Bristol)
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  • Discrete Painlevé equations and random matrix averages
    Year: 2003
    Journal: Nonlinearity
    Volume: 16
    Issue: 6
    Page numbers: 1919-1944
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  • Dynamical correlations for circular ensembles of random matrices
    Year: 2003
    Journal: Nuclear Physics, Section B
    Volume: 660
    Page numbers: 557-578
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  • Finite one-dimensional impenetrable Bose systems: Occupation numbers
    Year: 2003
    Journal: Physical Review A
    Volume: 67
    Page numbers: 436071-4360717
    Author(s):
    URL - open access http://au.arxiv.org/abs/cond-mat/0211126
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  • Growth models, random matrices and Painlevé transcendents
    Year: 2003
    Journal: Nonlinearity
    Volume: 16
    Page numbers: R27-R49
    Publisher: Institute of Physics Publishing(Bristol)
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  • Increasing subsequences and the hard-to-soft edge transition in matrix ensembles
    Year: 2003
    Journal: Journal of Physics A - Mathematical and General
    Volume: 36
    Page numbers: 2963-2981
    Publisher: Institute of Physics Publishing(Bristol)
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  • Painleve transcendent evaluations of finite system density matrices for 1d impenetrable bosons
    Year: 2003
    Journal: Communications in Mathematical Physics
    Volume: 238
    Page numbers: 257-285
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  • Random matrix averages and the impenetrable Bose gas in Dirichlet and Neumann boundary conditions
    Year: 2003
    Journal: Journal of Mathematical Physics
    Volume: 44
    Issue: 9
    Page numbers: 4157-4175
    Author(s):
    URL - open access http://au.arxiv.org/abs/math-ph/0301042
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Publications in 2002

Journal Articles

  • Application of the τ-function theory of painlevé equations to random matrices: PV, PIII, the LUE, JUE, and CUE.
    Year: 2002
    Journal: Communications on Pure and Applied Mathematics
    Volume: LV
    Page numbers: 0679-0727
    Publisher: John Wiley & Sons(Philadelphia)
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  • T-function evaluation of gap probabilities in orthogonal and symplectic matrix ensembles
    Year: 2002
    Journal: Nonlinearity
    Volume: 15
    Page numbers: 937-954
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  • Vicious random walkers and a discretization of Gaussian random matrix ensembles
    Year: 2002
    Journal: Nuclear Physics, Section B
    Volume: 620 [FS]
    Page numbers: 551-565
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Conference Publications/Papers

  • Integrability, random matrices and Painlevé transcendents
    Year: 2002
    Event name: Kruskal 2000 Conference on Integrable Systems
    Conference Publication: The ANZIAM Journal
    Volume: 44
    Issue: 1
    Page numbers: 41-50
    Publisher: Australian Mathematical Society
    Author(s):

Publications in 2001

Book Chapters

  • Interrelationships between orthogonal, unitary and symplectic matrix ensembles
    Year: 2001
    Book: Random matrix models and their applications
    Publisher: Cambridge University Press(Cambridge)
    Authors(s):

Journal Articles

  • Analytic properties of the structure function for the one-dimensional one-component log-gas
    Year: 2001
    Journal: Journal of Statistical Physics
    Volume: 102
    Issue: 3/4
    Page numbers: 737-780
    Publisher: Kluwer Academic/Plenum Publishers(New York)
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  • Application of the tau-function theory of Painleve equations to random matrices: PIV, PII and the GUE
    Year: 2001
    Journal: Communications in Mathematical Physics
    Volume: 219
    Issue: 3/4
    Page numbers: 357-398
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  • Correlations for the Cauchy and generalised circular ensembles with orthagonal and symplectic symmetry
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: 7917-7932
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  • On the evaluation formula for Jack polynomials with prescribed symmetry
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: 8407-8424
    Publisher: Institute of Physics Publishing(Bristol)
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  • Random walks and random fixed point free involutions
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: L381-L390
    Publisher: Institute of Physics Publishing(Bristol)
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  • Random walks and random permutations
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: L417-L423
    Publisher: Institute of Physics Publishing(Bristol)
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