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Find an ExpertProfiling the University of Melbourne's Researchers

PROF ANTHONY GUTTMANN



Contact Details

Organization: Mathematics and Statistics
Position: PROFESSOR
Email:
Homepage: www.ms.unimelb.edu.au/~tonyg
Work: 8344 1618
Fax: 9347 8165
Room: 102
Level: 01
Building: 139 Barry St. Carlton
Campus: Parkville

Research Expertise and International Linkages

Research Expertise

Research Interest Key Words Country of Expertise
Statistical Mechanics and Algebraic Combinatorics Complex Systems, Critical Phenomena Australia

International Linkages

Country Establishment Collaboration
Italy University of Rome, La Sapienza Research
United States New York University Research
Canada University of Toronto Research
Canada University of British Columbia Research
France Universite Bordeaux I Research
France Universite Paris Research
United Kingdom Oxon Research

Qualifications, Honours, Fellowships and Other Awards

Qualifications

Title Institution Date Awarded Abbreviation
Master of Science University of Melbourne 31-Dec-1967
Doctor of Philosophy University of New South Wales 31-Dec-1969

Memberships

Membership Type Membership Body Description Start Date End Date
Member Aust. Math. Soc Fellow 12-Oct-1971
Member American Math. Soc. Member 31-Dec-2003
Member ANZIAM Member 31-Dec-1994
Member SIAM Member 31-Dec-1995

Fellowships

Fellowship Date Awarded
Fellow of the Australian Academy of Science (FAA) 31-Dec-2002
Fellow of the Australian Academy of Technological Sciences and Engineering (FTSE) 30-Jun-2006

Other Awards

Award Type Awarding Body Comments Date Awarded
Medal AAS (Hannan) 31-Dec-1999
Medal AAS (Lyle) 31-Dec-2005
Other (Award) Aust. Maths. Trust (BH Neumann) 13-Aug-2004

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
ARC centre of excellence for mathematical and statistical modelling of complex systems Chief Investigator AUST RESEARCH COUNCIL Centres of Excellence 01/01/2003
Conformal invariance & stationary states Chief Investigator AUST RESEARCH COUNCIL Linkage International Awards 01/01/2003
EXACT DYNAMICS OF THE ASYMMETRIC EXCLUSION PROCESS WITH BOUNDARIES Chief Investigator AUST RESEARCH COUNCIL Linkage International Awards 01/01/2006
Theory and Applications of Hypergeometric Series Chief Investigator AUST RESEARCH COUNCIL Discovery Projects 01/01/2006

Contracts

Title Role Funding Source Award Date
ANALYSIS OF TRAFFIC FLOW IN URBAN ROAD NETWORKS Chief Investigator VIC ROADS 22/10/2008
DEVELOPMENT OF A STATISTICAL FRAMEWORK FOR TRAFFIC MICRO-SIMULATIONS Chief Investigator ROADS AND TRAFFIC AUTHORITY NSW 01/06/2009

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

  • Prudent walks and polygons
    Year: 2009
    Journal: Journal of Physics A - Mathematical and Theoretical
    Volume: 42
    Issue: 9
    Page numbers: 095205
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Publications in 2008

Journal Articles

  • Prudent Self-Avoiding Walks


    Year: 2008
    Journal: Entropy: international and interdisciplinary journal of entropy and information studies
    Volume: 10
    Issue: 3
    Page numbers: 309-318
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  • Area distribution and scaling function for punctured polygons
    Year: 2008
    Journal: Electronic Journal of Combinatorics
    Volume: 15
    Issue: 1
    Page numbers: R53
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  • Exact generating function for 2-convex polygons
    Year: 2008
    Journal: Journal of Physics A - Mathematical and Theoretical
    Volume: 41
    Page numbers: 055001 (26pp)
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  • Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
    Year: 2008
    Journal: Journal of Physics A - Mathematical and Theoretical
    Volume: 41
    Issue: 45
    Page numbers: 455202 (51pp)
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  • Trading indicators with information-gap uncertainty
    Year: 2008
    Journal: Journal of Risk Finance
    Volume: 9
    Issue: 5
    Page numbers: 467-476
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Conference Publications/Papers

  • Modeling force-induced bio-polymer unfolding
    Year: 2008
    Event name: Lattices and Trajectories: A Symposium of Mathematical Chemistry in honour of Ray Kapral and Stu Whittington
    Conference Publication: Journal of Mathematical Chemistry
    Volume: 45
    Issue: 1
    Page numbers: 223-237
    Publisher: Springer Verlag(New York)
    Author(s):

Publications in 2007

Journal Articles

  • Role of conformational entropy in force-induced bio-polymer unfolding
    Year: 2007
    Journal: Physical Review Letters
    Volume: 98
    Issue: 12
    Page numbers: 128101
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Publications in 2006

Book Chapters

  • Exact solution of two planar polygon models
    Year: 2006
    Book: Nankai Tracts in Mathematics, vol. 10
    Publisher: World Scientific Publishing Co
    Authors(s):
    Editors(s):

Journal Articles

  • Fuchsian differential equation for the perimeter generating function of three-choice polygons
    Year: 2006
    Journal: Seminaire Lotharingien de Combinatoire
    Volume: 54
    Page numbers: B54c (14 pages)
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  • Some solvable, and as yet unsolvable, polygon and walk models
    Year: 2006
    Journal: Journal of Physics - Conference Series
    Volume: 42
    Issue: 1
    Page numbers: 98-110
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  • The perimeter generating function of punctured staircase polygons
    Year: 2006
    Journal: Journal of Physics A - Mathematical and General
    Volume: 39
    Page numbers: 3871-3882
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Conference Publications/Papers

  • Exact Solution of Two Planar Polygon Models
    Year: 2006
    Event name: Differential Geometry and Physics: 23rd International conference of Differential Geometric Methods in Theoretical Physics
    Conference Publication: Nankai Tracts in Mathematics
    Volume: 10
    Page numbers: 221-231
    Publisher: World Scientific Publishing Co
    Author(s):

Publications in 2005

Book Chapters

  • Self-avoiding walks in constrained and random geometries: Series studies
    Year: 2005
    Book: Statistics of Linear Polymers in Disordered Media
    Publisher: Elsevier(Amsterdam)
    Authors(s):

Journal Articles

  • Correction-to-Scaling Exponents for Two-Dimensional Self-Avoiding Walks
    Year: 2005
    Journal: Journal of Statistical Physics
    Volume: 120
    Issue: 5/6
    Page numbers: 1037-1100
    Publisher: Kluwer Academic/Plenum Publishers(New York)
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  • Families of m-convex polygons: m = 1
    Year: 2005
    Journal: Advances in Applied Mathematics
    Volume: 34
    Page numbers: 812-844
    Publisher: Academic Press
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  • Self-avoiding walks and trails on the 3.12.12 lattice  
    Year: 2005
    Journal: Journal of Physics A - Mathematical and General
    Volume: 38
    Issue: 3
    Page numbers: 543-554
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  • Self-avoiding walks crossing a square
    Year: 2005
    Journal: Journal of Physics A - Mathematical and General
    Volume: 38
    Page numbers: 9159-9181
    Publisher: Institute of Physics Publishing(Bristol)
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Conference Publications/Papers

  • The analytic structure of lattice model - Why can't we solve most models?
    Year: 2005
    Event name: Proceedings of the 22nd IUPAP International Conference on Statistical Physics (STATPHYS 22) - Part II
    Conference Publication: Pramana
    Volume: 64
    Issue: 6 (June 2005)
    Page numbers: 829-846
    Publisher: Indian Academy of Sciences
    Author(s):

Publications in 2004

Book Chapters

  • Self-avoiding walks in constrained and random geometrics
    Year: 2004
    Book: In Statistics of Linear Polymers in Disordered Media
    Publisher: Elsevier(Amsterdam)
    Authors(s):

Journal Articles

  • Poland-Scheraga models and the DNA denaturation transition
    Year: 2004
    Journal: Journal of Statistical Physics
    Volume: 115
    Issue: 314
    Page numbers: 925-947
    Publisher: Kluwer Academic/Plenum Publishers(New York)
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  • Scaling prediction for self-avoiding polygons revisited
    Year: 2004
    Journal: Journal of Statistical Mechanics: Theory and Experiment
    Volume: August 2004
    Issue: P08007
    Page numbers: 1-17
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Publications in 2003

Journal Articles

  • Critical parameters and universal amplitude ratios of two-dimensional spin-S Ising models using high and low temperature expansions
    Year: 2003
    Journal: Physical Review B
    Volume: 67
    Issue: 5
    Page numbers: 054402.1-9
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  • On the number of hexagonal polyominoes
    Year: 2003
    Journal: Theoretical Computer Science
    Volume: 307
    Page numbers: 433-453
    Publisher: Elsevier Science
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  • Self-avoiding walks and polygons on quasiperiodic tilings
    Year: 2003
    Journal: Journal of Physics A - Mathematical and General
    Volume: 36
    Page numbers: 6661-6673
    Publisher: Institute of Physics Publishing(Bristol)
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  • Susceptibility amplitudes for the three-and-four state Potts models
    Year: 2003
    Journal: Physica A - Statistical and Theoretical Physics
    Volume: 321
    Page numbers: 90-107
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  • Vicious walkers, friendly walkers and young tableaux. III. between two walls
    Year: 2003
    Journal: Journal of Statistical Physics
    Volume: 110
    Issue: 3-6
    Page numbers: 1069-1086
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Conference Publications/Papers

  • Scaling function for self-avoiding polygons
    Year: 2003
    Event name: International Conference on Theoretical Physics:Th-2002, Paris
    Conference Publication: International Conference on Theoretical Physics:TH-2002
    Page numbers: 267-277
    Publisher: Birkhauser(Basel)
    Author(s):
  • Some results for directed lattice walkers in a strip
    Year: 2003
    Event name: Discrete random walks: theory and applications in combinatorics, computational biology, computer science, probability theory and statistical physics
    Conference Publication: Discrete Mathematics and Theoretical Computer Science
    Volume: 1
    Page numbers: 27-38
    Publisher: DMTCS
    Author(s):

Publications in 2002

Journal Articles

  • Lattice paths: vicious walkers and friendly walkers
    Year: 2002
    Journal: Journal of Statistical Planning and Inference
    Volume: 101
    Page numbers: 107-131
    Publisher: Elsevier Science
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  • On the number of benzenoid hydrocarbons
    Year: 2002
    Journal: Journal of Chemical Information and Computer Sciences
    Volume: 42
    Issue: 3
    Page numbers: 456-466
    Publisher: American Chemical Society
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Publications in 2001

Journal Articles

  • Critical behaviour of the two-dimensional ising susceptibility
    Year: 2001
    Journal: Physical Review Letters
    Volume: 86
    Issue: 18
    Page numbers: 4120-4123
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  • Enumerations in statistical and combinatorics
    Year: 2001
    Journal: Computing in Science and Engineering
    Volume: May/June
    Page numbers: 42-47
    Publisher: American Institute of Physics(New York)
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  • Polygonal polyominoes on the square lattice
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: 3721-3733
    Publisher: Institute of Physics Publishing(Bristol)
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  • Scaling function and universal amplitude combinations for self-avoiding polygons
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: 495 - 501
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  • Square lattice self-avoiding walks and polygons
    Year: 2001
    Journal: Annals of Combinatorics
    Volume: 5
    Page numbers: 1-27
    Publisher: Birkhauser
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  • The susceptibility of the square lattice Ising model: New developments
    Year: 2001
    Journal: Journal of Statistical Physics
    Volume: 102
    Issue: 3/4
    Page numbers: 795-841
    Publisher: Kluwer Academic/Plenum Publishers(New York)
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  • q-linear approximants: scaling functions for polygon models
    Year: 2001
    Journal: Journal of Physics A - Mathematical and General
    Volume: 34
    Page numbers: 4783-4796
    Publisher: Institute of Physics Publishing(Bristol)
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