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Email

guttmann@unimelb.edu.au

Credentials


Position
Honorary (Professor Emeritus)
School of Mathematics and Statistics
Education
PhD
University of New South Wales
Masters (Research)
University of Melbourne
ORCID

0000-0003-2209-7192

Prof Tony Guttmann

Honorary (Professor Emeritus)
School of Mathematics and Statistics

280 Scholarly works
19 Projects

HIGHLIGHTS

  • 2025

    Journal article

    Counting occurrences of patterns in permutations
    DOI: 10.37236/12963
  • 2025

    Journal article

    Efficient counting of k -convex polyominoes
    DOI: 10.1051/ita/2025011
  • 2024

    Journal article

    Asymptotics of Z-convex polyominoes
    DOI: 10.1051/ita/2024009
  • 2023

    Journal article

    The gerrymander sequence, or A348456
    DOI: 10.1016/j.aam.2023.102520
  • 2022

    Journal article

    Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices
    DOI: 10.1088/1751-8121/aca3de
  • 2022

    Journal article

    Self-avoiding walks contained within a square
    DOI: 10.1088/1751-8121/ac9439
  • 2022

    Journal article

    On the existence of critical exponents for self-avoiding walks
    DOI: 10.1088/1751-8121/ac943a
Tony Guttmann

Latest Honours,
Awards and Fellowships


2009
Fellow of the Society of Industrial and Applied Mathematics (USA) (FSIAM)
2007
Fellow of the Australian Academy of Technological Sciences and Engineering (FTSE)
2005
AAS (Lyle)
2004
Aust. Maths. Trust (BH Neumann)

RECENT SCHOLARLY WORKS

  • 2022

    Journal article

    Pattern-Avoiding Ascent Sequences of Length 3
    DOI: 10.37236/11266
  • 2022

    Journal article

    Classical Length-5 Pattern-Avoiding Permutations
    DOI: 10.37236/10805
  • 2021

    Journal article

    Asymptotics of 3-stack-sortable permutations
    DOI: 10.37236/10134

RECENT PROJECTS

  • 2014

    Research Grant

    Advanced Algorithms for Statistical Mechanical Models.
  • 2012

    Research Grant

    Critical Behaviour of Lattice Models of Spin Systems
  • 2010

    Research Grant

    Green Functions, Correlation Functions and Differential Equations
  • 2003

    Research Grant

    ARC Centre of Excellence for Mathematical and Statistical Modelling of Complex Systems
  • 2010

    Research Contracts

    Upsidence and Closure Module

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