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Anthony J. Guttmann

Anthony J. Guttmann

D-Index & Metrics

Mathematics

D-Index
54
Citations
8027
World Ranking
862
National Ranking
20

Research.com Recognitions

  • 2009 - SIAM Fellow For contributions to statistical mechanics, combinatorics and their connections.

Overview

Anthony J. Guttmann is affiliated with the University of Melbourne in Australia and has contributed extensively to research in mathematics and computer science. Their work spans multiple subfields including discrete mathematics and combinatorics, computational theory and mathematics, mathematical physics, artificial intelligence, and statistics and probability.

The scientist's research topics cover advanced combinatorial mathematics, semigroups and automata theory, stochastic processes and statistical mechanics, Bayesian methods and mixture models, cellular automata and applications, random matrices and applications, and digital image processing techniques.

Recent publications by Anthony J. Guttmann include:

  • Self-avoiding walks contained within a square, 2022, Journal of Physics A Mathematical and Theoretical
  • Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices, 2022, Journal of Physics A Mathematical and Theoretical
  • On the existence of critical exponents for self-avoiding walks, 2022, Journal of Physics A Mathematical and Theoretical
  • Stieltjes Moment Sequences for Pattern-Avoiding Permutations, 2020, The Electronic Journal of Combinatorics
  • Pattern-Avoiding Ascent Sequences of Length 3, 2022, The Electronic Journal of Combinatorics

Frequent coauthors collaborating with Anthony J. Guttmann are:

  • Iwan Jensen
  • Andrew Conway
  • Andrew Elvey Price
  • J.-M. Maillard

Their scholarly output has been published in various venues, with the most frequent including:

  • arXiv (Cornell University)
  • The Electronic Journal of Combinatorics
  • Journal of Physics A Mathematical and Theoretical
  • RAIRO. Theoretical informatics and applications
  • Advances in Applied Mathematics

Anthony J. Guttmann has been recognized as a SIAM Fellow since 2009 for contributions related to statistical mechanics, combinatorics, and their connections.

Best Publications

  • Vicious walkers, friendly walkers and Young tableaux: II. With a wall

    Christian Krattenthaler;Anthony J Guttmann;Xavier G Viennot

  • On two-dimensional directed percolation

    J W Essam;A J Guttmann;K De'Bell

  • On the critical behaviour of self-avoiding walks

    A J Guttmann

  • Polygons, Polyominoes and Polycubes

    Anthony J. Guttmann

  • Algebraic techniques for enumerating self-avoiding walks on the square lattice

    A R Conway;I G Enting;A J Guttmann

  • Lattice Green functions in all dimensions

    Anthony J Guttmann

  • Square Lattice Self-Avoiding Walks and Corrections to Scaling.

    A. R. Conway;A. J. Guttmann

  • The Susceptibility of the Square Lattice Ising Model: New Developments

    W. P. Orrick;B. Nickel;A. J. Guttmann;J. H. H. Perk

  • Vicious walkers and Young tableaux I: without walls

    Anthony J Guttmann;Aleksander L Owczarek;Xavier G Viennot

  • The asymptotic behaviour of selfavoiding walks and returns on a lattice

    M F Sykes;A J Guttmann;M G Watts;P D Roberts

  • Some tests of scaling theory for a self-avoiding walk attached to a surface

    M N Barber;A J Guttmann;K M Middlemiss;G M Torrie

  • On a new method of series analysis in lattice statistics

    A J Guttmann;G S Joyce

  • Lattice Green's functions in all dimensions

    Anthony J Guttmann

  • Solvability of Some Statistical Mechanical Systems

    AJ Guttmann;IG Enting

  • Self-avoiding polygons on the square lattice

    Iwan Jensen;Anthony J Guttmann

  • The size and number of rings on the square lattice

    A J Guttmann;I G Enting

  • Exact solution of the staircase and row-convex polygon perimeter and area generating function

    R Brak;A J Guttmann

  • Statistics of lattice animals (polyominoes) and polygons

    Iwan Jensen;Anthony J Guttmann

  • A collapse transition in a directed walk model

    R Brak;A J Guttmann;S G Whittington

  • Vicious walkers and directed polymer networks in general dimensions.

    JW Essam;AJ Guttmann

  • Two-dimensional lattice vesicles and polygons

    M E Fisher;A J Guttmann;S G Whittington

Frequent Co-Authors

Iwan Jensen
Iwan Jensen Flinders University
Stuart G. Whittington
Stuart G. Whittington University of Toronto
Jesper Lykke Jacobsen
Jesper Lykke Jacobsen École Normale Supérieure
Mireille Bousquet-Mélou
Mireille Bousquet-Mélou University of Bordeaux
Jacques H. H. Perk
Jacques H. H. Perk Oklahoma State University
Philippe Flajolet
Philippe Flajolet French Institute for Research in Computer Science and Automation - INRIA
Christian Krattenthaler
Christian Krattenthaler University of Vienna
Barry W. Ninham
Barry W. Ninham Australian National University
Nicholas C. Wormald
Nicholas C. Wormald Monash University
John Cardy
John Cardy University of California, Berkeley

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