Prof Tony Guttmann

Find out more about Tony Guttmann's experience

Tony Guttmann's highlights

FEATURED Journal article

Permutations sortable by two stacks in series

Tony Guttmann's selected work

Advanced Algorithms For Statistical Mechanical Models.

Research Grant

Prove it – with maths

NEWS ARTICLE

Permutations sortable by deques and by two stacks in parallel

Journal article

Critical Behaviour Of Lattice Models Of Spin Systems

Research Grant

Is the full susceptibility of the square-lattice Ising model a differentially algebraic fu..

Journal article

Scheduling For Amphibious Operations

Research Contracts

Projects

Displaying the 19 most recent projects by Tony Guttmann.

Advanced Algorithms For Statistical Mechanical Models.

Polymer science, percolation theory and models of magnetism are at the forefront of lattice statistical mechanics and condensed matter theor..

2014 - 2018

Completed

Critical Behaviour Of Lattice Models Of Spin Systems

A common feature of complex systems is that simple, short-range forces can produce long-range effects. Lattice spin systems are paradigms of..

2012 - 2016

Completed

Calibration Monitoring & Calibration Interval Extension Project "Task 0" Feasibility

2010 - 2010

Completed

Characterization Of New Ceramic Injection Moulding Tools

2010

Active

Innovation In Modelling And Control Of Arterial Networks Stage 2

2010 - 2010

Completed

Green Functions, Correlation Functions And Differential Equations

Classical and quantum exact solutions are established cornerstones in Australian applied mathematical research. In this project, we will:- 1..

2010 - 2014

Completed

Development Of A Statistical Framework For Traffic Micro-Simulations - (Stage 2) - Empirical Scientific Analysis / (Stage 3) - Framework Design

2009 - 2010

Completed

Analysis Of Traffic Flow In Urban Road Networks

2008 - 2009

Completed

Arc Centre Of Excellence For Mathematics And Statistics Of Complex Systems

2008 - 2010

Completed

Arc Centre Of Excellence For Mathematical And Statistical Modelling Of Complex Systems

2003 - 2012

Completed

Exact Dynamics Of The Asymmetric Exclusion Process With Boundaries

This project offers an opportunity for a postgraduate student to participate in world-class research. It further strengthens collaborative t..

Development Of A Statistical Framework For Traffic Micro-Simulations

Completed

Theory And Applications Of Hypergeometric Series

Techniques based on hypergeometric series lie at the heart of an exciting and rapidly developing class of mathematical methods, with applica..

Statistical Analysis Of Mining Subsidence Data

Completed

Arc Centre Of Excellence For Mathematical & Statistical Modelling Of Complex Systems

Conformal Invariance & Stationary States

Universal properties in nonequilibrium processes, such as scaling of space and time, suggest the existence of a fundamental, model independe..

19

Projects

Project Types

Research Contracts

Research Grant

Internal Research Grant

Scholarly Works

Displaying the 250 most recent scholarly works by Tony Guttmann.

Permutations sortable by two stacks in series

A Elvey Price, AJ Guttmann

Journal article | 2017 | Advances in Applied Mathematics

Permutations sortable by deques and by two stacks in parallel

Andrew Elvey Price, Anthony J Guttmann

Journal article | 2017 | European Journal of Combinatorics

Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?

AJ Guttmann, I Jensen, J-M Maillard, J Pantone

Journal article | 2016 | Journal of Physics A: Mathematical and Theoretical

On the growth constant for square-lattice self-avoiding walks

Jesper Lykke Jacobsen, Christian R Scullard, Anthony J Guttmann

Journal article | 2016 | Journal of Physics A: Mathematical and Theoretical

Series extension: predicting approximate series coefficients from a finite number of exact coefficients

Anthony J Guttmann

Journal article | 2016 | Journal of Physics A: Mathematical and Theoretical

Three-dimensional terminally attached self-avoiding walks and bridges

Nathan Clisby, Andrew R Conway, Anthony J Guttmann

Journal article | 2016 | Journal of Physics A: Mathematical and Theoretical

Automata and the susceptibility of the square lattice Ising model modulo powers of primes

AJ Guttmann, J-M Maillard

Journal article | 2015 | Journal of Physics A: Mathematical and Theoretical

Compressed self-avoiding walks, bridges and polygons

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen, Gregory F Lawler

Journal article | 2015 | Journal of Physics A: Mathematical and Theoretical

On 1324-avoiding permutations

Andrew R Conway, Anthony J Guttmann

Journal article | 2015 | Advances in Applied Mathematics

Analysis of series expansions for non-algebraic singularities

Anthony J Guttmann

Journal article | 2015 | Journal of Physics A: Mathematical and Theoretical

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is

Nicholas R Beaton, Mireille Bousquet-Melou, Jan de Gier, Hugo Duminil-Copin, Anthony J Guttmann

Journal article | 2014 | Communications in Mathematical Physics

Self-avoiding walks in a rectangle

Anthony J Guttmann, Tom Kennedy

Journal article | 2014 | Journal of Engineering Mathematics

Pulling adsorbed self-avoiding walks from a surface

Anthony J Guttmann, I Jensen, SG Whittington

Journal article | 2014 | Journal of Physics A - Mathematical and Theoretical

Self-Avoiding walks in a rectangle

AJ Guttmann, T Kennedy

Journal article | 2014 | Journal of Engineering Mathematics

A series test of the scaling limit of self-avoiding walks

Anthony J Guttmann, Jesper L Jacobsen

Journal article | 2013 | Journal of Physics A - Mathematical and Theoretical

An integral arising from the chiral sl(n) Potts model

Anthony J Guttmann, Mathew D Rogers

Journal article | 2013 | Journal of Physics A - Mathematical and Theoretical

Spanning tree generating functions and Mahler measures

Anthony J Guttmann, Mathew D Rogers

Journal article | 2012 | Journal of Physics A - Mathematical and Theoretical

Lattice models and integrability: a special issue in honour of F Y Wu PREFACE

AJ Guttmann, JL Jacobsen

Journal article | 2012 | Journal of Physics A: Mathematical and Theoretical

Off-critical parafermions and the winding angle distribution of the O(n) model

Andrew Elvey Price, Jan de Gier, Anthony J Guttmann, Alexander Lee

Journal article | 2012 | Journal of Physics A - Mathematical and General

Erratum to: Introduction (J Stat Phys, (2011), 145, (508-509), 10.1007/s10955-011-0379-4)

T Guttmann

Journal article | 2012 | Journal of Statistical Physics

Two-dimensional self-avoiding walks and polymer adsorption: critical fugacity estimates

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen

Journal article | 2012 | Journal of Physics A - Mathematical and Theoretical

A numerical adaptation of self-avoiding walk identities from the honeycomb to other 2D lattices

Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen

Journal article | 2012 | Journal of Physics A - Mathematical and Theoretical

Self-avoiding walks and polygons - an overview

AJ Guttmann

Journal article | 2012 | Asia Pacific Mathematics Newsletter

Some New Self-avoiding Walk and Polygon Models

Nicholas R Beaton, Philippe Flajolet, Timothy M Garoni, Anthony J Guttmann

Journal article | 2012 | Fundamenta Informaticae

On the enumeration of column-convex permutominoes

NR Beaton, F Disanto, AJ Guttmann, S Rinaldi

Conference Proceedings | 2011 | DMTCS proceedings 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)

The enumeration of prudent polygons by area and its unusual asymptotics

Nicholas R Beaton, Philippe Flajolet, Anthony J Guttmann

Journal article | 2011 | Journal of Combinatorial Theory Series A

The Ising Susceptibility Scaling Function

Y Chan, AJ Guttmann, BG Nickel, JHH Perk

Journal article | 2011 | J. Stat. Phys. (2011) 145:549-590

Introduction

T Guttmann

Journal article | 2011 | Journal of Statistical Physics

Form factor expansions in the 2D Ising model and Painleve VI

Vladimir V Mangazeev, Anthony J Guttmann

Journal article | 2010 | Nuclear Physics B

The unusual asymptotics of three-sided prudent polygons

Nicholas R Beaton, Philippe Flajolet, Anthony J Guttmann

Journal article | 2010 | Journal of Physics A - Mathematical and Theoretical

Lattice Green's functions in all dimensions

Anthony J Guttmann

Journal article | 2010 | Journal of Physics A - Mathematical and Theoretical

Square lattice Ising model (chi)over-tilde((5)) ODE in exact arithmetic

B Nickel, I Jensen, S Boukraa, AJ Guttmann, S Hassani, J-M Maillard, N Zenine

Journal article | 2010 | Journal of Physics A - Mathematical and Theoretical

Self-Avoiding walks as a canonical model of phase transitions

A GUTTMANN

Book Chapter | 2010

POLYOMINOES WITH NEARLY CONVEX COLUMNS: AN UNDIRECTED MODEL

Svjetlan Feretic, Anthony J Guttmann

Journal article | 2010 | Glasnik Matematicki

Two generalizations of column-convex polygons

Svjetlan Feretic, Anthony J Guttmann

Journal article | 2009 | Journal of Physics A - Mathematical and Theoretical

High order Fuchsian equations for the square lattice Ising model: (chi)over-tilde((5))

A Bostan, S Boukraa, AJ Guttmann, S Hassani, I Jensen, J-M Maillard, N Zenine

Journal article | 2009 | Journal of Physics A - Mathematical and Theoretical

Lattice Green functions and Calabi-Yau differential equations

Anthony J Guttmann

Journal article | 2009 | Journal of Physics A - Mathematical and Theoretical

Prudent walks and polygons

Timothy M Garoni, Anthony J Guttmann, Iwan Jensen, John C Dethridge

Journal article | 2009 | Journal of Physics A - Mathematical and Theoretical

Concepts of Entropy and Their Applications

Phil Broadbridge, Anthony J Guttmann

Journal article | 2009 | Entropy

Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates

A GUTTMANN, I JENSEN

Book Chapter | 2009

Series Analysis

Anthony J Guttmann, Iwan Jensen

Book Chapter | 2009 | Lecture Notes in Physics

Effect of Confinement: Polygons in Strips, Slabs and Rectangles

Anthony J Guttmann, Iwan Jensen

Book Chapter | 2009 | Lecture Notes in Physics

History and Introduction to Polygon Models and Polyominoes

Anthony J Guttmann

Book Chapter | 2009 | Lecture Notes in Physics

Self-avoiding walks as a canonical model of phase transitions

AJ Guttmann

Book Chapter | 2009

Modeling force-induced bio-polymer unfolding

Anthony J Guttmann, Jesper L Jacobsen, Iwan Jensen, Sanjay Kumar

Journal article | 2009 | Journal of Mathematical Chemistry

Why Are So Many Problems Unsolved?

Anthony J Guttmann

Book Chapter | 2009 | Lecture Notes in Physics

Experimental mathematics on the magnetic susceptibility of the square lattice Ising model

S Boukraa, AJ Guttmann, S Hassani, I Jensen, J-M Maillard, B Nickel, N Zenine

Journal article | 2008 | Journal of Physics A - Mathematical and Theoretical

Trading indicators with information-gap uncertainty

CJ Thompson, AJ Guttmann, BJP Thompson

Journal article | 2008 | Journal of Risk Finance

Prudent Self-Avoiding Walks

John C Dethridge, Anthony J Guttmann

Journal article | 2008 | Entropy: international and interdisciplinary journal of entropy and information studies

Area distribution and scaling function for punctured polygons

Christoph Richard, Iwan Jensen, Anthony J Guttmann

Journal article | 2008 | Electronic Journal of Combinatorics

Area distribution and scaling function for punctured polygons

C Richard, I Jensen, AJ Guttmann

Journal article | 2008 | Electronic Journal of Combinatorics

Proceedings of SPIE: Complex Systems II: Introduction

D Abbott, T Aste, M Batchelor, R Dewar, T Di Matteo, T Guttmann

Conference Proceedings | 2008 | Complex Systems II

Exact generating function for 2-convex polygons

WRG James, I Jensen, AJ Guttmann

Journal article | 2008 | Journal of Physics A - Mathematical and Theoretical

Role of conformational entropy in force-induced biopolymer unfolding

Sanjay Kumar, Iwan Jensen, Jesper L Jacobsen, Anthony J Guttmann

Journal article | 2007 | Physical Review Letters

The perimeter generating function of punctured staircase polygons

Anthony J Guttmann, Iwan Jensen

Journal article | 2006 | Journal of Physics A - Mathematical and General

Some solvable, and as yet unsolvable, polygon and walk models

Anthony J Guttmann

Journal article | 2006 | Journal of Physics - Conference Series

Exact solution of two planar polygon models

I JENSEN, A GUTTMANN

Book Chapter | 2006

Exact solution of two planar polygon models

Anthony J Guttmann, Iwan Jensen

Conference Proceedings | 2006 | Nankai Tracts in Mathematics

Self-avoiding walks crossing a square

AJ Guttmann, I Jensen, M Bousquet-Mélou

Conference Proceedings | 2005 | FPSAC Proceedings 2005 - 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics

Self-avoiding walks in constrained and random geometries. Series studies

AJ Guttmann

Book Chapter | 2005

Self-avoiding walks crossing a square

M Bousquet-Melou, AJ Guttmann, I Jensen

Journal article | 2005 | Journal of Physics A - Mathematical and General

Correction-to-Scaling Exponents for Two-Dimensional Self-Avoiding Walks

Sergio Caracciolo, Anthony J Guttmann, Iwan Jensen, Andrea Pelissetto, Andrew N Rogers, Alan D Sokal

Journal article | 2005 | Journal of Statistical Physics

Correction-to-scaling exponents for two-dimensional self-avoiding walks

S Caracciolo, AJ Guttmann, I Jensen, A Pelissetto, AN Rogers, AD Sokal

Journal article | 2005 | Journal of Statistical Physics

Discrete Mathematics: Preface

O Foda, T Guttmann

Journal article | 2005 | Discrete Mathematics

The analytic structure of lattice models - Why can't we solve most models?

AJ Guttmann

Conference Proceedings | 2005 | Pramana

The analytic structure of lattice models - Why can't we solve most models?

AJ Guttmann

Conference Proceedings | 2005 | Pramana - Journal of Physics

Families of m-convex polygons: m=1

WRG James, AJ Guttmann

Journal article | 2005 | Advances in Applied Mathematics

Self-avoiding walks and trails on the 3.12(2) lattice

AJ Guttmann, R Parviainen, A Rechnitzer

Journal article | 2005 | Journal of Physics A - Mathematical and General

The analytic structure of lattice model - Why can't we solve most models?

AJ GUTTMANN

Conference Proceedings | 2005 | Pramana

Fuchsian differential equation for the perimeter generating function of three-choice polygons

A GUTTMANN, I JENSEN

Journal article | 2005 | Seminaire Lotharingien de Combinatoire

Scaling prediction for self-avoiding polygons revisited

C Richard, I Jensen, AJ Guttmann

Journal article | 2004 | Journal of Statistical Mechanics: Theory and Experiment

Poland–Scheraga Models and the DNA Denaturation Transition

C Richard, AJ Guttmann

Journal article | 2004 | Journal of Statistical Physics

Poland-Scheraga models and the DNA denaturation transition

C Richard, AJ Guttmann

Journal article | 2004 | Journal of Statistical Physics

Self-avoiding walks in constrained and random geometrics

A GUTTMANN

Book Chapter | 2004

On the number of hexagonal polyominoes

M Voge, AJ Guttmann

Journal article | 2003 | Theoretical Computer Science

Self-avoiding walks and polygons on quasiperiodic tilings

AN Rogers, C Richard, AJ Guttmann

Journal article | 2003 | Journal of Physics A - Mathematical and General

Susceptibility amplitudes for the three- and four-state Potts models

IG Enting, AJ Guttmann

Journal article | 2003 | Physica A - Statistical and Theoretical Physics

Vicious walkers, friendly walkers, and young tableaux. III. Between two walls

C Krattenthaler, AJ Guttmann, XG Viennot

Journal article | 2003 | Journal of Statistical Physics

Critical parameters and universal amplitude ratios of two-dimensional spin-S Ising models using high- and low-temperature expansions

P Butera, M Comi, AJ Guttmann

Journal article | 2003 | Physical Review B

Some results for directed lattice walkers in a strip

Y CHAN, AJ GUTTMANN

Conference Proceedings | 2003 | Discrete Mathematics and Theoretical Computer Science

Scaling function for self-avoiding polygons

C Richard, I JENSEN, A GUTTMANN

Conference Proceedings | 2003 | International Conference on Theoretical Physics:TH-2002

On the number of benzenoid hydrocarbons

M Voge, AJ Guttmann, I Jensen

Journal article | 2002 | Journal of Chemical Information and Computer Sciences

Lattice paths: vicious walkers and friendly walkers

AJ Guttmann, M Voge

Journal article | 2002 | Journal of Statistical Planning and Inference

Square Lattice Self-Avoiding Walks and Polygons

AJ Guttmann, AR Conway

Journal article | 2001 | Annals of Combinatorics

Scaling function and universal amplitude combinations for self-avoiding polygons

C Richard, AJ Guttmann, I Jensen

Journal article | 2001 | Journal of Physics A - Mathematical and General

q-linear approximants: scaling functions for polygon models

C Richard, AJ Guttmann

Journal article | 2001 | Journal of Physics A - Mathematical and General

Polygonal polyominoes on the square lattice

AJ Guttmann, I Jensen, AL Owczarek

Journal article | 2001 | Journal of Physics A - Mathematical and General

Enumerations in statistical mechanics and combinatorics

A Guttmann

Journal article | 2001 | Computing in Science and Engineering

Critical behavior of the two-dimensional Ising susceptibility

WP Orrick, BG Nickel, AJ Guttmann, JHH Perk

Journal article | 2001 | Physical Review Letters

The susceptibility of the square lattice Ising model: New developments

WP Orrick, B Nickel, AJ Guttmann, JHH Perk

Journal article | 2001 | Journal of Statistical Physics

The susceptibility of the square lattice Ising model: New developments

WP Orrick, B Nickel, AJ Guttmann, JHH Perk

Journal article | 2001 | JOURNAL OF STATISTICAL PHYSICS

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

C Krattenthaler, AJ Guttmann, XG Viennot

Journal article | 2000 | Journal of Physics A: Mathematical and General

Self-avoiding walks on the simple cubic lattice

D MacDonald, S Joseph, DL Hunter, LL Moseley, N Jan, AJ Guttmann

Journal article | 2000 | Journal of Physics A: Mathematical and General

Statistics of lattice animals (polyominoes) and polygons

I Jensen, AJ Guttmann

Journal article | 2000 | Journal of Physics A: Mathematical and General

Critical exponents of plane meanders

I Jensen, AJ Guttmann

Journal article | 2000 | Journal of Physics A: Mathematical and General

Indicators of solvability for lattice models

AJ Guttmann

Journal article | 2000 | Discrete Mathematics

Punctured polygons and polyominoes on the square lattice

AJ Guttmann, I Jensen, LH Wong, IG Enting

Journal article | 2000 | Journal of Physics A: Mathematical and General

Self-avoiding polygons on the square lattice

I Jensen, AJ Guttmann

Journal article | 1999 | Journal of Physics A: Mathematical and General

Vicious walkers and Young tableaux I: without walls

AJ Guttmann, AL Owczarek, XG Viennot

Journal article | 1998 | Journal of Physics A: Mathematical and General

Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices

I Jensen, AJ Guttmann

Journal article | 1998 | Journal of Physics A: Mathematical and General

On the non-universality of a critical exponent for self-avoiding walks

D Bennett-Wood, JL Cardy, IG Enting, AJ Guttmann, AL Owczarek

Journal article | 1998 | Nuclear Physics B

Exact enumeration study of free energies of interacting polygons and walks in two dimensions

D Bennett-Wood, IG Enting, DS Gaunt, AJ Guttmann, JL Leask, AL Owczarek, SG Whittington

Journal article | 1998 | Journal of Physics A: Mathematical and General

Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros

H Feldmann, AJ Guttmann, I Jensen, R Shrock, SH Tsai

Journal article | 1998 | Journal of Physics A: Mathematical and General

The potts model on Kagome and honeycomb lattices

I Jensen, AJ Guttmann, IG Enting

Journal article | 1997 | Journal of Physics A: Mathematical and General

On the hulls of directed percolation clusters

AL Owczarek, A Rechnitzer, R Brak, AJ Guttmann

Journal article | 1997 | Journal of Physics A: Mathematical and General

Inversion relations, the ising model and polygons

AJ Guttmann

Conference Proceedings | 1997 | Mathematical and Computer Modelling

Three-dimensional self-avoiding convex polygons

M Bousquet-Mélou, AJ Guttmann

Journal article | 1997 | Physical Review E

The number of three-choice polygons

A Conway, AJ Guttmann, M Delest

Conference Proceedings | 1997 | Mathematical and Computer Modelling

Self-avoiding walks and polygons on non-Euclidean lattices

E Swierczak, AJ Guttmann

Journal article | 1996 | Journal of Physics A: Mathematical and General

Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model

I Jensen, AJ Guttmann

Journal article | 1996 | Journal of Physics A: Mathematical and General

Low-temperature series expansions for the square lattice Ising model with spin S>1

I Jensen, AJ Guttmann, IG Enting

Journal article | 1996 | Journal of Physics A: Mathematical and General

Directed percolation near a wall

JW Essam, AJ Guttmann, I Jensen, D TanlaKishani

Journal article | 1996 | Journal of Physics A: Mathematical and General

Series expansions for two-dimensional directed percolation.

I Jensen, AJ Guttmann

Journal article | 1996 | Nuclear Physics B - Proceedings Supplements

Series expansions of the percolation probability on the directed triangular lattice

I Jensen, AJ Guttmann

Journal article | 1996 | Journal of Physics A: Mathematical and General

Solvability of Some Statistical Mechanical Systems

AJ Gàbor, IG Enting

Journal article | 1996 | Physical Review Letters

Inversion relations, the Ising model and self-avoiding polygons

AJ Guttmann, IG Enting

Journal article | 1996 | Nuclear Physics B - Proceedings Supplements

Square lattice self-avoiding walks and corrections to scaling

AR Conway, AJ Guttmann

Journal article | 1996 | Physical Review Letters

Directed compact percolation near a wall. II. Cluster length and size

JW Essam, AJ Guttmann

Journal article | 1995 | Journal of Physics A: Mathematical and General

On two-dimensional percolation

AR Conway, AJ Guttmann

Journal article | 1995 | Journal of Physics A: Mathematical and General

ORIENTED SELF-AVOIDING WALKS WITH ORIENTATION-DEPENDENT INTERACTIONS

D BENNETTWOOD, JL CARDY, S FLESIA, AJ GUTTMANN, AL OWCZAREK

Journal article | 1995 | Journal of Physics A: Mathematical and General

SERIES EXPANSIONS OF THE PERCOLATION PROBABILITY FOR DIRECTED SQUARE AND HONEYCOMB LATTICES

I JENSEN, AJ GUTTMANN

Journal article | 1995 | Journal of Physics A: Mathematical and General

RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL

AJ GUTTMANN, AL OWCZAREK, D BENNETTWOOD, T PRELLBERG

Conference Proceedings | 1995 | Nuclear Physics B - Proceedings Supplements

Vicious walkers and directed polymer networks in general dimensions

JW Essam, AJ Guttmann

Journal article | 1995 | Physical Review E

UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS

AL OWCZAREK, T PRELLBERG, D BENNETTWOOD, AJ GUTTMANN

Journal article | 1994 | Journal of Physics A: Mathematical and General

Series studies of the Potts model: III. The 3-state model on the simple cubic lattice

AJ Guttmann, IG Enting

Journal article | 1994 | Journal of Physics A: Mathematical and General

The high-temperature specific heat exponent of the 3D Ising model

AJ Guttmann, IG Enting

Journal article | 1994 | Journal of Physics A: Mathematical and General

Series studies of the Potts model. II. Bulk series for the square lattice

KM Briggs, IG Enting, AJ Guttmann

Journal article | 1994 | Journal of Physics A: Mathematical and General

Longitudinal size exponent for square-lattice directed animals

AR Conway, AJ Guttmann

Journal article | 1994 | Journal of Physics A: Mathematical and General

Lattice Green function (at 0) for the 4D hypercubic lattice

ML Glasser, AJ Guttmann

Journal article | 1994 | Journal of Physics A: Mathematical and General

LOW-TEMPERATURE SERIES EXPANSIONS FOR THE SPIN-1 ISING-MODEL

IG ENTING, AJ GUTTMANN, I JENSEN

Journal article | 1994 | Journal of Physics A: Mathematical and General

LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS

D BENNETTWOOD, R BRAK, AJ GUTTMANN, AL OWCZAREK, T PRELLBERG

Journal article | 1994 | Journal of Physics A: Mathematical and General

ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS

AJ GUTTMANN, T PRELLBERG, AL OWCZAREK

Journal article | 1993 | Journal of Physics A: Mathematical and General

Series studies of the Potts model. I. The simple cubic Ising model

AJ Guttmann, IG Enting

Journal article | 1993 | Journal of Physics A: Mathematical and General

Enumeration of self-avoiding trails on a square lattice using a transfer matrix technique

AR Conway, AJ Guttmann

Journal article | 1993 | Journal of Physics A: Mathematical and General

Lower bound on the connective constant for square lattice self-avoiding walks

AR Conway, AJ Guttmann

Journal article | 1993 | Journal of Physics A: Mathematical and General

Directed animals on two-dimensional lattices

AR Conway, R Brak, AJ Guttmann

Journal article | 1993 | Journal of Physics A: Mathematical and General

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

AR Conway, IG Enting, AJ Guttmann

Journal article | 1993 | Journal of Physics A: Mathematical and General

FINITE-LENGTH SCALING OF COLLAPSING DIRECTED WALKS

T PRELLBERG, AL OWCZAREK, R BRAK, AJ GUTTMANN

Journal article | 1993 | Physical Review E

Universal amplitude combinations for self-avoiding walks, polygons and trails

JL Cardy, AJ Guttmann

Journal article | 1993 | Journal of Physics A: Mathematical and General

Comment on ''Low-temperature expansion for the Ising model''

AJ Guttmann, IG Enting

Journal article | 1993 | Physical Review Letters

Staircase polygons, elliptic integrals, Heun functions, and lattice Green functions

AJ Guttmann, T Prellberg

Journal article | 1993 | Physical Review E

Subsonic potential flow and the transonic controversy

AJ Guttmann, CJ Thompson

Journal article | 1993 | SIAM Journal on Applied Mathematics

Critical exponents of the three-dimensional classical plane-rotator model on the sc lattice from a high-temperature-series analysis

P Butera, M Comi, AJ Guttmann

Journal article | 1993 | Physical Review B

A collapse transition in a directed walk model

R Brak, AJ Guttmann, SG Whittington

Journal article | 1992 | Journal of Physics A: Mathematical and General

Self-avoiding rings on the triangular lattice

IG Enting, AJ Guttmann

Journal article | 1992 | Journal of Physics A: Mathematical and General

High-temperature expansions for the strongly correlated Falicov-Kimball model

YS Yang, CJ Thompson, AJ Guttmann

Journal article | 1992 | Physica A: Statistical Mechanics and its Applications

Enumeration of Almost‐Convex Polygons on the Square Lattice

IG Enting, AJ Guttmann, LB Richmond, NC Wormald

Journal article | 1992 | Random Structures and Algorithms

The extension of self-avoiding random walk series in two dimensions

AJ Guttmann, J Wang

Journal article | 1991 | Journal of Physics A: Mathematical and General

Two-dimensional lattice vesicles and polygons

ME Fisher, AJ Guttmann, SG Whittington

Journal article | 1991 | Journal of Physics A: Mathematical and General

The shortest path of SAWs with bridges

AJ Guttmann, YS Yang

Journal article | 1991 | Journal of Physics A: Mathematical and General

On the behaviour of collapsing linear and branched polymers

R Brak, AJ Guttmann, SG Whittington

Journal article | 1991 | Journal of Mathematical Chemistry

Numerical studies of the Hubbard model

AJ Guttmann, CJ Thompson, YS Yang

Journal article | 1991 | Nuclear Physics B - Proceedings Supplements

High-temperature expansions for the strongly correlated hubbard model in the limit of infinite dimension

CJ Thompson, YS Yang, AJ Guttmann, MF Sykes

Journal article | 1991 | Journal of Physics A: Mathematical and General

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

R Brak, AJ Guttmann

Journal article | 1990 | Journal of Physics A: Mathematical and General

Algebraic approximants: A new method of series analysis

R Brak, AJ Guttmann

Journal article | 1990 | Journal of Physics A: Mathematical and General

Exact solution of the row-convex polygon perimeter generating function

R Brak, AJ Guttmann, IG Enting

Journal article | 1990 | Journal of Physics A: Mathematical and General

Universal distance ratios for 2D SAWs: Series results

AJ Guttmann, YS Yang

Journal article | 1990 | Journal of Physics A: Mathematical and General

Self-avoiding walks which cross a square

SG Whittington, AJ Guttmann

Journal article | 1990 | Journal of Physics A: Mathematical and General

Critical exponent for the loop erased self-avoiding walk by Monte Carlo methods

AJ Guttmann, RJ Bursill

Journal article | 1990 | Journal of Statistical Physics

On the area of square lattice polygons

IG Enting, AJ Guttmann

Journal article | 1990 | Journal of Statistical Physics

Density of hole states for the strongly correlated Hubbard model

YS Yang, CJ Thompson, AJ Guttmann

Journal article | 1990 | Physical Review B

The phase transition of the 3-dimensional 3-state potts model

AJ Guttmann, IG Enting

Journal article | 1990 | Nuclear Physics B - Proceedings Supplements

The geometrical properties of planar lattice trails

AJ Guttmann, SS Manna

Journal article | 1989 | Journal of Physics A: Mathematical and General

Area-weighted moments of convex polygons on the square lattice

IG Enting, AJ Guttmann

Journal article | 1989 | Journal of Physics A: Mathematical and General

Diffusion on self-avoiding walk networks

SS Manna, AJ Guttmann, AK Roy

Journal article | 1989 | Journal of Physics A: Mathematical and General

On the critical behaviour of self-avoiding walks. II

AJ Guttmann

Journal article | 1989 | Journal of Physics A: Mathematical and General

Cluster expansions for the Ising and Heisenberg spin models in Hamiltonian lattice field theory

CJ Hamer, AJ Guttmann

Journal article | 1989 | Journal of Physics A: Mathematical and General

Polygons on the honeycomb lattice

IG Enting, AJ Guttmann

Journal article | 1989 | Journal of Physics A: Mathematical and General

Kinetic growth walks and trails on oriented square lattices: Hull percolation and percolation hulls

SS Manna, AJ Guttmann

Journal article | 1989 | Journal of Physics A: Mathematical and General

Diffusion on two-dimensional random walks

SS Manna, AJ Guttmann, BD Hughes

Journal article | 1989 | Physical Review A

Series expansion of the percolation probability for the directed square lattice

RJ Baxter, AJ Guttmann

Journal article | 1988 | Journal of Physics A: Mathematical and General

The size and number of rings on the square lattice

AJ Guttmann, IG Enting

Journal article | 1988 | Journal of Physics A: Mathematical and General

A monte carlo study of lattice trails

AJ Guttmann

Journal article | 1988 | Journal of Physics A: Mathematical and General

Self-avoiding polygons - towards an exact solution?

AJ Guttmann, IG Enting

Journal article | 1988 | Nuclear Physics B - Proceedings Supplements

Comment on 'The exact location of partition function zeros, a new method for statistical mechanics'

AJ Guttmann

Journal article | 1987 | Journal of Physics A: Mathematical and General

Spiral self-avoiding walks on the triangular lattice

G Szekeres, AJ Guttmann

Journal article | 1987 | Journal of Physics A: Mathematical and General

The high-temperature susceptibility and spin-spin correlation function of the three-dimensional ising model

AJ Guttmann

Journal article | 1987 | Journal of Physics A: Mathematical and General

On the critical behaviour of self-avoiding walks

AJ Guttmann

Journal article | 1987 | Journal of Physics A: Mathematical and General

Two-dimensional anisotropic spiral self-avoiding walks

AJ Guttmann, KJ Wallace

Journal article | 1986 | Journal of Physics A: Mathematical and General

Connective constant of the self-avoiding walk on the triangular lattice

AJ Guttmann, TR Osborn, AD Sokal

Journal article | 1986 | Journal of Physics A: Mathematical and General

Validity of hyperscaling for the d=3 Ising model

AJ Guttmann

Journal article | 1986 | Physical Review B

Series analysis of the two-dimensional step model

A Nymeyer, AJ Guttmann

Journal article | 1985 | Journal of Physics A: Mathematical and General

Lattice trails. II. Numerical results

AJ Guttmann

Journal article | 1985 | Journal of Physics A: Mathematical and General

Self-avoiding polygons on the square, L and Manhattan lattices

IG Enting, AJ Guttmann

Journal article | 1985 | Journal of Physics A: Mathematical and General

On three-dimensional spiral anisotropic self-avoiding walks

AJ Guttmann, KJ Wallace

Journal article | 1985 | Journal of Physics A: Mathematical and General

On the connective constants of two-dimensional self-avoiding walks

AJ Guttmann

Journal article | 1985 | Zeitschrift f�r Physik B Condensed Matter

Comment on the number of spiral self-avoiding walks

AJ Guttmann, M Hirschhorn

Journal article | 1984 | Journal of Physics A: Mathematical and General

On self-repelling walks

C Byrnes, AJ Guttmann

Journal article | 1984 | Journal of Physics A: Mathematical and General

Erratum: On the number of spiral self-avoiding walks (J. Phys. A: Math. Gen. (1984) 17 (L271-4))

AJ Guttmann, NC Wormald

Journal article | 1984 | Journal of Physics A: Mathematical and General

On the number of spiral self-avoiding walks

AJ Guttmann, NC Wormald

Journal article | 1984 | Journal of Physics A: Mathematical and General

On two-dimensional self-avoiding random walks

AJ Guttmann

Journal article | 1984 | Journal of Physics A: Mathematical and General

Critical behaviour at an edge for the SAW and Ising model

AJ Guttmann, GM Torrie

Journal article | 1984 | Journal of Physics A: Mathematical and General

A generalised self-avoiding walk

AJ Guttmann, C Byrnes, NE Frankel

Journal article | 1984 | Journal of Physics A: Mathematical and General

Bounds on connective constants for self-avoiding walks

AJ Guttmann

Journal article | 1983 | Journal of Physics A: Mathematical and General

Bounds on self-avoiding walks on directed square lattices

AJ Guttmann

Journal article | 1983 | Journal of Physics A: Mathematical and General

On the number of lattice animals embeddable in the square lattice

AJ Guttmann

Journal article | 1982 | Journal of Physics A: Mathematical and General

Series analysis study of bond-site percolation on an anisotropic triangular lattice

GM Torrie, DS Gaunt, AJ Guttmann, SG Whittington

Journal article | 1982 | Journal of Physics A: Mathematical and General

Real space renormalisation group study of bond-site percolation on an anisotropic triangular lattice

AJ Guttmann, SG Whittington

Journal article | 1982 | Journal of Physics A: Mathematical and General

Critical behavior of 3 field theories in three dimensions

J Reeve, AJ Guttmann, B Keck

Journal article | 1982 | Physical Review B

Correction to scaling exponents and critical properties of the n-vector model with dimensionality>4

AJ Guttmann

Journal article | 1981 | Journal of Physics A: Mathematical and General

Renormalisation group calculations of the critical exponents of the n-vector model with a free surface

J Reeve, AJ Guttmann

Journal article | 1981 | Journal of Physics A: Mathematical and General

Semi-infinite φ4 systems: Expansions for susceptibility exponents

JS Reeve, AJ Guttmann

Journal article | 1981 | Journal of Physics A: Mathematical and General

A recurrence technique for confluent singularity analysis of power series

JJ Rehr, GS Joyce, AJ Guttmann

Journal article | 1980 | Journal of Physics A: Mathematical and General

Critical behaviour of the four-dimensional n=0 model with a free surface

AJ Guttmann, JS Reeve

Journal article | 1980 | Journal of Physics A: Mathematical and General

The surface susceptibility exponent for the polymer problem

SG Whittington, GM Torrie, AJ Guttmann

Journal article | 1980 | Journal of Physics A: Mathematical and General

The square lattice Ising model with a free surface

IG Enting, AJ Guttmann

Journal article | 1980 | Journal of Physics A: Mathematical and General

Surface critical behaviour of the Ising model

AJ Guttmann, GM Torrie, SG Whittington

Journal article | 1980 | Journal of Magnetism and Magnetic Materials

Critical behavior of the n-Vector model with a free surface

JS Reeve, AJ Guttmann

Journal article | 1980 | Physical Review Letters

The Ising model with a free surface: A series analysis study

SG Whittington, GM Torrie, AJ Guttmann

Journal article | 1979 | Journal of Physics A: Mathematical and General

Percolation with restricted valence

DS Gaunt, AJ Guttmann, SG Whittington

Journal article | 1979 | Journal of Physics A: Mathematical and General

On the derivation and analysis of the spin S XY-model susceptibility series expansions

R Dekeyser, AJ Guttmann, J Rogiers, I van Hoovels

Journal article | 1979 | Physica A: Statistical Mechanics and its Applications