A. Guttmann

发表

On combinatorics and statistical mechanics

A. Guttmann, 1999 .

The number of three-choice polygons

A. Guttmann, M. Delest, A. Conway, 1997 .

LETTER TO THE EDITOR: Statistics of lattice animals (polyominoes) and polygons

I. Jensen, A. Guttmann, 2000, cond-mat/0007238.

Scaling function for self-avoiding polygons

I. Jensen, A. Guttmann, C. Richard, 2003, cond-mat/0302513.

Self-avoiding polygons on the square lattice

I. Jensen, A. Guttmann, 1999, cond-mat/9905291.

Self-avoiding walks crossing a square

I. Jensen, A. Guttmann, M. Bousquet-M'elou, 2005, cond-mat/0506341.

The converging shock wave from a spherical or cylindrical piston

M. V. Dyke, A. Guttmann, 1982, Journal of Fluid Mechanics.

Polygons, Polyominoes and Polycubes

Anthony J. Guttmann, A. Guttmann, 2009 .

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

I. Enting, A. Guttmann, 1990 .

THREE-DIMENSIONAL SELF-AVOIDING CONVEX POLYGONS

Anthony J. Guttmann, Mireille Bousquet-Mélou, A. Guttmann, 1997 .

Low-temperature 2D polymer partition function scaling: series analysis results

A. Guttmann, A. Owczarek, T. Prellberg, 1994 .

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

A. Guttmann, 1987 .

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

J. Cardy, I. Enting, A. Guttmann, 1998, cond-mat/9805146.

ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS

A. Guttmann, A. Owczarek, T. Prellberg, 1993 .

Universal distance ratios for 2D SAWs: series results

A. Guttmann, Yang Yang, 1990 .

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

A. Guttmann, J. Maillard, 2015, 1507.02872.

Algebraic approximants: a new method of series analysis

Anthony J. Guttmann, Richard Brak, A. Guttmann, 1990 .

Determination of critical behaviour in lattice statistics from series expansions

C. Thompson, B. Ninham, A. Guttmann, 1968 .

Series expansions of the percolation probability for directed square and honeycomb lattices

I. Jensen, A. Guttmann, 1995, cond-mat/9509121.

Polygons on the honeycomb lattice

I. Enting, A. Guttmann, 1989 .

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

I. Jensen, A. Guttmann, 1998 .

On the existence of critical exponents for self-avoiding walks

I. Jensen, A. Guttmann, 2022, 2207.08433.

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

A. Guttmann, A. Conway, 1992, hep-lat/9211063.

Self-avoiding rings on the triangular lattice

I. Enting, A. Guttmann, 1992 .

Critical behaviour at an edge for the SAW and Ising model

G. Torrie, A. Guttmann, 1984 .

History and Introduction to Polygon Models and Polyominoes

A. Guttmann, 2009 .

Series analysis

I. Jensen, A. Guttmann, 2008 .

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

A. Guttmann, M. Glasser, 1994, cond-mat/9408097.

FUCHSIAN DIFFERENTIAL EQUATION FOR THE PERIMETER GENERATING FUNCTION OF THREE-CHOICE POLYGONS

I. Jensen, A. Guttmann, 2005, math/0506317.

Self-avoiding polygons on the square lattice

I. Jensen, A. Guttmann, 1999, cond-mat/9905291.

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

I. Jensen, A. Guttmann, J. Pantone, 2016, 1607.04168.

Area Distribution and Scaling Function for Punctured Polygons

I. Jensen, A. Guttmann, C. Richard, 2007, Electron. J. Comb..

Series expansions of the percolation probability on the directed triangular lattice

I. Jensen, A. Guttmann, 1995, cond-mat/9511084.

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

C. Krattenthaler, X. Viennot, A. Guttmann, 2000, cond-mat/0006367.

Diffusion on self-avoiding walk networks

S. S. Manna, A. Guttmann, A. Roy, 1989 .

Limiting ring closure probability index for the self avoiding random walk problem

A. Guttmann, M. Sykes, 1973 .

Self-avoiding walks and polygons on quasiperiodic tilings

A. Guttmann, C. Richard, A. N. Rogers, 2003, cond-mat/0302414.

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

Statistics, A. J. Guttmann, Jensen, 1998, cond-mat/9801305.

The Potts model on Kagomé and honeycomb lattices

I. Enting, I. Jensen, A. Guttmann, 1997 .

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

I. Enting, I. Jensen, A. Guttmann, 1996, cond-mat/9604080.

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

I. Jensen, A. Guttmann, 1996, cond-mat/9604079.

Ising model susceptibility amplitudes. II. Three-dimensional lattices

A. Guttmann, 1975 .

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

D. Gaunt, I. Enting, S. Whittington, 1998, cond-mat/9803359.

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

I. Enting, A. Guttmann, K. Briggs, 1993, hep-lat/9312082.

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

G. Torrie, D. Gaunt, S. Whittington, 1982 .

History and introduction to polygon models , polyominoes and polyhedra

A. Guttmann, 2022 .

Vicious Walkers, Friendly Walkers, and Young Tableaux. III. Between Two Walls

C. Krattenthaler, X. Viennot, A. Guttmann, 2002, cond-mat/0202276.

On the existence of critical exponents for self-avoiding walks

I. Jensen, A. Guttmann, 2022, Journal of Physics A: Mathematical and Theoretical.

Scaling function for self-avoiding polygons

I. Jensen, A. Guttmann, C. Richard, 2003, cond-mat/0302513.

LETTER TO THE EDITOR: Scaling function and universal amplitude combinations for self-avoiding polygons

I. Jensen, A. Guttmann, C. Richard, 2001, cond-mat/0107329.

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

Statistics, Jensen, A. Guttmann, 1998, cond-mat/9801305.

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

I. Enting, A. Guttmann, 1993, hep-lat/9312083.

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

P. Butera, A. Guttmann, M. Comi, 2003, hep-lat/0302010.

Polyominoes with nearly convex columns: An undirected model

A. Guttmann, S. Feretic, 2009, 0910.4791.

Inversion relations, reciprocity and polyominoes

A. Guttmann, M. Bousquet-Mélou, A. Rechnitzer, 1999, math/9908123.

A collapse transition in a directed walk model

S. Whittington, A. Guttmann, R. Brak, 1992 .

On the behaviour of collapsing linear and branched polymers

S. Whittington, A. Guttmann, R. Brak, 1991 .

On the area of square lattice polygons

I. Enting, A. Guttmann, 1990 .

Ising model amplitudes and extended lattice-lattice scaling

A. Guttmann, 1977 .

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

G. Torrie, S. Whittington, A. Guttmann, 1979 .

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

S. Caracciolo, A. Sokal, I. Jensen, 2004, cond-mat/0409355.

Self-avoiding walks and trails on the 3.122 lattice

A. Guttmann, R. Parviainen, A. Rechnitzer, 2004, cond-mat/0410241.

Determination of Critical Behavior in Lattice Statistics from Series Expansions. I

Anthony J. Guttmann, Colin J. Thompson, Barry W. Ninham, 1968 .

The critical fugacity for surface adsorption of SAW on the honeycomb lattice is $1+\sqrt{2}$

A. Guttmann, J. Gier, N. R. Beaton, 2011 .

Critical exponents of plane meanders

I. Jensen, A. Guttmann, 2000, cond-mat/0004321.

Analysis of experimental specific heat data near the critical temperature. II. Analysis of DAG, MnCl2.4H2O, GdVO4 and GdAlO3

A. Guttmann, 1975 .

Self-avoiding walks in a rectangle

T. Kennedy, A. Guttmann, 2013, Journal of Engineering Mathematics.

Self-avoiding walks crossing a square

I. Jensen, A. Guttmann, M. Bousquet-M'elou, 2005, cond-mat/0506341.

Bounds on self-avoiding walks on directed square lattices

Anthony J. Guttmann, A. Guttmann, 1983 .

The asymptotic behaviour of selfavoiding walks and returns on a lattice

Anthony J. Guttmann, A. Guttmann, M. Sykes, 1972 .

Square Lattice Self-Avoiding Walks and Polygons

Andrew R. Conway, Anthony J. Guttmann, A. Guttmann, 2001 .

On the zero-field susceptibility in the d=4, n=0 limit: analysing for confluent logarithmic singularities

Anthony J. Guttmann, A. Guttmann, 1978 .

Two-dimensional lattice embeddings of connected graphs of cyclomatic index two

S. Whittington, A. Guttmann, 1978 .

Self-avoiding walks in a slab of finite thickness: a model of steric stabilisation

S. Whittington, A. Guttmann, 1978 .

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

A. Sokal, A. Guttmann, T. Osborn, 1986 .

Asymptotic behavior of the mean‐square lengths of self‐avoiding walks terminally attached to a surface

G. Torrie, S. Whittington, A. Guttmann, 1978 .

Lattice trails. II. Numerical results

A. Guttmann, 1985 .

The surface susceptibility exponent for the polymer problem

G. Torrie, S. Whittington, A. Guttmann, 1980 .

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

G. Torrie, M. N. Barber, S. Whittington, 1978 .

The size and number of rings on the square lattice

Anthony J. Guttmann, Ian G. Enting, I. Enting, 1988 .

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

Anthony J. Guttmann, Ian G. Enting, I. Enting, 1985 .

Low-temperature series for the Ising model

Anthony J. Guttmann, C. Domb, A. Guttmann, 1970 .

Statistical Mechanics of Confined Polymer Networks

A. Guttmann, B. Duplantier, 2020, Journal of Statistical Physics.

Statistical Mechanics of Confined Polymer Networks

A. Guttmann, B. Duplantier, 2020, Journal of Statistical Physics.

On self-repelling walks

Anthony J. Guttmann, A. Guttmann, C Byrnes, 1984 .

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

Anthony J. Guttmann, A. Guttmann, 2005 .

Poland–Scheraga Models and the DNA Denaturation Transition

A. Guttmann, C. Richard, Christoph Richard, 2003, cond-mat/0302514.

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

A. Guttmann, J. Reeve, 1981 .

Critical behaviour of the n-vector model with a free surface

A. Guttmann, J. Reeve, 1980 .

Modeling force-induced bio-polymer unfolding

I. Jensen, A. Guttmann, Sanjay Kumar, 2007, 0711.3482.

Effect of Confinement: Polygons in Strips, Slabs and Rectangles

Anthony J. Guttmann, Iwan Jensen, I. Jensen, 2009 .

Role of conformational entropy in force-induced biopolymer unfolding.

I. Jensen, A. Guttmann, Sanjay Kumar, 2007, Physical review letters.

Self-avoiding walks and polygons on non-Euclidean lattices

A. Guttmann, Ewa Swierczak, 1996 .

Enumeration of Almost-Convex Polygons on the Square Lattice

Nicholas C. Wormald, L. Bruce Richmond, Anthony J. Guttmann, 1992, Random Struct. Algorithms.

New scaling laws for self-avoiding walks: bridges and worms

A. Guttmann, B. Duplantier, 2019, Journal of Statistical Mechanics: Theory and Experiment.

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is 1+2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemarg

H. Duminil-Copin, A. Guttmann, M. Bousquet-Mélou, 2014, Communications in Mathematical Physics.

Pulling adsorbed self-avoiding walks from a surface

I. Jensen, A. Guttmann, S. Whittington, 2013, 1309.7401.

Self-avoiding walks and polygons -- an overview

A. Guttmann, 2012, 1212.3448.

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

I. Jensen, A. Guttmann, N. R. Beaton, 2011, 1110.6695.

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is $${1+\sqrt{2}}$$1+2

H. Duminil-Copin, A. Guttmann, J. Gier, 2011, 1109.0358.

On two-dimensional directed percolation

J. W. Essam, A. Guttmann, J. Essam, 1988 .

Three-dimensional terminally attached self-avoiding walks and bridges

N. Clisby, A. Guttmann, A. Conway, 2015, 1504.02085.

On the number of spiral self-avoiding walks

Nicholas C. Wormald, Anthony J. Guttmann, N. Wormald, 1984 .

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

A. Guttmann, C. Scullard, J. Jacobsen, 2016, 1607.02984.

Lattice Green's functions in all dimensions

A. Guttmann, 2010, 1004.1435.

On two-dimensional percolation

Andrew R. Conway, Anthony J. Guttmann, A. Guttmann, 1995 .

Permutations sortable by two stacks in series

Anthony J. Guttmann, Andrew Elvey Price, A. Guttmann, 2015, Adv. Appl. Math..

Stieltjes moment sequences for pattern-avoiding permutations

A. Guttmann, A. Bostan, J. Maillard, 2020, Electron. J. Comb..

On a new method of series analysis in lattice statistics

Anthony J. Guttmann, A. Guttmann, G. Joyce, 1972 .

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

A. Guttmann, J. Jacobsen, 2013, 1306.1299.

Self-avoiding walks in a rectangle

T. Kennedy, A. Guttmann, 2012, 1210.7924.

The geometrical properties of planar lattice trails

S. S. Manna, A. Guttmann, 1989 .

Polygons pulled from an adsorbing surface

I. Jensen, A. Guttmann, E. J. Janse van Rensburg, 2017, 1702.06564.

Oriented Self-Avoiding Walks with Orientation-Dependent Interactions

J. Cardy, A. Guttmann, A. Owczarek, 1995 .

On two-dimensional self-avoiding random walks

Anthony J. Guttmann, A. Guttmann, 1984 .

Susceptibility amplitudes for the three and four state Potts models

Anthony J. Guttmann, Ian G. Enting, I. Enting, 2003 .

A recurrence technique for confluent singularity analysis of power series

A. Guttmann, J. Rehr, G. Joyce, 1980 .

The critical behaviour of two-dimensional isotropic spin systems

A. Guttmann, 1978 .

Percolation theory at the critical dimension

D. Gaunt, A. Guttmann, I. W. Essam, 1978 .

Critical behaviour of an isotropic spin system. I

A. Guttmann, G. Joyce, 1973 .

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

I. Enting, A. Guttmann, 1992, hep-lat/9212032.

A lattice model of superantiferromagnetism

A. Guttmann, 1972 .

Determination of critical behaviour in lattice statistics from series expansions III

Anthony J. Guttmann, A. Guttmann, 1969 .

Series analysis of the two-dimensional step model

A. Guttmann, A. Nymeyer, 1985 .

Series expansions of the percolation probability for directed square and honeycomb lattices

I. Jensen, A. Guttmann, 1995, cond-mat/9509121.

Analysis of experimental specific heat data near the critical temperature. I. Theory

A. Guttmann, 1975 .

Lattice-lattice scaling and the generalized law of corresponding states

A. Guttmann, G. Joyce, D. D. Betts, 1971 .

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

I. Enting, A. Guttmann, Latex, 1994, cond-mat/9411002.

Lattice paths: vicious walkers and friendly walkers

A. Guttmann, M. Vöge, 2002 .

Vicious walkers and Young tableaux I: without walls

Anthony J. Guttmann, Xavier Gérard Viennot, Aleksander L Owczarek, 1998 .

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

A. Guttmann, 1981 .

A generalised form of extended lattice-lattice scaling and its relationship to the scaled equation of state with applications to the Ising model

D. Gaunt, A. Guttmann, 1978 .

Determination of critical behaviour from series expansions in lattice statistics. IV

C. Thompson, B. Ninham, A. Guttmann, 1970 .

Two-dimensional lattice vesicles and polygons

M. Fisher, S. Whittington, A. Guttmann, 1991 .

Area-weighted moments of convex polygons on the square lattice

Anthony J. Guttmann, Ian G. Enting, I. Enting, 1989 .

The square lattice Ising model with a free surface

I. Enting, A. Guttmann, 1980 .

COMMENT: On the number of lattice animals embeddable in the square lattice

A. J. Guttmann, A. Guttmann, 1982 .

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

Andrew R. Conway, Anthony J. Guttmann, A. Guttmann, 1993 .

Why Are So Many Problems Unsolved

A. Guttmann, 2009 .

The analytic structure of lattice models — why can’t we solve most models?

A. Guttmann, 2005 .

On the number of hexagonal polyominoes

Anthony J. Guttmann, Markus Vöge, A. Guttmann, 2003, Theor. Comput. Sci..

On the Number of Benzenoid Hydrocarbons

Anthony J. Guttmann, Markus Vöge, Iwan Jensen, 2002, J. Chem. Inf. Comput. Sci..

Enumerations in statistical mechanics and combinatorics

Anthony J. Guttmann, A. Guttmann, 2001, Comput. Sci. Eng..

Indicators of solvability for lattice models

Anthony J. Guttmann, A. Guttmann, 2000, Discret. Math..

Inversion relations, the ising model and polygons

A. Guttmann, 1997 .

Inversion relations, the Ising model and self-avoiding polygons

I. Enting, A. Guttmann, 1996 .

Percolation with restricted valence

D. S. Gaunt, D. Gaunt, S. Whittington, 1979 .

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

A. Guttmann, J. Jacobsen, 2012 .

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

S. Whittington, A. Guttmann, 1982 .

Series expansion of the percolation probability for the directed square lattice

R. Baxter, A. Guttmann, 1988 .

Longitudinal size exponent for square-lattice directed animals

A. Guttmann, A. Conway, 1994 .

Spanning tree generating functions and Mahler measures

A. Guttmann, Mathew Rogers, 2012, 1207.2815.

Low temperature critical behaviour of the Ising model with spin S>1/2

A. Guttmann, P. Fox, 1973 .

Low temperature critical behaviour of the spin 1 Ising model

A. Guttmann, P. Fox, 1970 .

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

C. Hamer, A. Guttmann, 1989 .

Self-avoiding walks on the simple cubic lattice

Anthony J. Guttmann, Naeem Jan, A. Guttmann, 2000 .

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

A. Guttmann, V. Mangazeev, 2010, 1002.2480.

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

A. Guttmann, J. de Gier, A. Price, 2012, 1203.2959.

1324-avoiding Permutations Revisited

Andrew R. Conway, Anthony J. Guttmann, Paul Zinn-Justin, 2017, Adv. Appl. Math..

On 1324-avoiding permutations

Andrew R. Conway, Anthony J. Guttmann, A. Guttmann, 2015, Adv. Appl. Math..

On the growth rate of 1324-avoiding permutations pdf

Andrew R. Conway, Anthony J. Guttmann, A. Guttmann, 2014, ArXiv.

Analysis of series expansions for non-algebraic singularities

Anthony J Guttmann, A. Guttmann, 2014, 1405.5327.

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

J. Cardy, I. Enting, A. Guttmann, 1998, cond-mat/9805146.

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

J. Cardy, A. Guttmann, 1993, cond-mat/9303035.

On the asymptotic number of lattice animals in bond and site percolation

D. Gaunt, A. Guttmann, 1978 .

The gerrymander sequence, or A348456

I. Jensen, A. Guttmann, 2022, Advances in Applied Mathematics.

On the hulls of directed percolation clusters

A. Guttmann, A. Owczarek, R. Brak, 1997 .

Series expansions for two-dimensional directed percolation

I. Jensen, A. Guttmann, 1996 .

Directed animals on two-dimensional lattices

Andrew R. Conway, Anthony J. Guttmann, Richard Brak, 1993 .

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

C. Thompson, A. Guttmann, Y. S. Yang, 1992 .

Numerical studies of the Hubbard model

C. Thompson, A. Guttmann, Y. S. Yang, 1991 .

Asymptotics of 3-Stack-Sortable Permutations

Colin Defant, Andrew Elvey Price, Anthony J Guttmann, 2020, Electron. J. Comb..

On a square-ice analogue of plane partitions

A. Guttmann, S. Govindarajan, V. Subramanyan, 2016, Annales de l’Institut Henri Poincaré D.

Permutations sortable by deques and by two stacks in parallel

Anthony J. Guttmann, Andrew Elvey Price, A. Guttmann, 2015, Eur. J. Comb..

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

A. Guttmann, 2016, 1604.08254.

Susceptibility amplitudes for the two-dimensional Ising model

A. Guttmann, 1974 .

Compressed self-avoiding walks, bridges and polygons

Anthony J. Guttmann, Nicholas R. Beaton, Gregory F. Lawler, 2015, 1506.00296.

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

I. Jensen, A. Guttmann, B. Nickel, 2008, 0808.0763.

Surface critical behaviour of the Ising model

G. Torrie, S. Whittington, A. Guttmann, 1980 .

Punctured polygons and polyominoes on the square lattice

I. Enting, I. Jensen, A. Guttmann, 2000, cond-mat/0003441.

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

A. Guttmann, 2006 .

The perimeter generating function of punctured staircase polygons

I. Jensen, A. Guttmann, 2006, cond-mat/0603833.

Polygonal polyominoes on the square lattice

I. Jensen, A. Guttmann, A. Owczarek, 2001 .

LETTER TO THE EDITOR: Statistics of lattice animals (polyominoes) and polygons

I. Jensen, A. Guttmann, 2000, cond-mat/0007238.

Scaling prediction for self-avoiding polygons revisited

I. Jensen, A. Guttmann, C. Richard, 2004, cond-mat/0406027.

Exact solution of two planar polygon models

I. Jensen, A. Guttmann, 2006 .

The enumeration of prudent polygons by area and its unusual asymptotics

Philippe Flajolet, Anthony J. Guttmann, Nicholas R. Beaton, 2010, J. Comb. Theory, Ser. A.

A generalised self-avoiding walk

A. Guttmann, N. E. Frankel, C. Byrnes, 1984 .

Low temperature susceptibility exponent for the three dimensional Ising model

C. Thompson, A. Guttmann, 1969 .

A theoretical calculation of X‐ray absorption cross sections

A. Guttmann, H. Wagenfeld, 1967 .

Programming recursively defined functions infortran

Anthony J. Guttmann, A. Guttmann, 1976, International Journal of Computer & Information Sciences.

Self-avoiding polygons — towards an exact solution?

I. Enting, A. Guttmann, 1988 .

The number of convex polygons on the square and honeycomb lattices

Anthony J. Guttmann, Ian G. Enting, I. Enting, 1988 .

On the critical behaviour of self-avoiding walks

Anthony J. Guttmann, A. Guttmann, 1987 .

Two generalizations of column-convex polygons

A. Guttmann, S. Feretic, 2009 .

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

A. Guttmann, 1985 .

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

I. Jensen, A. Guttmann, N. R. Beaton, 2011, 1110.1141.

q-linear approximants: scaling functions for polygon models

A. Guttmann, C. Richard, 2001, cond-mat/0109159.

Fe b 20 03 Scaling function for self-avoiding polygons

I. Jensen, A. Guttmann, C. Richard, 2003 .

Prudent Self-Avoiding Walks

Anthony J. Guttmann, John C. Dethridge, A. Guttmann, 2008, Entropy.

Enumeration of three-dimensional convex polygons

Anthony J. Guttmann, Mireille Bousquet-Mélou, A. Guttmann, 1997 .

The Ising Susceptibility Scaling Function

A. Guttmann, B. Nickel, J. Perk, 2010, 1012.5272.

The Susceptibility of the Square Lattice Ising Model: New Developments

A. Guttmann, B. Nickel, J. Perk, 2001, cond-mat/0103074.

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

A. Guttmann, R. Brak, 1990 .

Exact solution of the row-convex polygon perimeter generating function

Anthony J. Guttmann, Ian G. Enting, Richard Brak, 1990 .

DIRECTED PERCOLATION NEAR A WALL

J. W. Essam, I. Jensen, A. Guttmann, 1996, cond-mat/9602052.

Critical behavior of the two-dimensional Ising susceptibility.

A. Guttmann, B. Nickel, J. Perk, 2000, Physical review letters.

Solvability of some statistical mechanical systems.

Guttmann, I. Enting, A. Guttmann, 1996, Physical review letters.

Counting occurrences of patterns in permutations

A. Guttmann, A. Conway, 2023, ArXiv.

Pattern-Avoiding Ascent Sequences of Length 3

Andrew Elvey Price, Anthony J Guttmann, Andrew R Conway, 2021, Electron. J. Comb..

Classical Length-5 Pattern-Avoiding Permutations

Andrew R. Conway, Anthony J. Guttmann, Yuma Inoue, 2021, Electron. J. Comb..

On the recurrence relation method of series analysis

A. Guttmann, 1975 .

Vicious walkers and directed polymer networks in general dimensions.

Essam, Guttmann, A. Guttmann, 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

On consecutive pattern-avoiding permutations of length 4, 5 and beyond

Andrew R. Conway, Anthony J. Guttmann, Nicholas R. Beaton, 2017, Discret. Math. Theor. Comput. Sci..

Multi‐dimensional summations in FORTRAN

Anthony J. Guttmann, A. Guttmann, 1976, Softw. Pract. Exp..

A Conjectured Integer Sequence Arising From the Exponential Integral

Anthony J. Guttmann, M. L. Glasser, Richard P. Brent, 2018, J. Integer Seq..

Subsonic potential flow past a circle and the transonic controversy

M. V. Dyke, A. Guttmann, 1983, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

High order Fuchsian equations for the square lattice Ising model:

A. J. Guttmann, A. Bostan, I. Jensen, 2009, 0904.1601.

Self-avoiding walks which cross a square

Anthony J. Guttmann, Stuart G. Whittington, S. Whittington, 1990 .

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

I. Enting, I. Jensen, A. Guttmann, 1994, hep-lat/9410005.

A Rationale for the Numerical Differentiation of Experimental Data

A. Guttmann, Robert S. Anderssen, 1975, Inf. Process. Lett..