Prof Thomas Prellberg

Research

lattice statistical mechanics, enumerative and asymptotic combinatorics, dynamical systems, Monte Carlo algorithms, soft condensed matter

Publications

Publications of specific relevance to the Centre for Complex Systems

2024

Improving Convergence of Generalised Rosenbluth Sampling for Branched Polymer Models by Uniform Sampling
Roberts T and Prellberg T
Journal of Physics a: Mathematical and General, Iop Publishing 

DOI 10.1088/1751-8121/ad38ec

QMRO

22-01-2024

2023

Universality class of the special adsorption point of two-dimensional lattice polymers
Rodrigues NT, Oliveira TJ and Prellberg T
Physical Review E, American Physical Society (Aps) vol. 108 (2) 

DOI 10.1103/physreve.108.024146

QMRO

01-08-2023

On the universality class of the special adsorption point of two-dimensional lattice polymers
Rodrigues NT, Oliveira TJ and Prellberg T
 

DOI 10.48550/arxiv.2305.09803

QMRO

16-05-2023

2021

Skew Schur function representation of directed paths in a slit
Khalid A and Prellberg T
Journal of Combinatorics, International Press of Boston vol. 12 (4), 571-588.  

DOI 10.4310/joc.2021.v12.n4.a3

QMRO

01-01-2021

2020

Multicritical scaling in a lattice model of vesicles
Haug N and Prellberg T
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 53 (26) 

DOI 10.1088/1751-8121/ab9276

QMRO

10-06-2020

2019

Adsorption of two-dimensional polymers with two- and three-body self-interactions
Rodrigues NT, Oliveira TJ, Prellberg T and Owczarek AL
Physical Review E, American Physical Society 

DOI 10.1103/PhysRevE.100.062504

QMRO

27-12-2019

Adsorption of interacting self-avoiding trails in two dimensions
Rodrigues NT, Prellberg T and Owczarek AL
Physical Review E 

DOI 10.1103/PhysRevE.100.022121

QMRO

15-08-2019

Skew Schur Function Representation of Directed Paths in a Slit
Khalid A and Prellberg T
 

QMRO

23-07-2019

Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers
Khalid A and Prellberg T
 
09-07-2019

Phase transitions in solvent dependent polymer adsorption in three dimensions
Bradly CJ, Owczarek AL and Prellberg T
Physical Review E, American Physical Society 

DOI 10.1103/PhysRevE.99.062113

QMRO

13-06-2019

Exact solution of pulled, directed vesicles with sticky walls in two dimensions
Owczarek A and Prellberg T
Journal of Mathematical Physics, Aip Publishing 

DOI 10.1063/1.5083149

QMRO

21-03-2019

2018

Adsorption of neighbor-avoiding walks on the simple cubic lattice
Bradly CJ, Owczarek AL and Prellberg T
Physical Review E vol. 98 (6) 

DOI 10.1103/PhysRevE.98.062141

QMRO

27-12-2018

Universality of crossover scaling for the adsorption transition of lattice polymers
Bradly CJ, Owczarek AL and Prellberg T
Physical Review E, American Physical Society 

DOI 10.1103/PhysRevE.97.022503

QMRO

16-02-2018

Anomalous polymer collapse winding angle distributions
Narros A, Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical, Iop Publishing 

DOI 10.1088/1751-8121/aaabc8

QMRO

15-02-2018

2017

Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares
Oliveira TJ, Dantas WG, Prellberg T and Stilck JÜF
Journal of Physics a: Mathematical and Theoretical, Iop Publishing 

DOI 10.1088/1751-8121/aa9e0b

QMRO

29-11-2017

Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality
Dagrosa E, Owczarek AL and Prellberg T
Jstat 

DOI 10.1088/1742-5468/aa8c2d

QMRO

26-10-2017

Writhe induced phase transition in unknotted self-avoiding polygons
Dagrosa E, Owczarek AL and Prellberg T
Journal of Statistical Mechanics: Theory and Experiment, Iop Publishing 

DOI 10.1088/1742-5468/aa85b9

QMRO

21-09-2017

Area-width scaling in generalised Motzkin paths
Haug N, Prellberg T and Siudem G
Physica a: Statistical Mechanics and Its Applications, Elsevier 

DOI 10.1016/j.physa.2017.04.151

QMRO

08-05-2017

Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice
Dantas WG, Oliveira TJ, Stilck JF and Prellberg T
Physical Review E, Sage Publications 

DOI 10.1103/PhysRevE.95.022132

QMRO

24-02-2017

Self-attracting polymers in two dimensions with three low-temperature phases
Bedini A, Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical 

DOI 10.1088/1751-8121/aa57a6

QMRO

30-01-2017

Higher-order Airy scaling in deformed Dyck paths
Haug N, Daalhuis AO and Prellberg T
Journal of Statistical Physics, Springer Verlag (Germany) 

DOI 10.1007/s10955-016-1708-4

QMRO

03-01-2017

2016

The role of three-body interactions in two-dimensional polymer collapse
Bedini A, Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical, Iop Publishing: Hybrid Open Access vol. 49 (21) 

DOI 10.1088/1751-8113/49/21/214001

20-04-2016

Forces and pressures in adsorbing partially directed walks
Rensburg EJJV and Prellberg T
Journal of Physics a: Mathematical and Theoretical vol. 49 (20), 205001-205001.  

DOI 10.1088/1751-8113/49/20/205001

QMRO

18-04-2016

Winding angle distributions for two-dimensional collapsing polymers
Narros A, Owczarek AL and Prellberg T
Journal of Physics Conference Series, Iop Publishing vol. 686 (1) 

DOI 10.1088/1742-6596/686/1/012007

QMRO

01-01-2016

2015

A semi-flexible attracting-segment model of three-dimensional polymer collapse
Krawczyk J, Owczarek AL and Prellberg T
Physica a: Statistical Mechanics and Its Applications vol. 431, 74-83.  

DOI 10.1016/j.physa.2015.03.003

01-08-2015

Uniform asymptotics of area-weighted Dyck paths
Haug N and Prellberg T
Journal of Mathematical Physics, Aip Publishing vol. 56 (4) 

DOI 10.1063/1.4917052

QMRO

01-04-2015

2014

Writhe-induced knotting in a lattice polymer
Dagrosa E, Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/48/6/065002

22-10-2014

On the Number of Walks in a Triangular Domain
Mortimer PRG and Prellberg T
 

DOI 10.37236/4125

18-02-2014

2013

Pressure exerted by a vesicle on a surface
Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/47/21/215001

09-11-2013

Lattice polymers with two competing collapse interactions
Bedini A, Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/47/14/145002

05-11-2013

Semi-flexible interacting self-avoiding trails on the square lattice
Bedini A, Owczarek AL and Prellberg T
Physica a: Statistical Mechanics and Its Applications, Elsevier/Science Direct vol. 392 (7), 1602-1610.  

DOI 10.1016/j.physa.2012.12.019

01-04-2013

2012

Numerical simulation of a lattice polymer model at its integrable point
Bedini A, Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/46/26/265003

01-11-2012

Semi-flexible interacting self-avoiding trails on the square lattice
Bedini A, Owczarek AL and Prellberg T
Issue vol. 7 

DOI 10.1016/j.physa.2012.12.019

30-10-2012

Self-avoiding trails with nearest neighbour interactions on the square lattice
Bedini A, Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/46/8/085001

26-10-2012

Weighting of topologically different interactions in a model of two-dimensional polymer collapse
Bedini A, Owczarek AL and Prellberg T
Phys. Rev. E vol. 87 

DOI 10.1103/PhysRevE.87.012142

26-10-2012

The pressure exerted by adsorbing directed lattice paths and staircase polygons
Rensburg EJJV and Prellberg T
 

DOI 10.1088/1751-8113/46/11/115202

09-10-2012

The combinatorics of the leading root of the partial theta function
Prellberg T
 
29-09-2012

Rare event sampling with stochastic growth algorithms
Prellberg T
 

DOI 10.1051/epjconf/20134401001

11-09-2012

A Bijection on Bilateral Dyck Paths
Mortimer PRG and Prellberg T
, 1-10.  
15-08-2012

Exact power spectra of Brownian motion with solid friction
Touchette H, Prellberg T and Just W
J. Phys. a: Math. Theor. 45, 395002, 2012 vol. 45 (39) 

DOI 10.1088/1751-8113/45/39/395002

QMRO

18-05-2012

From Rosenbluth Sampling to PERM - rare event sampling with stochastic growth algorithms
Prellberg T
 
16-05-2012

2011

Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation
Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/45/39/395001

14-11-2011

Anomalous critical behaviour in the polymer collapse transition of three-dimensional lattice trails
Bedini A, Owczarek AL and Prellberg T
Phys. Rev. E vol. 86 

DOI 10.1103/PhysRevE.86.011123

11-11-2011

An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths
Brak R, Iliev GK and Prellberg T
Journal of Statistical Physics vol. 145 (3), 669-685.  

DOI 10.1007/s10955-011-0306-8

01-11-2011

An infinite family of adsorption models and restricted Lukasiewicz paths
Brak R, Iliev GK and Prellberg T
 

DOI 10.1007/s10955-011-0306-8

02-05-2011

Counting the number of elements in the mutation classes of (A)over-tilde(n)-quivers
Bastian J, Prellberg T, Rubey M and Stump C
Electron J Comb vol. 18 (1) 
29-04-2011

2010

Exact solution of the discrete (1+1)-dimensional RSOS model in a slit with field and wall interactions
Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical vol. 43 (37) 

DOI 10.1088/1751-8113/43/37/375004

01-09-2010

Forcing Adsorption of a Tethered Polymer by Pulling
Osborn J-A and Prellberg T
 

DOI 10.1088/1742-5468/2010/09/P09018

19-07-2010

A semi-flexible attracting segment model of two-dimensional polymer collapse
Krawczyk J, Owczarek AL and Prellberg T
Physica A vol. 389 (8), 1619-1624.  

DOI 10.1016/j.physa.2009.12.012

15-04-2010

Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers
Doukas J, Owczarek AL and Prellberg T
 

DOI 10.1103/PhysRevE.82.031103

13-04-2010

Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit with Field and Wall Interactions
Owczarek AL and Prellberg T
 

DOI 10.1088/1751-8113/43/37/375004

10-04-2010

Enumeration of area-weighed Dyck paths with restricted height
Owczarek AL and Prellberg T
 
10-04-2010

A simple model of a vesicle drop in a confined geometry
Owczarek AL and Prellberg T
 

DOI 10.1088/1742-5468/2010/08/P08015

08-04-2010

Asymptotic enumeration of 2-covers and line graphs
Cameron P, Prellberg T and Stark D
DISCRETE MATHEMATICS. vol. 310 (2), 230-240.  

DOI 10.1016/j.disc.2008.09.008

28-01-2010

2009

Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions
Owczarek AL and Prellberg T
J Phys a-Math Theor vol. 42 (49) 

DOI 10.1088/1751-8113/42/49/495003

11-12-2009

Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions
Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical vol. 42 (49) 

DOI 10.1088/1751-8113/42/49/495003

01-12-2009

Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point
Bandtlow OF, Fiala J, Kleban P and Prellberg T
 

DOI 10.1007/s10955-009-9900-4

15-09-2009

Counting the number of elements in the mutation classes of \tilde{A}_n-quivers
Bastian J, Prellberg T, Rubey M and Stump C
Electron. J. Combin. 18 (2011), No. 1, P98 
02-06-2009

A note on the distribution of the maximum of a set of Poisson random variables
Briggs KM, Song L and Prellberg T
 
25-03-2009

A self-interacting partially directed walk subject to a force
Brak R, Dyke P, Lee J, Owczarek AL, Prellberg T, Rechnitzer A and Whittington SG
J Phys a-Math Theor vol. 42 (8) 

DOI 10.1088/1751-8113/42/8/085001

27-02-2009

Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers
Krawczyk J, Owczarek AL and Prellberg T
Physica A vol. 388 (2-3), 104-112.  

DOI 10.1016/j.physa.2008.10.005

15-01-2009

2008

Matrix Ansatz, lattice paths and rook placements
Corteel S, Josuat-Verges M, Prellberg T and Rubey M
Dmtcs Proceedings, 21st International Conference on Formal Power Series and Algebraic Combinatorics (Fpsac 2009), 313--324 
27-11-2008

Scaling of the atmosphere of self-avoiding walks
Owczarek AL and Prellberg T
J Phys a-Math Theor vol. 41 (37) 

DOI 10.1088/1751-8113/41/37/375004

19-09-2008

Counting defective parking functions
Cameron PJ, Johannsen D, Prellberg T and Schweitzer P
Electron J Comb vol. 15 

DOI 10.37236/816

14-07-2008

Polymers with self-attraction and stiffness: a generic phase structure
Krawczyk J, Owczarek AL and Prellberg T
 

DOI 10.48550/arxiv.0807.1395

09-07-2008

Decoding generalised hyperoctahedral groups and asymptotic analysis of correctible error patterns
Bailey RF and Prellberg T
 
02-07-2008

Partially directed paths in a wedge
van Rensburg EJJ, Prellberg T and Rechnitzer A
J Comb Theory A vol. 115 (4), 623-650.  

DOI 10.1016/j.jcta.2007.08.003

01-05-2008

Finite-size scaling functions for directed polymers confined between attracting walls
Owczarek AL, Prellberg T and Rechnitzer A
J Phys a-Math Theor vol. 41 (3) 

DOI 10.1088/1751-8113/41/3/035002

25-01-2008

2007

Partially directed paths in a symmetric wedge
Van Rensburg EJJ, Prellberg T and Rechnitzer A
Fpsac'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics 
01-12-2007

Directed paths in a wedge
van Rensburg EJJ, Prellberg T and Rechnitzer A
J Phys a-Math Theor vol. 40 (47), 14069-14084.  

DOI 10.1088/1751-8113/40/47/003

23-11-2007

On the location of the surface-attached globule phase in collapsing polymers
Owczarek AL, Rechnitzer A, Krawczyk J and Prellberg T
J Phys a-Math Theor vol. 40 (44), 13257-13267.  

DOI 10.1088/1751-8113/40/44/007

02-11-2007

Exact solution of semi-flexible and super-flexible interacting partially directed walks
Owczarek AL and Prellberg T
J Stat Mech-Theory E (11) 

DOI 10.1088/1742-5468/2007/11/P11010

01-11-2007

The competition of hydrogen-like and isotropic interactions on polymer collapse
Krawczyk J, Owczarek AL and Prellberg T
J Stat Mech-Theory E (9) 

DOI 10.1088/1742-5468/2007/09/P09016

01-09-2007

Controlling Secondary Structures of Bio-Polymers with Hydrogen-Like Bonding
Krawczyk J, Owczarek AL, Prellberg T and Rechnitzer A
 

DOI 10.1103/PhysRevE.76.051904

12-06-2007

Collapse transition of self-avoiding trails on the square lattice
Owczarek AL and Prellberg T
Physica A vol. 373, 433-438.  

DOI 10.1016/j.physa.2006.06.012

01-01-2007

2006

Asymptotics for incidence matrix classes
Cameron P, Prellberg T and Stark D
Electron J Comb vol. 13 (1) 

DOI 10.37236/1111

12-10-2006

Partially directed paths in a wedge
Rensburg EJJV, Prellberg T and Rechnitzer A
 

DOI 10.1016/j.jcta.2007.08.003

29-09-2006

Self-avoiding random walk with multiple site weightings and restrictions
Krawczyk J, Prellberg T, Owczarek AL and Rechnitzer A
Phys Rev Lett vol. 96 (24) 

DOI 10.1103/PhysRevLett.96.240603

23-06-2006

Cluster approximation for the Farey fraction spin chain
Prellberg T, Fiala J and Kleban P
J Stat Phys vol. 123 (2), 455-471.  

DOI 10.1007/s10955-006-9034-x

01-04-2006

Asymptotic enumeration of incidence matrices
Cameron P, Prellberg T and Stark D
International Workshop on Statistical Mechanics and Combinatorics: Counting Complexity. vol. 42, 59-70. Editors: DeGier J and Warnaar O. 

DOI 10.1088/1742-6596/42/1/007

01-01-2006

Polymer Simulations with a flat histogram stochastic growth algorithm
Prellberg T, Krawczyk J and Rechnitzer A
Computer Simulation Studies in Condensed-Matter Physics XVI. vol. 103, 122-135. Editors: Landau DP, Lewis SP and Schuttler HB. 
01-01-2006

2005

Layering transitions for adsorbing polymers in poor solvents
Krawczyk J, Owczarek AL, Prellberg T and Rechnitzer A
Europhys Lett vol. 70 (6), 726-732.  

DOI 10.1209/epl/i2004-10524-7

01-06-2005

Pulling absorbing and collapsing polymers from a surface
Krawczyk J, Owczarek AL, Prellberg T and Rechnitzer A
J Stat Mech-Theory E 

DOI 10.1088/1742-5468/2005/05/P05008

01-05-2005

2004

Stretching of a chain polymer adsorbed at a surface
Krawczyk J, Prellberg T, Owczarek AL and Rechnitzer A
J Stat Mech-Theory E 

DOI 10.1088/1742-5468/2004/10/P10004

01-10-2004

2003

Flat histogram PERM
Prellberg T and Krawczyk J
 

DOI 10.1103/PhysRevLett.92.120602

10-12-2003

Proof of a monotonicity conjecture
Prellberg T and Stanton D
J Comb Theory A vol. 103 (2), 377-381.  

DOI 10.1016/S0097-3165(03)00056-6

01-08-2003

Monte carlo investigation of lattice models of polymer collapse in five dimensions
Owczarek AL and Prellberg T
Int J Mod Phys C vol. 14 (5), 621-633.  

DOI 10.1142/S0129183103004802

01-06-2003

Towards a complete determination of the spectrum of a transfer operator associated with intermittency
Prellberg T
J Phys a-Math Gen vol. 36 (10), 2455-2461.  

DOI 10.1088/0305-4470/36/10/306

14-03-2003

Scaling near the theta point for isolated polymers in solution
Owczarek AL and Prellberg T
Phys Rev E vol. 67 (3) 

DOI 10.1103/PhysRevE.67.032801

01-03-2003

Polymer collapse in high dimensions: Monte Carlo simulation of lattice models
Prellberg T and Owczarek AL
COMPUTER SIMULATION STUDIES IN CONDENSED-MATTER PHYSCIS XVI. vol. 95, 147-151. Editors: Landau DP, Lewis SP and Schuttler HB. 

DOI 10.1007/978-3-642-59293-5_21

01-01-2003

Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators
Berg S, Prellberg T and Johannsmann D
Rev Sci Instrum vol. 74 (1), 118-126.  

DOI 10.1063/1.1523647

01-01-2003

2002

Comment on `Stretched polymers in a poor solvent'
Owczarek AL and Prellberg T
 
19-11-2002

Pseudo-first-order transition in interacting self-avoiding walks and trails
Prellberg T and Owczarek AL
Computer Physics Communications vol. 147 (1-2), 629-632.  

DOI 10.1016/S0010-4655(02)00352-1

01-08-2002

2001

Scaling of self-avoiding walks and self-avoiding trails in three dimensions
Prellberg T
J Phys a-Math Gen vol. 34 (43), L599-L602.  

DOI 10.1088/0305-4470/34/43/102

02-11-2001

Four-dimensional polymer collapse II: interacting self-avoiding trails
Prellberg T and Owczarek AL
Physica A vol. 297 (3-4), 275-290.  

DOI 10.1016/S0378-4371(01)00241-2

15-08-2001

Scaling of self-avoiding walks in high dimensions
Owczarek AL and Prellberg T
J Phys a-Math Gen vol. 34 (29), 5773-5780.  

DOI 10.1088/0305-4470/34/29/303

27-07-2001

On the Asymptotics of Takeuchi Numbers
Prellberg T
In Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, Springer Nature 231-242.  

DOI 10.1007/978-1-4613-0257-5_14

01-01-2001

2000

Four-dimensional polymer collapse: pseudo-first-order transition in interacting self-avoiding walks.
Prellberg T and Owczarek AL
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 62 (3 Pt B), 3780-3789.  

DOI 10.1103/physreve.62.3780

01-09-2000

First-order scaling near a second-order phase transition: Tricritical polymer collapse
Owczarek AL and Prellberg T
Europhys Lett vol. 51 (6), 602-607.  

DOI 10.1209/epl/i2000-00380-5

01-09-2000

On the Asymptotics of Takeuchi Numbers
Prellberg T
 
01-05-2000

1999

Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops
Marchetti MC, Middleton AA and Prellberg T
Physical Review Letters vol. 85, 1104-1107.  

DOI 10.1103/PhysRevLett.85.1104

27-12-1999

On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles
Prellberg T and Owczarek AL
Commun Math Phys vol. 201 (3), 493-505.  

DOI 10.1007/s002200050565

01-04-1999

1998

Existence of four-dimensional polymer collapse I. Kinetic growth trails
Owczarek AL and Prellberg T
Physica A vol. 260 (1-2), 20-30.  

DOI 10.1016/S0378-4371(98)00286-6

01-11-1998

Dynamics of a single particle in a horizontally shaken box
Drossel B and Prellberg T
Eur Phys J B vol. 1 (4), 533-543.  

DOI 10.1007/s100510050216

01-02-1998

Winding angles for two-dimensional polymers with orientation-dependent interactions
Prellberg T and Drossel B
Phys Rev E vol. 57 (2), 2045-2052.  

DOI 10.1103/PhysRevE.57.2045

01-02-1998

Winding-angle distribution for two-dimensional polymers at the theta-point
Prellberg T and Drossel B
PHYSICA A. vol. 249 (1-4), 337-341.  

DOI 10.1016/S0378-4371(97)00487-1

01-02-1998

1997

The statistical mechanics of vesicles
Prellberg T
Math Comput Model vol. 26 (8-10), 321-321.  

DOI 10.1016/S0895-7177(97)00217-3

01-10-1997

1995

STACKING MODELS OF VESICLES AND COMPACT CLUSTERS
PRELLBERG T and OWCZAREK AL
J Stat Phys vol. 80 (3-4), 755-779.  

DOI 10.1007/BF02178553

01-08-1995

THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONS
OWCZAREK AL and PRELLBERG T
J Stat Phys vol. 79 (5-6), 951-967.  

DOI 10.1007/BF02181210

01-06-1995

RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL
GUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D and PRELLBERG T
NUCLEAR PHYSICS B., 911-913.  

DOI 10.1016/0920-5632(95)00419-A

01-04-1995

UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS
PRELLBERG T
J Phys a-Math Gen vol. 28 (5), 1289-1304.  

DOI 10.1088/0305-4470/28/5/016

07-03-1995

Models of polymer collapse in three dimensions: Evidence from kinetic growth simulations.
Prellberg T and Owczarek AL
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 51 (3), 2142-2149.  

DOI 10.1103/physreve.51.2142

01-03-1995

CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS
PRELLBERG T and BRAK R
J Stat Phys vol. 78 (3-4), 701-730.  

DOI 10.1007/BF02183685

01-02-1995

1994

UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS
OWCZAREK AL, PRELLBERG T, BENNETTWOOD D and GUTTMANN AJ
J Phys a-Math Gen vol. 27 (24), L919-L925.  

DOI 10.1088/0305-4470/27/24/003

21-12-1994

EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES
BRAK R, OWCZAREK AL and PRELLBERG T
J Stat Phys vol. 76 (5-6), 1101-1128.  

DOI 10.1007/BF02187057

01-09-1994

CROSSOVER IN SMART KINETIC GROWTH WALKS
BENNETTWOOD D, OWCZAREK AL and PRELLBERG T
Physica A vol. 206 (3-4), 283-288.  

DOI 10.1016/0378-4371(94)90307-7

15-05-1994

INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE
OWCZAREK AL and PRELLBERG T
PHYSICA A. vol. 205 (1-3), 203-213.  

DOI 10.1016/0378-4371(94)90501-0

01-04-1994

MANHATTAN LATTICE THETA-POINT EXPONENTS FROM KINETIC GROWTH WALKS AND EXACT RESULTS FROM THE NIENHUIS O(N) MODEL
PRELLBERG T and OWCZAREK AL
J Phys a-Math Gen vol. 27 (6), 1811-1826.  

DOI 10.1088/0305-4470/27/6/009

21-03-1994

LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS
BENNETTWOOD D, BRAK R, GUTTMANN AJ, OWCZAREK AL and PRELLBERG T
J Phys a-Math Gen vol. 27 (2), L1-L8.  

DOI 10.1088/0305-4470/27/2/001

21-01-1994

1993

Owczarek, Prellberg, and Brak reply.
Owczarek AL, Prellberg T and Brak R
Phys Rev Lett vol. 71 (25) 

DOI 10.1103/PhysRevLett.71.4275

20-12-1993

EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY
OWCZAREK AL, PRELLBERG T and BRAK R
Phys Rev Lett vol. 71 (25), 4275-4275.  

DOI 10.1103/PhysRevLett.71.4275

20-12-1993

ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS
GUTTMANN AJ, PRELLBERG T and OWCZAREK AL
J Phys a-Math Gen vol. 26 (23), 6615-6623.  

DOI 10.1088/0305-4470/26/23/012

07-12-1993

Finite-length scaling of collapsing directed walks.
Prellberg T, Owczarek AL, Brak R and Guttmann AJ
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 48 (4), 2386-2396.  

DOI 10.1103/physreve.48.2386

01-10-1993

A SCALING THEORY OF THE COLLAPSE TRANSITION IN GEOMETRIC CLUSTER-MODELS OF POLYMERS AND VESICLES
BRAK R, OWCZAREK AL and PRELLBERG T
J Phys a-Math Gen vol. 26 (18), 4565-4579.  

DOI 10.1088/0305-4470/26/18/022

21-09-1993

THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS
OWCZAREK AL, PRELLBERG T and BRAK R
J Stat Phys vol. 72 (3-4), 737-772.  

DOI 10.1007/BF01048031

01-08-1993

Staircase polygons, elliptic integrals, Heun functions, and lattice Green functions.
Guttmann AJ and Prellberg T
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 47 (4), R2233-R2236.  

DOI 10.1103/physreve.47.r2233

01-04-1993

EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS
OWCZAREK AL and PRELLBERG T
J Stat Phys vol. 70 (5-6), 1175-1194.  

DOI 10.1007/BF01049427

01-03-1993

New scaling form for the collapsed polymer phase.
Owczarek AL, Prellberg T and Brak R
Phys Rev Lett vol. 70 (7), 951-953.  

DOI 10.1103/PhysRevLett.70.951

15-02-1993

1992

MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS
PRELLBERG T and SLAWNY J
J Stat Phys vol. 66 (1-2), 503-514.  

DOI 10.1007/BF01060077

01-01-1992

1989

NO-3-IN-LINE FOR 17 AND 19
HARBORTH H, OERTEL P and PRELLBERG T
Discrete Math vol. 73 (1-2), 89-90.  

DOI 10.1016/0012-365x(88)90135-5

01-01-1989

1988

No-three-in-line for seventeen and nineteen
Harborth H, Oertel P and Prellberg T
Discrete Mathematics vol. 73 (1-2), 89-90.  

DOI 10.1016/0012-365X(88)90135-5

01-01-1988