Skip to main content
Research

Publications: Prof Thomas Prellberg

Haug N, Prellberg T ( 2020 ) . Multicritical scaling in a lattice model of vesicles . Journal of Physics A: Mathematical and Theoretical vol. 53 , ( 26 )
Rodrigues NT, Oliveira TJ, Prellberg T, Owczarek AL ( 2019 ) . Adsorption of two-dimensional polymers with two- and three-body self-interactions . Physical Review E
Rodrigues NT, Prellberg T, Owczarek AL ( 2019 ) . Adsorption of interacting self-avoiding trails in two dimensions . Physical Review E
Khalid A, Prellberg T ( 2019 ) . Skew Schur Function Representation of Directed Paths in a Slit .
Khalid A, Prellberg T ( 2019 ) . Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers .
Bradly CJ, Owczarek AL, Prellberg T ( 2019 ) . Phase transitions in solvent dependent polymer adsorption in three dimensions . Physical Review E
Owczarek A, Prellberg T ( 2019 ) . Exact solution of pulled, directed vesicles with sticky walls in two dimensions . Journal of Mathematical Physics
Bradly CJ, Owczarek AL, Prellberg T ( 2018 ) . Adsorption of neighbor-avoiding walks on the simple cubic lattice . Physical Review E vol. 98 , ( 6 )
Bradly CJ, Owczarek AL, Prellberg T ( 2018 ) . Universality of crossover scaling for the adsorption transition of lattice polymers . Physical Review E
Narros A, Owczarek AL, Prellberg T ( 2018 ) . Anomalous polymer collapse winding angle distributions . Journal of Physics A: Mathematical and Theoretical
PRELLBERG T ( 2018 ) . Dataset: Anomalous polymer collapse winding angle distributions .
Oliveira TJ, Dantas WG, Prellberg T, Stilck JÜF ( 2017 ) . Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares . Journal of Physics A: Mathematical and Theoretical
Dagrosa E, Owczarek AL, Prellberg T ( 2017 ) . Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality . JSTAT
Dagrosa E, Owczarek AL, Prellberg T ( 2017 ) . Writhe induced phase transition in unknotted self-avoiding polygons . Journal of Statistical Mechanics: Theory and Experiment
Haug N, Prellberg T, Siudem G ( 2017 ) . Area-width scaling in generalised Motzkin paths . Physica A: Statistical Mechanics and its Applications
Dantas WG, Oliveira TJ, Stilck JF, Prellberg T ( 2017 ) . Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice . Physical Review E
Bedini A, Owczarek AL, Prellberg T ( 2017 ) . Self-attracting polymers in two dimensions with three low-temperature phases . Journal of Physics A: Mathematical and Theoretical
Haug N, Daalhuis AO, Prellberg T ( 2017 ) . Higher-order Airy scaling in deformed Dyck paths . Journal of Statistical Physics
Bedini A, Owczarek AL, Prellberg T ( 2016 ) . The role of three-body interactions in two-dimensional polymer collapse . Journal of Physics A: Mathematical and Theoretical vol. 49 , ( 21 )
Rensburg EJJV, Prellberg T ( 2016 ) . Forces and pressures in adsorbing partially directed walks . Journal of Physics A: Mathematical and Theoretical vol. 49 , ( 20 ) 205001 - 205001 .
Narros A, Owczarek AL, Prellberg T ( 2016 ) . Winding angle distributions for two-dimensional collapsing polymers . Journal of Physics: Conference Series vol. 686 , ( 1 )
Krawczyk J, Owczarek AL, Prellberg T ( 2015 ) . A semi-flexible attracting-segment model of three-dimensional polymer collapse . Physica A: Statistical Mechanics and its Applications vol. 431 , 74 - 83 .
NARROS A, PRELLBERG T, OWCZARECK A ( 2015 ) . Dataset: Winding angle distributions for two-dimensional collapsing polymers .
Haug N, Prellberg T ( 2015 ) . Uniform asymptotics of area-weighted Dyck paths . Journal of Mathematical Physics vol. 56 , ( 4 )
Dagrosa E, Owczarek AL, Prellberg T ( 2014 ) . Writhe-induced knotting in a lattice polymer .
Mortimer PRG, Prellberg T ( 2014 ) . On the Number of Walks in a Triangular Domain .
Owczarek AL, Prellberg T ( 2013 ) . Pressure exerted by a vesicle on a surface .
Bedini A, Owczarek AL, Prellberg T ( 2013 ) . Lattice polymers with two competing collapse interactions .
Bedini A, Owczarek AL, Prellberg T ( 2013 ) . Semi-flexible interacting self-avoiding trails on the square lattice . Physica A: Statistical Mechanics and its Applications vol. 392 , ( 7 ) 1602 - 1610 .
Bedini A, Owczarek AL, Prellberg T ( 2012 ) . Numerical simulation of a lattice polymer model at its integrable point .
Bedini A, Owczarek AL, Prellberg T ( 2012 ) . Semi-flexible interacting self-avoiding trails on the square lattice . Issue vol. 7 ,
Bedini A, Owczarek AL, Prellberg T ( 2012 ) . Self-avoiding trails with nearest neighbour interactions on the square lattice .
Bedini A, Owczarek AL, Prellberg T ( 2012 ) . Weighting of topologically different interactions in a model of two-dimensional polymer collapse . Phys. Rev. E vol. 87 ,
Rensburg EJJV, Prellberg T ( 2012 ) . The pressure exerted by adsorbing directed lattice paths and staircase polygons .
Prellberg T ( 2012 ) . The combinatorics of the leading root of the partial theta function .
Prellberg T ( 2012 ) . Rare event sampling with stochastic growth algorithms .
Mortimer PRG, Prellberg T ( 2012 ) . A Bijection on Bilateral Dyck Paths . 1 - 10 .
Touchette H, Prellberg T, Just W ( 2012 ) . Exact power spectra of Brownian motion with solid friction . J. Phys. A: Math. Theor. 45, 395002, 2012 vol. 45 , ( 39 )
Prellberg T ( 2012 ) . From Rosenbluth Sampling to PERM - rare event sampling with stochastic growth algorithms .
Owczarek AL, Prellberg T ( 2011 ) . Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation .
Bedini A, Owczarek AL, Prellberg T ( 2011 ) . Anomalous critical behaviour in the polymer collapse transition of three-dimensional lattice trails . Phys. Rev. E vol. 86 ,
Brak R, Iliev GK, Prellberg T ( 2011 ) . An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths . JOURNAL OF STATISTICAL PHYSICS vol. 145 , ( 3 ) 669 - 685 .
Brak R, Iliev GK, Prellberg T ( 2011 ) . An infinite family of adsorption models and restricted Lukasiewicz paths .
Bastian J, Prellberg T, Rubey M, Stump C ( 2011 ) . Counting the number of elements in the mutation classes of (A)over-tilde(n)-quivers . ELECTRON J COMB vol. 18 , ( 1 )
Owczarek AL, Prellberg T ( 2010 ) . Exact solution of the discrete (1+1)-dimensional RSOS model in a slit with field and wall interactions . Journal of Physics A: Mathematical and Theoretical vol. 43 , ( 37 )
Osborn J-A, Prellberg T ( 2010 ) . Forcing Adsorption of a Tethered Polymer by Pulling .
Krawczyk J, Owczarek AL, Prellberg T ( 2010 ) . A semi-flexible attracting segment model of two-dimensional polymer collapse . PHYSICA A vol. 389 , ( 8 ) 1619 - 1624 .
Doukas J, Owczarek AL, Prellberg T ( 2010 ) . Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers .
Owczarek AL, Prellberg T ( 2010 ) . Enumeration of area-weighed Dyck paths with restricted height .
Owczarek AL, Prellberg T ( 2010 ) . Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit with Field and Wall Interactions .
Owczarek AL, Prellberg T ( 2010 ) . A simple model of a vesicle drop in a confined geometry .
Cameron P, Prellberg T, Stark D ( 2010 ) . Asymptotic enumeration of 2-covers and line graphs . DISCRETE MATHEMATICS . vol. 310 , 230 - 240 .
Owczarek AL, Prellberg T ( 2009 ) . Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions . J PHYS A-MATH THEOR vol. 42 , ( 49 ) Article 495003 ,
Owczarek AL, Prellberg T ( 2009 ) . Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions . Journal of Physics A: Mathematical and Theoretical vol. 42 , ( 49 )
Bandtlow OF, Fiala J, Kleban P, Prellberg T ( 2009 ) . Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point .
Bandtlow OF, Fiala J, Kleban P, Prellberg T ( 2009 ) . Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point .
Bastian J, Prellberg T, Rubey M, Stump C ( 2009 ) . Counting the number of elements in the mutation classes of \tilde{A}_n-quivers . Electron. J. Combin. 18 (2011), no. 1, P98
Briggs KM, Song L, Prellberg T ( 2009 ) . A note on the distribution of the maximum of a set of Poisson random variables .
Brak R, Dyke P, Lee J, Owczarek AL, Prellberg T, Rechnitzer A, Whittington SG ( 2009 ) . A self-interacting partially directed walk subject to a force . J PHYS A-MATH THEOR vol. 42 , ( 8 ) Article 085001 ,
Krawczyk J, Owczarek AL, Prellberg T ( 2009 ) . Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers . PHYSICA A vol. 388 , ( 2-3 ) 104 - 112 .
Corteel S, Josuat-Verges M, Prellberg T, Rubey M ( 2008 ) . Matrix Ansatz, lattice paths and rook placements . DMTCS Proceedings, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 313--324
Owczarek AL, Prellberg T ( 2008 ) . Scaling of the atmosphere of self-avoiding walks . J PHYS A-MATH THEOR vol. 41 , ( 37 ) Article 375004 ,
Cameron PJ, Johannsen D, Prellberg T, Schweitzer P ( 2008 ) . Counting defective parking functions . ELECTRON J COMB vol. 15 , Article R92 ,
Krawczyk J, Owczarek AL, Prellberg T ( 2008 ) . Polymers with self-attraction and stiffness: a generic phase structure .
Bailey RF, Prellberg T ( 2008 ) . Decoding generalised hyperoctahedral groups and asymptotic analysis of correctible error patterns .
van Rensburg EJJ, Prellberg T, Rechnitzer A ( 2008 ) . Partially directed paths in a wedge . J COMB THEORY A vol. 115 , ( 4 ) 623 - 650 .
Owczarek AL, Prellberg T, Rechnitzer A ( 2008 ) . Finite-size scaling functions for directed polymers confined between attracting walls . J PHYS A-MATH THEOR vol. 41 , ( 3 ) Article 035002 ,
Van Rensburg EJJ, Prellberg T, Rechnitzer A ( 2007 ) . Partially directed paths in a symmetric wedge . FPSAC'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics
van Rensburg EJJ, Prellberg T, Rechnitzer A ( 2007 ) . Directed paths in a wedge . J PHYS A-MATH THEOR vol. 40 , ( 47 ) 14069 - 14084 .
Owczarek AL, Rechnitzer A, Krawczyk J, Prellberg T ( 2007 ) . On the location of the surface-attached globule phase in collapsing polymers . J PHYS A-MATH THEOR vol. 40 , ( 44 ) 13257 - 13267 .
Owczarek AL, Prellberg T ( 2007 ) . Exact solution of semi-flexible and super-flexible interacting partially directed walks . J STAT MECH-THEORY E ( 11 ) Article P11010 ,
Krawczyk J, Owczarek AL, Prellberg T ( 2007 ) . The competition of hydrogen-like and isotropic interactions on polymer collapse . J STAT MECH-THEORY E ( 9 ) Article P09016 ,
Cameron P, Prellberg T, Stark D ( 2007 ) . Asymptotic enumeration of 2-covers and line graphs .
Krawczyk J, Owczarek AL, Prellberg T, Rechnitzer A ( 2007 ) . Controlling Secondary Structures of Bio-Polymers with Hydrogen-Like Bonding .
Owczarek AL, Prellberg T ( 2007 ) . Collapse transition of self-avoiding trails on the square lattice . PHYSICA A vol. 373 , 433 - 438 .
Cameron P, Prellberg T, Stark D ( 2006 ) . Asymptotics for incidence matrix classes . ELECTRON J COMB vol. 13 , ( 1 ) Article R85 ,
Rensburg EJJV, Prellberg T, Rechnitzer A ( 2006 ) . Partially directed paths in a wedge .
Krawczyk J, Prellberg T, Owczarek AL, Rechnitzer A ( 2006 ) . Self-avoiding random walk with multiple site weightings and restrictions . PHYS REV LETT vol. 96 , ( 24 ) Article 240603 ,
Prellberg T, Fiala J, Kleban P ( 2006 ) . Cluster approximation for the Farey fraction spin chain . J STAT PHYS vol. 123 , ( 2 ) 455 - 471 .
Cameron P, Prellberg T, Stark D ( 2006 ) . Asymptotic enumeration of incidence matrices . International Workshop on Statistical Mechanics and Combinatorics: Counting Complexity . Editors: DeGier, J, Warnaar, O , vol. 42 , 59 - 70 .
Prellberg T, Krawczyk J, Rechnitzer A ( 2006 ) . Polymer Simulations with a flat histogram stochastic growth algorithm . Computer Simulation Studies in Condensed-Matter Physics XVI . Editors: Landau, DP, Lewis, SP, Schuttler, HB , vol. 103 , 122 - 135 .
Cameron P, Prellberg T, Stark D ( 2005 ) . Asymptotic enumeration of incidence matrices .
Cameron P, Prellberg T, Stark D ( 2005 ) . Asymptotics for incidence matrix classes .
Krawczyk J, Owczarek AL, Prellberg T, Rechnitzer A ( 2005 ) . Layering transitions for adsorbing polymers in poor solvents . EUROPHYS LETT vol. 70 , ( 6 ) 726 - 732 .
Krawczyk J, Owczarek AL, Prellberg T, Rechnitzer A ( 2005 ) . Pulling absorbing and collapsing polymers from a surface . J STAT MECH-THEORY E Article P05008 ,
Krawczyk J, Prellberg T, Owczarek AL, Rechnitzer A ( 2004 ) . Stretching of a chain polymer adsorbed at a surface . J STAT MECH-THEORY E Article P10004 ,
Prellberg T, Krawczyk J ( 2003 ) . Flat histogram PERM .
Prellberg T, Stanton D ( 2003 ) . Proof of a monotonicity conjecture . J COMB THEORY A vol. 103 , ( 2 ) 377 - 381 .
Owczarek AL, Prellberg T ( 2003 ) . Monte carlo investigation of lattice models of polymer collapse in five dimensions . INT J MOD PHYS C vol. 14 , ( 5 ) 621 - 633 .
Prellberg T ( 2003 ) . Towards a complete determination of the spectrum of a transfer operator associated with intermittency . J PHYS A-MATH GEN vol. 36 , ( 10 ) 2455 - 2461 .
Owczarek AL, Prellberg T ( 2003 ) . Scaling near the theta point for isolated polymers in solution . PHYS REV E vol. 67 , ( 3 ) Article 032801 ,
Berg S, Prellberg T, Johannsmann D ( 2003 ) . Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators . REV SCI INSTRUM vol. 74 , ( 1 ) 118 - 126 .
Prellberg T, Owczarek AL ( 2003 ) . Polymer collapse in high dimensions: Monte Carlo simulation of lattice models . COMPUTER SIMULATION STUDIES IN CONDENSED-MATTER PHYSCIS XVI . Editors: Landau, DP, Lewis, SP, Schuttler, HB , vol. 95 , 147 - 151 .
Owczarek AL, Prellberg T ( 2002 ) . Comment on `Stretched polymers in a poor solvent' . Abstract: java.sql.Clob org.hibernate.engine.jdbc.WrappedClob java.io.Serializable ,
Prellberg T, Owczarek AL ( 2002 ) . Pseudo-first-order transition in interacting self-avoiding walks and trails . COMPUTER PHYSICS COMMUNICATIONS vol. 147 , ( 1-2 ) 629 - 632 .
Prellberg T ( 2001 ) . Scaling of self-avoiding walks and self-avoiding trails in three dimensions . J PHYS A-MATH GEN vol. 34 , ( 43 ) L599 - L602 .
Prellberg T, Owczarek AL ( 2001 ) . Four-dimensional polymer collapse II: interacting self-avoiding trails . PHYSICA A vol. 297 , ( 3-4 ) 275 - 290 .
Owczarek AL, Prellberg T ( 2001 ) . Scaling of self-avoiding walks in high dimensions . J PHYS A-MATH GEN vol. 34 , ( 29 ) 5773 - 5780 .
Owczarek AL, Prellberg T ( 2000 ) . First-order scaling near a second-order phase transition: Tricritical polymer collapse . EUROPHYS LETT vol. 51 , ( 6 ) 602 - 607 .
Prellberg T, Owczarek AL ( 2000 ) . Four-dimensional polymer collapse: pseudo-first-order transition in interacting self-avoiding walks . Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 62 , ( 3 Pt B ) 3780 - 3789 .
Prellberg T ( 2000 ) . On the Asymptotics of Takeuchi Numbers .
Marchetti MC, Middleton AA, Prellberg T ( 1999 ) . Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops . Physical Review Letters vol. 85 , 1104 - 1107 .
Prellberg T, Owczarek AL ( 1999 ) . On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles . COMMUN MATH PHYS vol. 201 , ( 3 ) 493 - 505 .
Owczarek AL, Prellberg T ( 1998 ) . Existence of four-dimensional polymer collapse I. Kinetic growth trails . PHYSICA A vol. 260 , ( 1-2 ) 20 - 30 .
Drossel B, Prellberg T ( 1998 ) . Dynamics of a single particle in a horizontally shaken box . EUR PHYS J B vol. 1 , ( 4 ) 533 - 543 .
Prellberg T, Drossel B ( 1998 ) . Winding angles for two-dimensional polymers with orientation-dependent interactions . PHYS REV E vol. 57 , ( 2 ) 2045 - 2052 .
Prellberg T, Drossel B ( 1998 ) . Winding-angle distribution for two-dimensional polymers at the theta-point . PHYSICA A . vol. 249 , 337 - 341 .
Prellberg T ( 1997 ) . The statistical mechanics of vesicles . MATH COMPUT MODEL vol. 26 , ( 8-10 ) 321 - 321 .
PRELLBERG T, OWCZAREK AL ( 1995 ) . STACKING MODELS OF VESICLES AND COMPACT CLUSTERS . J STAT PHYS vol. 80 , ( 3-4 ) 755 - 779 .
OWCZAREK AL, PRELLBERG T ( 1995 ) . THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONS . J STAT PHYS vol. 79 , ( 5-6 ) 951 - 967 .
GUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D, PRELLBERG T ( 1995 ) . RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL . NUCLEAR PHYSICS B . 911 - 913 .
PRELLBERG T ( 1995 ) . UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS . J PHYS A-MATH GEN vol. 28 , ( 5 ) 1289 - 1304 .
Prellberg T, Owczarek AL ( 1995 ) . Models of polymer collapse in three dimensions: Evidence from kinetic growth simulations . Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 51 , ( 3 ) 2142 - 2149 .
PRELLBERG T, BRAK R ( 1995 ) . CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS . J STAT PHYS vol. 78 , ( 3-4 ) 701 - 730 .
OWCZAREK AL, PRELLBERG T, BENNETTWOOD D, GUTTMANN AJ ( 1994 ) . UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS . J PHYS A-MATH GEN vol. 27 , ( 24 ) L919 - L925 .
BRAK R, OWCZAREK AL, PRELLBERG T ( 1994 ) . EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES . J STAT PHYS vol. 76 , ( 5-6 ) 1101 - 1128 .
BENNETTWOOD D, OWCZAREK AL, PRELLBERG T ( 1994 ) . CROSSOVER IN SMART KINETIC GROWTH WALKS . PHYSICA A vol. 206 , ( 3-4 ) 283 - 288 .
OWCZAREK AL, PRELLBERG T ( 1994 ) . INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE . PHYSICA A . vol. 205 , 203 - 213 .
PRELLBERG T, OWCZAREK AL ( 1994 ) . MANHATTAN LATTICE THETA-POINT EXPONENTS FROM KINETIC GROWTH WALKS AND EXACT RESULTS FROM THE NIENHUIS O(N) MODEL . J PHYS A-MATH GEN vol. 27 , ( 6 ) 1811 - 1826 .
BENNETTWOOD D, BRAK R, GUTTMANN AJ, OWCZAREK AL, PRELLBERG T ( 1994 ) . LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS . J PHYS A-MATH GEN vol. 27 , ( 2 ) L1 - L8 .
OWCZAREK AL, PRELLBERG T, BRAK R ( 1993 ) . EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY . PHYS REV LETT vol. 71 , ( 25 ) 4275 - 4275 .
Owczarek AL, Prellberg T, Brak R ( 1993 ) . Owczarek, Prellberg, and Brak reply . Phys Rev Lett vol. 71 , ( 25 )
GUTTMANN AJ, PRELLBERG T, OWCZAREK AL ( 1993 ) . ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS . J PHYS A-MATH GEN vol. 26 , ( 23 ) 6615 - 6623 .
Prellberg T, Owczarek AL, Brak R, Guttmann AJ ( 1993 ) . Finite-length scaling of collapsing directed walks . Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 48 , ( 4 ) 2386 - 2396 .
BRAK R, OWCZAREK AL, PRELLBERG T ( 1993 ) . A SCALING THEORY OF THE COLLAPSE TRANSITION IN GEOMETRIC CLUSTER-MODELS OF POLYMERS AND VESICLES . J PHYS A-MATH GEN vol. 26 , ( 18 ) 4565 - 4579 .
OWCZAREK AL, PRELLBERG T, BRAK R ( 1993 ) . THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS . J STAT PHYS vol. 72 , ( 3-4 ) 737 - 772 .
Guttmann AJ, Prellberg T ( 1993 ) . Staircase polygons, elliptic integrals, Heun functions, and lattice Green functions . Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics vol. 47 , ( 4 ) R2233 - R2236 .
OWCZAREK AL, PRELLBERG T ( 1993 ) . EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS . J STAT PHYS vol. 70 , ( 5-6 ) 1175 - 1194 .
Owczarek AL, Prellberg T, Brak R ( 1993 ) . New scaling form for the collapsed polymer phase . Phys Rev Lett vol. 70 , ( 7 ) 951 - 953 .
PRELLBERG T, SLAWNY J ( 1992 ) . MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS . J STAT PHYS vol. 66 , ( 1-2 ) 503 - 514 .
HARBORTH H, OERTEL P, PRELLBERG T ( 1989 ) . NO-3-IN-LINE FOR 17 AND 19 . DISCRETE MATH vol. 73 , ( 1-2 ) 89 - 90 .
Harborth H, Oertel P, Prellberg T ( 1988 ) . No-three-in-line for seventeen and nineteen . Discrete Mathematics vol. 73 , ( 1-2 ) 89 - 90 .