N. T. Rodrigues, T. J. Oliveira, T. Prellberg and A. L. Owczarek,
``Adsorption of 2d polymers with two- and three-body self-interactions,''
Phys. Rev. E 100 (2019) 062504 (pdf)
A. Khalid and T. Prellberg,
``Skew Schur Function Representation of Directed Paths in a Slit,''
J. Comb., in print (pdf)
A. Khalid and T. Prellberg,
``Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers,''
submitted to Eur. J. Comb. (pdf)
N. T. Rodrigues, T. Prellberg and A. L. Owczarek,
``Adsorption of interacting self-avoiding trails in two dimensions,''
Phys. Rev. E 100 (2019) 022121 - Editor's suggestion (pdf)
C. J. Bradly, A. L. Owczarek and T. Prellberg,
``Phase transitions in solvent dependent polymer adsorption in three dimensions,''
Phys. Rev. E 99 (2019) 062113 (pdf)
A. L. Owczarek and T. Prellberg,
``Exact solution of pulled, directed vesicles with sticky walls in two dimensions,''
J. Math. Phys. 60 (2019) 033301 (pdf)
C. J. Bradly, A. L. Owczarek and T. Prellberg,
``Adsorption of neighbor-avoiding walks on the simple cubic lattice,''
Phys. Rev. E 98 (2018) 062141 (pdf)
N. Haug and T. Prellberg,
``Multicritical Scaling in a Lattice Model of Vesicles,''
J. Phys A 53 (2020) 265003 (pdf)
C. J. Bradly, A. L. Owczarek and T. Prellberg,
``Universality of crossover scaling for the adsorption transition of lattice polymers,''
Phys. Rev. E 97 (2018) 022503 (pdf)
A. Narros, A. L. Owczarek and T. Prellberg,
``Anomalous polymer collapse winding angle distributions,''
J. Phys. A 51 (2018) 114001 (pdf)
T. J. Oliveira, W. G. Dantas, T. Prellberg and J. F. Stilck,
``Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares,''
J. Phys. A 51 (2018) 054001 (pdf)
W. G. Dantas, T. J. Oliveira, J. F. Stilck and T. Prellberg,
``Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice,''
Phys. Rev. E 95 (2017) 022132 (pdf)
N. Haug, A. Olde Daalhuis and T. Prellberg,
``Higher-order Airy scaling in deformed Dyck paths,''
J. Stat. Phys. 166 (2017) 1193 (pdf)
N. Haug, T. Prellberg and G. Siudem,
``Scaling in area-weighed generalized Motzkin paths,''
Physica A 482 (2017) 611 (pdf)
A. Narros, A. L. Owczarek and T. Prellberg,
``Winding angle distributions for two-dimensional collapsing polymers,''
J. Phys.: Conf. Ser. 686 (2016) 012007 (pdf)
E. Dagrosa, A. L. Owczarek and T. Prellberg,
``Writhe induced phase transition in unknotted self-avoiding polygons,''
JSTAT (2017) 093206 (pdf)
E. Dagrosa, A. L. Owczarek and T. Prellberg,
``Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality,''
JSTAT (2017) 103204 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``The role of three-body interactions in two-dimensional polymer collapse,''
J. Phys. A 49 (2016) 214001 (pdf)
E. J. Janse van Rensburg and T. Prellberg,
``Forces and pressures in adsorbing partially directed walks,''
J. Phys. A 49 (2016) 205001 (pdf)
N. Haug and T. Prellberg,
``Uniform Asymptotics of area-weighted Dyck paths,''
J. Math. Phys. 56 (2015) 043301
(pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Self-attracting polymers in two dimensions with three low-temperature phases,''
J. Phys. A 50 (2017) 095003
(pdf)
J. Krawczyk, A. L. Owczarek, and T. Prellberg,
``A Semi-flexible attracting-segment model of three-dimensional polymer collapse,''
Physica A 431 (2015) 74
(pdf)
P. R. G. Mortimer and T. Prellberg,
``On the Number of Walks in a Triangular Domain,''
Electron. J. Combinat. 22 (2015) P1.64 (pdf)
E. Dagrosa, A. L. Owczarek and T. Prellberg,
``Writhe-induced knotting in a lattice polymer,''
J. Phys. A 48 (2015) 065002 (pdf)
A. L. Owczarek and T. Prellberg,
``Pressure exerted by a vesicle on a surface,''
J. Phys. A 47 (2014) 215001 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Lattice polymers with two competing interactions,''
J. Phys. A 47 (2014) 145002 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Numerical simulation of a lattice polymer model at its integrable point,''
J. Phys. A 46 (2013) 265003 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Semi-flexible interacting self-avoiding trails on the square lattice,''
Physica A 392 (2013) 1602-1610 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Weighting of topologically different interactions in a model of two-dimensional polymer collapse,''
Phys. Rev. E 87 (2013) 012142 (pdf)
E. J. Janse van Rensburg and T. Prellberg,
``The pressure of adsorbing directed lattice paths and staircase polygons,'' J. Phys. A 46 (2013) 115202 (pdf)
T. Prellberg,
``Rare event sampling with stochastic growth algorithms,''
EPJ Web of Conferences 44 (2013) 01001 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Self-avoiding trails with nearest neighbour interactions on the square lattice,''
J. Phys. A 46 (2013) 085001 (pdf)
P. R. G. Mortimer and T. Prellberg,
``A Bijection on Bilateral Dyck Paths,''
Australas. J. Combinat. 59 (2014) 72-80 (pdf)
T. Prellberg,
``The Combinatorics of the Leading Root of the Partial Theta Function,''
preprint (pdf)
H. Touchette, T. Prellberg, and W. Just,
``Exact power spectra of Brownian motion with solid friction,''
J. Phys. A, 45 (2012) 395002 (pdf)
T. Prellberg,
``From Rosenbluth Sampling to PERM - rare event sampling with stochastic growth algorithms,''
in R. Leidl and A. K. Hartmann (eds), Modern Computational Science 12: Lecture Notes from the 4th International Oldenburg Summer School, pages 311-334, BIS-Verlag der Carl von Ossietzky Universität Oldenburg, 2012 (pdf)
A. L. Owczarek and T. Prellberg,
``Exact Solution of a model of a vesicle attached to a wall subject to mechanical deformation,''
J. Phys. A 45 (2012) 395001 (pdf)
A. Bedini, A. L. Owczarek and T. Prellberg,
``Anomalous critical behaviour in the polymer collapse transition of three-dimensional lattice trails,''
Phys. Rev. E 86 (2012) 011123 (pdf)
R. Brak, G. Iliev, and T. Prellberg,
``An infinite family of adsorption models and restricted Lukasiewicz paths,''
J. Stat. Phys. 145 (2011) 669-685 (pdf)
J. Osborn and T. Prellberg,
``Exact solution of two non-crossing partially directed walks with contact interaction,''
in preparation (pdf)
A. L. Owczarek and T. Prellberg,
``Enumeration of area-weighted Dyck paths with restricted height,''
Australas. J. Combinat. 54 (2012) 13-18 (pdf)
J. Doukas, A. L. Owczarek and T. Prellberg,
``Identification of a polymer growth process with an equilibrium
multi-critical collapse phase transition: the meeting point of
swollen, collapsed and crystalline polymers,''
Phys. Rev. E 82 (2010) 031103 (pdf)
J. Bastian, T. Prellberg, M. Rubey, and C. Stump,
``Counting the number of elements in the mutation classes of Ãn-quivers,''
Electron. J. Combinat. 18 (2011) P98 (pdf)
A. L. Owczarek and T. Prellberg,
``Exact Solution of the Discrete (1+1)-Dimensional RSOS Model in a Slit with Field and Wall Interactions,''
J. Phys. A 43 (2010) 375004 (pdf)
A. L. Owczarek and T. Prellberg,
``A simple model of a vesicle drop in a confined geometry,''
JSTAT (2010) P08015 (pdf)
A. L. Owczarek and T. Prellberg,
``Exact Solution of the Discrete (1+1)-Dimensional RSOS Model with Field and Surface Interactions,''
J. Phys. A 42 (2009) 495003
(pdf)
J. Osborn and T. Prellberg,
``Forcing Adsorption of a Tethered Polymer by Pulling,''
JSTAT (2010) P09018 (pdf)
S. Corteel, M. Josuat-Vergès, T. Prellberg, and M. Rubey,
``Matrix Ansatz, lattice paths and rook placements,''
DMTCS proc. AK (2009), 313-324
(pdf)
A. L. Owczarek and T. Prellberg,
``Scaling of the atmosphere of self-avoiding walks,''
J. Phys. A 41 (2008) 375004
(pdf)
J. Krawczyk, A. L. Owczarek, and T. Prellberg,
``A Semi-flexible attracting-segment model of two-dimensional polymer collapse,''
Physica A 389 (2010) 1619-1624
(pdf)
J. Krawczyk, A. L. Owczarek, and T. Prellberg,
``Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers,''
Physica A 388 (2009) 104-112
(pdf)
R. Brak, P. Dyke, J. Lee, A. L. Owczarek, T. Prellberg, A. Rechnitzer, and S. G. Whittington,
``A self-interacting partially directed walk subject to a force,''
J. Phys. A 42 (2009) 085001
(pdf)
K. M. Briggs, L. Song, and T. Prellberg,
``A note on the distribution of the maximum of a set of Poisson random variables,''
preprint
(pdf)
P. J. Cameron, D. Johannsen, T. Prellberg, and P. Schweitzer,
``Counting defective parking functions,''
Electron. J. Combinat. 15 (2008) R92
(pdf)
A. L. Owczarek and T. Prellberg,
``Exact solution of semi-flexible and super-flexible interacting partially directed walks,''
Journal of Statistical Mechanics: theory and experiment, JSTAT (2007) P11010
(pdf)
R. F. Bailey and T. Prellberg,
``Decoding generalized octahedral groups and asymptotic analysis of successful error-correction,''
Contrib. Discrete Math. 7 (2012) 1-14
(pdf)
A. L. Owczarek, A. Rechnitzer, J. Krawczyk, and T. Prellberg,
``On the location of the surface-attached globule phase in collapsing polymers,''
J. Phys. A 40 (2007) 13257-13267
(pdf)
P. Cameron, T. Prellberg, and D. Stark,
``Asymptotic enumeration of 2-covers and line graphs,''
Discrete Mathematics 310 (2010) 230-240
(pdf)
E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer,
``Directed paths in a wedge,'' J. Phys. A 40 (2007) 14069-14084
(pdf)
E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer,
``Partially directed paths in a symmetric wedge,''
Proceedings of the ``2007 International Conference on Formal Power Series and
Algebraic Combinatorics''
(pdf)
J. Krawczyk, A. L. Owczarek, and T. Prellberg,
``The competition of hydrogen-like and isotropic interactions in polymer collapse,''
Journal of Statistical Mechanics: theory and experiment, JSTAT (2007) P09016
(pdf)
O. F. Bandtlow, J. Fiala, P. Kleban, and T. Prellberg,
``Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point,''
J. Stat. Phys. 138 (2010) 447-464 (pdf)
E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer,
``Partially directed paths in a wedge,''
J. Comb. Th. A 115 (2008) 623-650
(pdf)
J. Krawczyk, A. L. Owczarek, T. Prellberg, and A. Rechnitzer,
``A Lattice Model for Parallel and Orthogonal Beta-Sheets using Hydrogen-Like Bonding,''
Phys. Rev. E 76 (2007) 051904;
selected for Virt. J. Biol. Phys. Res. 14 (2007)
(pdf)
A. L. Owczarek, T. Prellberg, and A. Rechnitzer,
``Finite-size scaling functions for directed polymers confined between attracting walls,''
J. Phys. A 41 (2008) 035002
(pdf)
A. L. Owczarek and T. Prellberg,
``Collapse transition of self-avoiding trails on the square lattice,''
Physica A 373 (2007) 433-438
(pdf)
J. Krawczyk, T. Prellberg, A. L. Owczarek, and A. Rechnitzer,
``Self-avoiding random walk with multiple site weightings and restrictions,''
Phys. Rev. Lett. 96 (2006) 240603;
selected for Virt. J. Biol. Phys. Res. 12 (2006)
(pdf)
P. Cameron, T. Prellberg, and D. Stark,
``Asymptotic enumeration of incidence matrices,''
J. Phys.: Conf. Ser. 42 (2006) 59-70
(pdf)
P. Cameron, T. Prellberg, and D. Stark,
``Asymptotics for incidence matrix classes,''
Electron. J. Combinat. 13 (2006) R85
(pdf)
J. Krawczyk, A. L. Owczarek, T. Prellberg, and A. Rechnitzer,
``Pulling absorbing and collapsing polymers off a surface,''
Journal of Statistical Mechanics: theory and experiment, JSTAT (2005) P05008
(pdf)
J. Krawczyk, A. L. Owczarek, T. Prellberg, and A. Rechnitzer,
``Layering transitions for adsorbing polymers in poor solvents,''
Europhys. Lett. 70 (2005) 726-732
(pdf)
J. Krawczyk, T. Prellberg, A. L. Owczarek, and A. Rechnitzer,
``Stretching of a chain polymer adsorbed at a surface,''
Journal of Statistical Mechanics: theory and experiment, JSTAT (2004) P10004
(pdf)
T. Prellberg, J. Krawczyk, and A. Rechnitzer,
``Polymer simulations with a flat histogram stochastic growth algorithm,''
Computer Simulation Studies in Condensed Matter Physics XVII, pages 122-135,
Springer Verlag, 2006
(pdf)
T. Prellberg, P. Kleban, and J. Fiala,
``Cluster approximation for the Farey fraction spin chain,''
J. Stat. Phys. 123 (2006) 455-471 (pdf)
T. Prellberg and J. Krawczyk,
``Flat histogram version of the pruned and enriched Rosenbluth method,''
Phys. Rev. Lett. 92 (2004) 120602;
selected for Virt. J. Biol. Phys. Res. 7 (2004)
(pdf)
T. Prellberg and A. L. Owczarek,
``Polymer Collapse in High Dimensions: Monte Carlo Simulation of Lattice Models,''
in Computer Simulation Studies in Condensed Matter Physics XVI, pages 147-151,
Springer Verlag, 2004
(pdf)
A. L. Owczarek and T. Prellberg,
``Scaling near the theta-point for isolated polymers in solution,''
Phys. Rev. E 67 (2003) 032801
(pdf)
A. L. Owczarek and T. Prellberg,
``Monte Carlo Investigation of Lattice Models of Polymer Collapse in Five Dimensions,''
Int. J. Mod. Phys. C 14 (2003) 621-633
(pdf)
T. Prellberg and D. Stanton,
``Proof of a Monotonicity Conjecture,''
J. Comb. Th. A 103 (2003) 377-381
(pdf)
S. Berg, T. Prellberg, and D. Johannsmann,
``Non-linear Contact Mechanics based on Ring-Down Experiments with Quartz Crystal Resonators,''
Rev. Sci. Instr. 74 (2003) 118-126
(pdf)
T. Prellberg,
``Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions,''
J. Phys. A 34 (2001) L599-L602
(pdf)
T. Prellberg,
``Towards a Complete Determination of the Spectrum of a Transfer Operator associated with Intermittency,''
J. Phys. A 36 (2003) 2455-2461
(pdf)
T. Prellberg and A. L. Owczarek,
``Pseudo-First-Order Transition in Interacting Self-avoiding Walks and Trails,''
Comp. Phys. Commun. 147 (2002) 629-632
(pdf)
T. Prellberg and A. L. Owczarek,
``Four-dimensional polymer collapse II: Interacting self-avoiding trails,''
Physica A 297 (2001) 275-290
(pdf)
A. L. Owczarek and T. Prellberg,
``Scaling of Self-Avoiding Walks in High Dimensions,''
J. Phys. A 34 (2001) 5773-5780
(pdf)
T. Prellberg,
``On the Asymptotics of Takeuchi Numbers,''
in Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics
(Development in Mathematics, vol. 4), pages 231-242, Kluwer Acad. Pub., 2001
(pdf)
M. C. Marchetti, A. A. Middleton, and T. Prellberg,
``Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops,''
Phys. Rev. Lett. 85 (2000) 1104-1107
(pdf)
A. L. Owczarek and T. Prellberg,
``First-order scaling near a second-order phase transition: Tricritical Polymer collapse,''
Europhys. Lett. 51 (2000) 602-607
(pdf)
T. Prellberg and A. L. Owczarek,
``Four-dimensional polymer collapse: Pseudo-First-Order Transition in Interacting Self-avoiding Walks,''
Phys. Rev. E 62 (2000) 3780-3789
(pdf)
A. L. Owczarek and T. Prellberg,
``Existence of four-dimensional polymer collapse I: Kinetic growth Trails,''
Physica A 260 (1998) 20-30
(pdf)
T. Prellberg and A. L. Owczarek,
``On the Asymptotics of the Finite-perimeter Partition Function of Two-dimensional Lattice Vesicles,''
Commun. Math. Phys 201 (1999) 493-505
(pdf)
B. Drossel and T. Prellberg,
``Particle in a horizontally shaken box, period-doubling, chaos, and chattering,''
in Traffic and Granular Flow, pages 109-122, Springer Verlag, 1998
(pdf)
B. Drossel and T. Prellberg,
``Dynamics of a single particle in a horizontally shaken box,''
Eur. Phys. J. B 1 (1998) 533-543
(pdf)
T. Prellberg and B. Drossel,
``Winding angles for two-dimensional polymers with orientation dependent interactions,''
Phys. Rev. E 57 (1998) 2045-2052
(pdf)
T. Prellberg and B. Drossel,
``Winding angle distribution for two-dimensional polymers at the theta-point,''
Physica A 249 (1998) 337-341
(pdf)
T. Prellberg,
``The Statistical Mechanics of Vesicles,''
Math. Comp. Mod. 26 (1997) 321
(pdf)
A. J. Guttmann, A. L. Owczarek, D. Bennett-Wood, and T. Prellberg,
``Recent Developments in the Study of Walks, Polygons, and the Ising Model,''
Nucl. Phys. B: 42 (1995) 911-913
(pdf)
T. Prellberg,
``Uniform q-Series Asymptotics for Staircase Polygons,''
J. Phys. A: Math. Gen. 28 (1995) 1289-1304
(pdf)
T. Prellberg and A. L. Owczarek,
``Stacking Models of Vesicles and Compact Clusters,''
J. Stat. Phys. 80 (1995) 755-779
(pdf)
T. Prellberg and A. L. Owczarek,
``Models of Polymer Collapse in Three Dimensions: Evidence from Kinetic Growth Simulations,''
Phys. Rev. E 51 (1995) 2142-2149
(pdf)
A. L. Owczarek and T. Prellberg,
``The Collapse Point of Interacting Trails in Two Dimensions from Kinetic Growth Simulations,''
J. Stat. Phys. 79 (1995) 951-967
(pdf)
T. Prellberg and A. L. Owczarek,
``Partially Convex Lattice Vesicles: Methods and Recent Results,''
in Confronting the Infinite, pages 204-214, World Scientific, 1995
(pdf)
A. L. Owczarek, T. Prellberg, D. Bennett-Wood, and A. J. Guttmann.
``Universal Distance Ratios for Interacting Two-dimensional Polymers,''
J. Phys. A: Math. Gen. 27 (1994) L919-925
(pdf)
T. Prellberg and R. Brak,
``Critical Exponents from Non-Linear Functional Equations for Partially Directed Cluster Models,''
J. Stat. Phys. 78 (1995) 701-730
(pdf)
R. Brak, A L. Owczarek, and T. Prellberg,
``Exact Scaling Behaviour of Partially Convex Vesicles,''
J. Stat. Phys. 76 (1994) 1101-1128
(pdf)
D. Bennett-Wood, A. L. Owczarek, and T. Prellberg,
``Crossover in Smart Kinetic Growth Walks,''
Physica A 206 (1994) 283-288
(pdf)
T. Prellberg and A. L. Owczarek,
``Manhattan Lattice Theta-point Exponents from Kinetic Growth Walks and Exact Results from the Nienhuis O(n) Model,''
J. Phys. A: Math. Gen. 27 (1994) 1811-1826
(pdf)
A. L. Owczarek and T. Prellberg,
``Interacting Partially Directed Walks: A Model for Polymer Collapse,''
Conference Proceedings of ``The Second Taipei International Symposium on Statistical Physics'',
Physica A 205 (1994) 203-213
(pdf)
D. Bennett-Wood, R. Brak, A. J. Guttmann, A. L. Owczarek, and T. Prellberg,
``Low Temperature 2D Polymer Partition Function Scaling: Series Data Analysis Results,''
J. Phys. A: Math. Gen. 27 (1994) L1-8
(pdf)
A. L. Owczarek, T. Prellberg, and R. Brak,
``Reply to `Exact Scaling Form for the Collapsed 2D Polymer Phase' by B. Duplantier,''
Phys. Rev. Lett. 71 (1993) 4275
(pdf)
A. J. Guttmann, A. L. Owczarek, and T. Prellberg,
``On the Symmetry Classes of Planar Self-Avoiding Walks,''
J. Phys. A: Math. Gen. 26 (1993) 6615-6623
(pdf)
T. Prellberg, A. L. Owczarek, R. Brak, and A. J. Guttmann,
``Finite Length Scaling of Collapsing Directed Walks,''
Phys. Rev. E 48 (1993) 2386-2396
(pdf)
R. Brak, A. L. Owczarek, and T. Prellberg,
``A Scaling Theory of the Collapse Transition in Geometric Cluster Models of Polymers and Vesicles,''
J. Phys. A: Math. Gen. 26 (1993) 4565-4579
(pdf)
A. L. Owczarek, T. Prellberg, and R. Brak,
``The Tricritical Behaviour of Self-Interacting Partially Directed Walks,''
J. Stat. Phys. 72 (1993) 737-772
(pdf)
A. L. Owczarek, T. Prellberg, and R. Brak,
``New Scaling Form for the Collapsed Polymer Phase,''
Phys. Rev. Lett. 70 (1993) 951-953
(pdf)
A. J. Guttmann and T. Prellberg,
``Staircase polygons, Elliptic integrals, Heun functions and Lattice Green functions,''
Phys. Rev. E 47 (1993) R2233-2236
(pdf)
A. L. Owczarek and T. Prellberg,
``Exact Solution of the Discrete (1+1)-dimensional SOS Model with Field and Surface Interactions,''
J. Stat. Phys. 70 (1993) 1175-1194
(pdf)
T. Prellberg and J. Slawny,
``Maps of Intervals with Indifferent Fixed Points: Thermodynamic Formalism and Phase Transitions,''
J. Stat. Phys. 66 (1992) 503-514
(pdf)
H. Harborth, P. Oertel, and T. Prellberg,
``No-Three-In-Line for Seventeen and Nineteen,''
Discrete Mathematics 73 (1988/89) 89-90
(pdf)