List of Publications

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  1. 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)
  2. N. Haug, A. Olde Daalhuis and T. Prellberg, ``Higher-order Airy scaling in deformed Dyck paths,'' J. Stat. Phys. 166 (2017) 1193 (pdf)
  3. N. Haug, T. Prellberg and G. Siudem, ``Scaling in area-weighed generalized Motzkin paths,'' Physica A 482 (2017) 611 (pdf)
  4. A. Narros, A. L. Owczarek and T. Prellberg, ``Winding angle distributions for two-dimensional collapsing polymers,'' J. Phys.: Conf. Ser. 686 (2016) 012007 (pdf)
  5. E. Dagrosa, A. L. Owczarek and T. Prellberg, ``Writhe induced phase transition in unknotted self-avoiding polygons,'' JSTAT, in print (pdf)
  6. E. Dagrosa, A. L. Owczarek and T. Prellberg, ``Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality,'' JSTAT, in print (pdf)
  7. 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)
  8. E. J. Janse van Rensburg and T. Prellberg, ``Forces and pressures in adsorbing partially directed walks,'' J. Phys. A 49 (2016) 205001 (pdf)
  9. N. Haug and T. Prellberg, ``Uniform Asymptotics of area-weighted Dyck paths,'' J. Math. Phys. 56 (2015) 043301 (pdf)
  10. 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)
  11. 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)
  12. P. R. G. Mortimer and T. Prellberg, ``On the Number of Walks in a Triangular Domain,'' Electron. J. Combinat. 22 (2015) P1.64 (pdf)
  13. E. Dagrosa, A. L. Owczarek and T. Prellberg, ``Writhe-induced knotting in a lattice polymer,'' J. Phys. A 48 (2015) 065002 (pdf)
  14. A. L. Owczarek and T. Prellberg, ``Pressure exerted by a vesicle on a surface,'' J. Phys. A 47 (2014) 215001 (pdf)
  15. A. Bedini, A. L. Owczarek and T. Prellberg, ``Lattice polymers with two competing interactions,'' J. Phys. A 47 (2014) 145002 (pdf)
  16. 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)
  17. 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)
  18. 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)
  19. 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)
  20. T. Prellberg, ``Rare event sampling with stochastic growth algorithms,'' EPJ Web of Conferences 44 (2013) 01001 (pdf)
  21. 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)
  22. P. R. G. Mortimer and T. Prellberg, ``A Bijection on Bilateral Dyck Paths,'' Australas. J. Combinat. 59 (2014) 72-80 (pdf)
  23. T. Prellberg, ``The Combinatorics of the Leading Root of the Partial Theta Function,'' submitted to Adv. Math. (pdf)
  24. H. Touchette, T. Prellberg, and W. Just, ``Exact power spectra of Brownian motion with solid friction,'' J. Phys. A, 45 (2012) 395002 (pdf)
  25. 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)
  26. 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)
  27. 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)
  28. 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)
  29. J. Osborn and T. Prellberg, ``Exact solution of two non-crossing partially directed walks with contact interaction,'' in preparation (pdf)
  30. A. L. Owczarek and T. Prellberg, ``Enumeration of area-weighted Dyck paths with restricted height,'' Australas. J. Combinat. 54 (2012) 13-18 (pdf)
  31. 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)
  32. 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)
  33. 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)
  34. A. L. Owczarek and T. Prellberg, ``A simple model of a vesicle drop in a confined geometry,'' JSTAT (2010) P08015 (pdf)
  35. 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)
  36. J. Osborn and T. Prellberg, ``Forcing Adsorption of a Tethered Polymer by Pulling,'' JSTAT (2010) P09018 (pdf)
  37. S. Corteel, M. Josuat-Verg├Ęs, T. Prellberg, and M. Rubey, ``Matrix Ansatz, lattice paths and rook placements,'' DMTCS proc. AK (2009), 313-324 (pdf)
  38. A. L. Owczarek and T. Prellberg, ``Scaling of the atmosphere of self-avoiding walks,'' J. Phys. A 41 (2008) 375004 (pdf)
  39. 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)
  40. 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)
  41. 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)
  42. K. M. Briggs, L. Song, and T. Prellberg, ``A note on the distribution of the maximum of a set of Poisson random variables,'' submitted to Statist. Probab. Lett. (pdf)
  43. P. J. Cameron, D. Johannsen, T. Prellberg, and P. Schweitzer, ``Counting defective parking functions,'' Electron. J. Combinat. 15 (2008) R92 (pdf)
  44. 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)
  45. 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)
  46. 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)
  47. P. Cameron, T. Prellberg, and D. Stark, ``Asymptotic enumeration of 2-covers and line graphs,'' Discrete Mathematics 310 (2010) 230-240 (pdf)
  48. E. J. Janse van Rensburg, T. Prellberg, and A. Rechnitzer, ``Directed paths in a wedge,'' J. Phys. A 40 (2007) 14069-14084 (pdf)
  49. 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)
  50. 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)
  51. 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)
  52. 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)
  53. 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)
  54. 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)
  55. A. L. Owczarek and T. Prellberg, ``Collapse transition of self-avoiding trails on the square lattice,'' Physica A 373 (2007) 433-438 (pdf)
  56. 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)
  57. P. Cameron, T. Prellberg, and D. Stark, ``Asymptotic enumeration of incidence matrices,'' J. Phys.: Conf. Ser. 42 (2006) 59-70 (pdf)
  58. P. Cameron, T. Prellberg, and D. Stark, ``Asymptotics for incidence matrix classes,'' Electron. J. Combinat. 13 (2006) R85 (pdf)
  59. 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)
  60. 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)
  61. 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)
  62. 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)
  63. T. Prellberg, P. Kleban, and J. Fiala, ``Cluster approximation for the Farey fraction spin chain,'' J. Stat. Phys. 123 (2006) 455-471 (pdf)
  64. 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)
  65. 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)
  66. A. L. Owczarek and T. Prellberg, ``Scaling near the theta-point for isolated polymers in solution,'' Phys. Rev. E 67 (2003) 032801 (pdf)
  67. 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)
  68. T. Prellberg and D. Stanton, ``Proof of a Monotonicity Conjecture,'' J. Comb. Th. A 103 (2003) 377-381 (pdf)
  69. 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)
  70. T. Prellberg, ``Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions,'' J. Phys. A 34 (2001) L599-L602 (pdf)
  71. T. Prellberg, ``Towards a Complete Determination of the Spectrum of a Transfer Operator associated with Intermittency,'' J. Phys. A 36 (2003) 2455-2461 (pdf)
  72. 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)
  73. T. Prellberg and A. L. Owczarek, ``Four-dimensional polymer collapse II: Interacting self-avoiding trails,'' Physica A 297 (2001) 275-290 (pdf)
  74. A. L. Owczarek and T. Prellberg, ``Scaling of Self-Avoiding Walks in High Dimensions,'' J. Phys. A 34 (2001) 5773-5780 (pdf)
  75. 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)
  76. 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)
  77. 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)
  78. 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)
  79. A. L. Owczarek and T. Prellberg, ``Existence of four-dimensional polymer collapse I: Kinetic growth Trails,'' Physica A 260 (1998) 20-30 (pdf)
  80. 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)
  81. 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)
  82. B. Drossel and T. Prellberg, ``Dynamics of a single particle in a horizontally shaken box,'' Eur. Phys. J. B 1 (1998) 533-543 (pdf)
  83. T. Prellberg and B. Drossel, ``Winding angles for two-dimensional polymers with orientation dependent interactions,'' Phys. Rev. E 57 (1998) 2045-2052 (pdf)
  84. T. Prellberg and B. Drossel, ``Winding angle distribution for two-dimensional polymers at the theta-point,'' Physica A 249 (1998) 337-341 (pdf)
  85. T. Prellberg, ``The Statistical Mechanics of Vesicles,'' Math. Comp. Mod. 26 (1997) 321 (pdf)
  86. 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)
  87. T. Prellberg, ``Uniform q-Series Asymptotics for Staircase Polygons,'' J. Phys. A: Math. Gen. 28 (1995) 1289-1304 (pdf)
  88. T. Prellberg and A. L. Owczarek, ``Stacking Models of Vesicles and Compact Clusters,'' J. Stat. Phys. 80 (1995) 755-779 (pdf)
  89. 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)
  90. 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)
  91. 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)
  92. 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)
  93. 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)
  94. R. Brak, A L. Owczarek, and T. Prellberg, ``Exact Scaling Behaviour of Partially Convex Vesicles,'' J. Stat. Phys. 76 (1994) 1101-1128 (pdf)
  95. D. Bennett-Wood, A. L. Owczarek, and T. Prellberg, ``Crossover in Smart Kinetic Growth Walks,'' Physica A 206 (1994) 283-288 (pdf)
  96. 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)
  97. 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)
  98. 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)
  99. 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)
  100. 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)
  101. 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)
  102. 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)
  103. 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)
  104. A. L. Owczarek, T. Prellberg, and R. Brak, ``New Scaling Form for the Collapsed Polymer Phase,'' Phys. Rev. Lett. 70 (1993) 951-953 (pdf)
  105. A. J. Guttmann and T. Prellberg, ``Staircase polygons, Elliptic integrals, Heun functions and Lattice Green functions,'' Phys. Rev. E 47 (1993) R2233-2236 (pdf)
  106. 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)
  107. 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)
  108. H. Harborth, P. Oertel, and T. Prellberg, ``No-Three-In-Line for Seventeen and Nineteen,'' Discrete Mathematics 73 (1988/89) 89-90 (pdf)
Download my dissertation thesis (Virginia Tech, June 1991) or my habilitation thesis (TU Clausthal, April 2001).

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