Prof Thomas Prellberg
Professor of Mathematics
School of Mathematical Sciences
QMUL
QMUL
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 Systems2024
Roberts T and Prellberg T (2024). Improving Convergence of Generalised Rosenbluth Sampling for Branched
Polymer Models by Uniform Sampling. Journal of Physics A: Mathematical and General, IOP Publishing 22-01-2024
2023
Rodrigues NT, Oliveira TJ and Prellberg T (2023). Universality class of the special adsorption point of two-dimensional lattice polymers. Physical Review E, American Physical Society (APS) vol. 108 (2) 01-08-2023
Rodrigues NT, Oliveira TJ and Prellberg T (2023). On the universality class of the special adsorption point of two-dimensional lattice polymers. 16-05-2023
2021
Khalid A and Prellberg T (2021). Skew Schur function representation of directed paths in a slit. Journal of Combinatorics, International Press of Boston vol. 12 (4), 571-588. 01-01-2021
2020
Haug N and Prellberg T (2020). Multicritical scaling in a lattice model of vesicles. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 53 (26) 10-06-2020
2019
Rodrigues NT, Oliveira TJ, Prellberg T and Owczarek AL (2019). Adsorption of two-dimensional polymers with two- and three-body self-interactions. Physical Review E, American Physical Society 27-12-2019
Rodrigues NT, Prellberg T and Owczarek AL (2019). Adsorption of interacting self-avoiding trails in two dimensions. Physical Review E 15-08-2019
Khalid A and Prellberg T (2019). Skew Schur Function Representation of Directed Paths in a Slit. 23-07-2019
Khalid A and Prellberg T (2019). Enumerating path diagrams in connection with $q$-tangent and $q$-secant
numbers. 09-07-2019
Bradly CJ, Owczarek AL and Prellberg T (2019). Phase transitions in solvent dependent polymer adsorption in three
dimensions. Physical Review E, American Physical Society 13-06-2019
Owczarek A and Prellberg T (2019). Exact solution of pulled, directed vesicles with sticky walls in two
dimensions. Journal of Mathematical Physics, AIP Publishing 21-03-2019
2018
Bradly CJ, Owczarek AL and Prellberg T (2018). Adsorption of neighbor-avoiding walks on the simple cubic lattice. Physical Review E vol. 98 (6) 27-12-2018
Bradly CJ, Owczarek AL and Prellberg T (2018). Universality of crossover scaling for the adsorption transition of
lattice polymers. Physical Review E, American Physical Society 16-02-2018
Narros A, Owczarek AL and Prellberg T (2018). Anomalous polymer collapse winding angle distributions. Journal of Physics A: Mathematical and Theoretical, IOP Publishing 15-02-2018
2017
Oliveira TJ, Dantas WG, Prellberg T and Stilck JÜF (2017). Solution of semi-flexible self-avoiding trails on a Husimi lattice built
with squares. Journal of Physics A: Mathematical and Theoretical, IOP Publishing 29-11-2017
Dagrosa E, Owczarek AL and Prellberg T (2017). Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent
Quality. JSTAT 26-10-2017
Dagrosa E, Owczarek AL and Prellberg T (2017). Writhe induced phase transition in unknotted self-avoiding polygons. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing 21-09-2017
Haug N, Prellberg T and Siudem G (2017). Area-width scaling in generalised Motzkin paths. Physica A: Statistical Mechanics and its Applications, Elsevier 08-05-2017
Dantas WG, Oliveira TJ, Stilck JF and Prellberg T (2017). Grand-canonical solution of semi-flexible self-avoiding trails on the
Bethe lattice. Physical Review E, SAGE Publications 24-02-2017
Bedini A, Owczarek AL and Prellberg T (2017). Self-attracting polymers in two dimensions with three low-temperature
phases. Journal of Physics A: Mathematical and Theoretical 30-01-2017
Haug N, Daalhuis AO and Prellberg T (2017). Higher-order Airy scaling in deformed Dyck paths. Journal of Statistical Physics, Springer Verlag (Germany) 03-01-2017
2016
Bedini A, Owczarek AL and Prellberg T (2016). The role of three-body interactions in two-dimensional polymer collapse. Journal of Physics A: Mathematical and Theoretical, IOP Publishing: Hybrid Open Access vol. 49 (21) 20-04-2016
Rensburg EJJV and Prellberg T (2016). Forces and pressures in adsorbing partially directed walks. Journal of Physics A: Mathematical and Theoretical vol. 49 (20), 205001-205001. 18-04-2016
Narros A, Owczarek AL and Prellberg T (2016). Winding angle distributions for two-dimensional collapsing polymers. Journal of Physics Conference Series, IOP Publishing vol. 686 (1) 01-01-2016
2015
Krawczyk J, Owczarek AL and 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. 01-08-2015
Haug N and Prellberg T (2015). Uniform asymptotics of area-weighted Dyck paths. Journal of Mathematical Physics, AIP Publishing vol. 56 (4) 01-04-2015
2014
Dagrosa E, Owczarek AL and Prellberg T (2014). Writhe-induced knotting in a lattice polymer. 22-10-2014
2013
Bedini A, Owczarek AL and Prellberg T (2013). Lattice polymers with two competing collapse interactions. 05-11-2013
Bedini A, Owczarek AL and Prellberg T (2013). Semi-flexible interacting self-avoiding trails on the square lattice. Physica A: Statistical Mechanics and its Applications, Elsevier/Science Direct vol. 392 (7), 1602-1610. 01-04-2013
2012
Bedini A, Owczarek AL and Prellberg T (2012). Numerical simulation of a lattice polymer model at its integrable point. 01-11-2012
Bedini A, Owczarek AL and Prellberg T (2012). Semi-flexible interacting self-avoiding trails on the square lattice. Issue vol. 7 30-10-2012
Bedini A, Owczarek AL and Prellberg T (2012). Self-avoiding trails with nearest neighbour interactions on the square
lattice. 26-10-2012
Bedini A, Owczarek AL and Prellberg T (2012). Weighting of topologically different interactions in a model of
two-dimensional polymer collapse. Phys. Rev. E vol. 87 26-10-2012
Rensburg EJJV and Prellberg T (2012). The pressure exerted by adsorbing directed lattice paths and staircase
polygons. 09-10-2012
Touchette H, Prellberg T and Just W (2012). Exact power spectra of Brownian motion with solid friction. J. Phys. A: Math. Theor. 45, 395002, 2012 vol. 45 (39) 18-05-2012
Prellberg T (2012). From Rosenbluth Sampling to PERM - rare event sampling with stochastic
growth algorithms. 16-05-2012
2011
Owczarek AL and Prellberg T (2011). Exact solution of a model of a vesicle attached to a wall subject to
mechanical deformation. 14-11-2011
Bedini A, Owczarek AL and Prellberg T (2011). Anomalous critical behaviour in the polymer collapse transition of
three-dimensional lattice trails. Phys. Rev. E vol. 86 11-11-2011
Brak R, Iliev GK and Prellberg T (2011). An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths. JOURNAL OF STATISTICAL PHYSICS vol. 145 (3), 669-685. 01-11-2011
Brak R, Iliev GK and Prellberg T (2011). An infinite family of adsorption models and restricted Lukasiewicz paths. 02-05-2011
Bastian J, Prellberg T, Rubey M and Stump C (2011). Counting the number of elements in the mutation classes of (A)over-tilde(n)-quivers. ELECTRON J COMB vol. 18 (1) 29-04-2011
2010
Owczarek AL and 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) 01-09-2010
Krawczyk J, Owczarek AL and Prellberg T (2010). A semi-flexible attracting segment model of two-dimensional polymer collapse. PHYSICA A vol. 389 (8), 1619-1624. 15-04-2010
Doukas J, Owczarek AL and 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. 13-04-2010
Owczarek AL and Prellberg T (2010). Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit
with Field and Wall Interactions. 10-04-2010
Owczarek AL and Prellberg T (2010). Enumeration of area-weighed Dyck paths with restricted height. 10-04-2010
Owczarek AL and Prellberg T (2010). A simple model of a vesicle drop in a confined geometry. 08-04-2010
Cameron P, Prellberg T and Stark D (2010). Asymptotic enumeration of 2-covers and line graphs. 28-01-2010
2009
Owczarek AL and 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) 11-12-2009
Owczarek AL and 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) 01-12-2009
Bandtlow OF, Fiala J, Kleban P and Prellberg T (2009). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical
Point. 15-09-2009
Bastian J, Prellberg T, Rubey M and 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 02-06-2009
Briggs KM, Song L and Prellberg T (2009). A note on the distribution of the maximum of a set of Poisson random
variables. 25-03-2009
Brak R, Dyke P, Lee J, Owczarek AL, Prellberg T, Rechnitzer A and Whittington SG (2009). A self-interacting partially directed walk subject to a force. J PHYS A-MATH THEOR vol. 42 (8) 27-02-2009
Krawczyk J, Owczarek AL and Prellberg T (2009). Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers. PHYSICA A vol. 388 (2-3), 104-112. 15-01-2009
2008
Corteel S, Josuat-Verges M, Prellberg T and 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 27-11-2008
Owczarek AL and Prellberg T (2008). Scaling of the atmosphere of self-avoiding walks. J PHYS A-MATH THEOR vol. 41 (37) 19-09-2008
Cameron PJ, Johannsen D, Prellberg T and Schweitzer P (2008). Counting defective parking functions. ELECTRON J COMB vol. 15 14-07-2008
Krawczyk J, Owczarek AL and Prellberg T (2008). Polymers with self-attraction and stiffness: a generic phase structure. 09-07-2008
Bailey RF and Prellberg T (2008). Decoding generalised hyperoctahedral groups and asymptotic analysis of
correctible error patterns. 02-07-2008
van Rensburg EJJ, Prellberg T and Rechnitzer A (2008). Partially directed paths in a wedge. J COMB THEORY A vol. 115 (4), 623-650. 01-05-2008
Owczarek AL, Prellberg T and Rechnitzer A (2008). Finite-size scaling functions for directed polymers confined between attracting walls. J PHYS A-MATH THEOR vol. 41 (3) 25-01-2008
2007
Van Rensburg EJJ, Prellberg T and Rechnitzer A (2007). Partially directed paths in a symmetric wedge. FPSAC'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics 01-12-2007
van Rensburg EJJ, Prellberg T and Rechnitzer A (2007). Directed paths in a wedge. J PHYS A-MATH THEOR vol. 40 (47), 14069-14084. 23-11-2007
Owczarek AL, Rechnitzer A, Krawczyk J and 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. 02-11-2007
Owczarek AL and Prellberg T (2007). Exact solution of semi-flexible and super-flexible interacting partially directed walks. J STAT MECH-THEORY E (11) 01-11-2007
Krawczyk J, Owczarek AL and Prellberg T (2007). The competition of hydrogen-like and isotropic interactions on polymer collapse. J STAT MECH-THEORY E (9) 01-09-2007
Krawczyk J, Owczarek AL, Prellberg T and Rechnitzer A (2007). Controlling Secondary Structures of Bio-Polymers with Hydrogen-Like
Bonding. 12-06-2007
Owczarek AL and Prellberg T (2007). Collapse transition of self-avoiding trails on the square lattice. PHYSICA A vol. 373, 433-438. 01-01-2007
2006
Cameron P, Prellberg T and Stark D (2006). Asymptotics for incidence matrix classes. ELECTRON J COMB vol. 13 (1) 12-10-2006
Krawczyk J, Prellberg T, Owczarek AL and Rechnitzer A (2006). Self-avoiding random walk with multiple site weightings and restrictions. PHYS REV LETT vol. 96 (24) 23-06-2006
Prellberg T, Fiala J and Kleban P (2006). Cluster approximation for the Farey fraction spin chain. J STAT PHYS vol. 123 (2), 455-471. 01-04-2006
Cameron P, Prellberg T and Stark D (2006). Asymptotic enumeration of incidence matrices., Editors: DeGier J and Warnaar O. 01-01-2006
Prellberg T, Krawczyk J and Rechnitzer A (2006). Polymer Simulations with a flat histogram stochastic growth algorithm., Editors: Landau DP, Lewis SP and Schuttler HB. 01-01-2006
2005
Krawczyk J, Owczarek AL, Prellberg T and Rechnitzer A (2005). Layering transitions for adsorbing polymers in poor solvents. EUROPHYS LETT vol. 70 (6), 726-732. 01-06-2005
Krawczyk J, Owczarek AL, Prellberg T and Rechnitzer A (2005). Pulling absorbing and collapsing polymers from a surface. J STAT MECH-THEORY E 01-05-2005
2004
Krawczyk J, Prellberg T, Owczarek AL and Rechnitzer A (2004). Stretching of a chain polymer adsorbed at a surface. J STAT MECH-THEORY E 01-10-2004
2003
Prellberg T and Stanton D (2003). Proof of a monotonicity conjecture. J COMB THEORY A vol. 103 (2), 377-381. 01-08-2003
Owczarek AL and 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. 01-06-2003
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. 14-03-2003
Owczarek AL and Prellberg T (2003). Scaling near the theta point for isolated polymers in solution. PHYS REV E vol. 67 (3) 01-03-2003
Prellberg T and Owczarek AL (2003). Polymer collapse in high dimensions: Monte Carlo simulation of lattice models., Editors: Landau DP, Lewis SP and Schuttler HB. 01-01-2003
Berg S, Prellberg T and Johannsmann D (2003). Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators. REV SCI INSTRUM vol. 74 (1), 118-126. 01-01-2003
2002
Prellberg T and Owczarek AL (2002). Pseudo-first-order transition in interacting self-avoiding walks and trails. COMPUTER PHYSICS COMMUNICATIONS vol. 147 (1-2), 629-632. 01-08-2002
2001
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. 02-11-2001
Prellberg T and Owczarek AL (2001). Four-dimensional polymer collapse II: interacting self-avoiding trails. PHYSICA A vol. 297 (3-4), 275-290. 15-08-2001
Owczarek AL and Prellberg T (2001). Scaling of self-avoiding walks in high dimensions. J PHYS A-MATH GEN vol. 34 (29), 5773-5780. 27-07-2001
Prellberg T (2001). On the Asymptotics of Takeuchi Numbers. Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics 231-242. 01-01-2001
2000
Prellberg T and 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. 01-09-2000
Owczarek AL and Prellberg T (2000). First-order scaling near a second-order phase transition: Tricritical polymer collapse. EUROPHYS LETT vol. 51 (6), 602-607. 01-09-2000
1999
Marchetti MC, Middleton AA and Prellberg T (1999). Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops. Physical Review Letters vol. 85, 1104-1107. 27-12-1999
Prellberg T and 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. 01-04-1999
1998
Owczarek AL and Prellberg T (1998). Existence of four-dimensional polymer collapse I. Kinetic growth trails. PHYSICA A vol. 260 (1-2), 20-30. 01-11-1998
Drossel B and Prellberg T (1998). Dynamics of a single particle in a horizontally shaken box. EUR PHYS J B vol. 1 (4), 533-543. 01-02-1998
Prellberg T and Drossel B (1998). Winding angles for two-dimensional polymers with orientation-dependent interactions. PHYS REV E vol. 57 (2), 2045-2052. 01-02-1998
Prellberg T and Drossel B (1998). Winding-angle distribution for two-dimensional polymers at the theta-point. 01-02-1998
1997
Prellberg T (1997). The statistical mechanics of vesicles. MATH COMPUT MODEL vol. 26 (8-10), 321-321. 01-10-1997
1995
PRELLBERG T and OWCZAREK AL (1995). STACKING MODELS OF VESICLES AND COMPACT CLUSTERS. J STAT PHYS vol. 80 (3-4), 755-779. 01-08-1995
OWCZAREK AL and 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. 01-06-1995
GUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D and PRELLBERG T (1995). RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL. 01-04-1995
PRELLBERG T (1995). UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS. J PHYS A-MATH GEN vol. 28 (5), 1289-1304. 07-03-1995
Prellberg T and 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. 01-03-1995
PRELLBERG T and BRAK R (1995). CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS. J STAT PHYS vol. 78 (3-4), 701-730. 01-02-1995
1994
OWCZAREK AL, PRELLBERG T, BENNETTWOOD D and GUTTMANN AJ (1994). UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS. J PHYS A-MATH GEN vol. 27 (24), L919-L925. 21-12-1994
BRAK R, OWCZAREK AL and PRELLBERG T (1994). EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES. J STAT PHYS vol. 76 (5-6), 1101-1128. 01-09-1994
BENNETTWOOD D, OWCZAREK AL and PRELLBERG T (1994). CROSSOVER IN SMART KINETIC GROWTH WALKS. PHYSICA A vol. 206 (3-4), 283-288. 15-05-1994
OWCZAREK AL and PRELLBERG T (1994). INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE. 01-04-1994
PRELLBERG T and 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. 21-03-1994
BENNETTWOOD D, BRAK R, GUTTMANN AJ, OWCZAREK AL and PRELLBERG T (1994). LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS. J PHYS A-MATH GEN vol. 27 (2), L1-L8. 21-01-1994
1993
Owczarek AL, Prellberg T and Brak R (1993). Owczarek, Prellberg, and Brak reply. Phys Rev Lett vol. 71 (25) 20-12-1993
OWCZAREK AL, PRELLBERG T and BRAK R (1993). EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY. PHYS REV LETT vol. 71 (25), 4275-4275. 20-12-1993
GUTTMANN AJ, PRELLBERG T and OWCZAREK AL (1993). ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS. J PHYS A-MATH GEN vol. 26 (23), 6615-6623. 07-12-1993
Prellberg T, Owczarek AL, Brak R and 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. 01-10-1993
BRAK R, OWCZAREK AL and 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. 21-09-1993
OWCZAREK AL, PRELLBERG T and BRAK R (1993). THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS. J STAT PHYS vol. 72 (3-4), 737-772. 01-08-1993
Guttmann AJ and 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. 01-04-1993
OWCZAREK AL and 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. 01-03-1993
Owczarek AL, Prellberg T and Brak R (1993). New scaling form for the collapsed polymer phase. Phys Rev Lett vol. 70 (7), 951-953. 15-02-1993
1992
PRELLBERG T and SLAWNY J (1992). MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS. J STAT PHYS vol. 66 (1-2), 503-514. 01-01-1992
1989
HARBORTH H, OERTEL P and PRELLBERG T (1989). NO-3-IN-LINE FOR 17 AND 19. DISCRETE MATH vol. 73 (1-2), 89-90. 01-01-1989
1988
Harborth H, Oertel P and Prellberg T (1988). No-three-in-line for seventeen and nineteen. Discrete Mathematics vol. 73 (1-2), 89-90. 01-01-1988