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
Improving Convergence of Generalised Rosenbluth Sampling for Branched
Polymer Models by Uniform SamplingRoberts T and Prellberg T
Journal of Physics a: Mathematical and General, Iop Publishing
22-01-2024
2023
Universality class of the special adsorption point of two-dimensional lattice polymersRodrigues NT, Oliveira TJ and Prellberg T
Physical Review E, American Physical Society (Aps) vol. 108 (2)
01-08-2023
On the universality class of the special adsorption point of two-dimensional lattice polymersRodrigues NT, Oliveira TJ and Prellberg T
16-05-2023
2021
Skew Schur function representation of directed paths in a slitKhalid A and Prellberg T
Journal of Combinatorics, International Press of Boston vol. 12 (4), 571-588.
01-01-2021
2020
Multicritical scaling in a lattice model of vesiclesHaug N and Prellberg T
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 53 (26)
10-06-2020
2019
Adsorption of two-dimensional polymers with two- and three-body self-interactionsRodrigues NT, Oliveira TJ, Prellberg T and Owczarek AL
Physical Review E, American Physical Society
27-12-2019
Adsorption of interacting self-avoiding trails in two dimensionsRodrigues NT, Prellberg T and Owczarek AL
Physical Review E
15-08-2019
Enumerating path diagrams in connection with $q$-tangent and $q$-secant
numbersKhalid A and Prellberg T
09-07-2019
Phase transitions in solvent dependent polymer adsorption in three
dimensionsBradly CJ, Owczarek AL and Prellberg T
Physical Review E, American Physical Society
13-06-2019
Exact solution of pulled, directed vesicles with sticky walls in two
dimensionsOwczarek A and Prellberg T
Journal of Mathematical Physics, Aip Publishing
21-03-2019
2018
Adsorption of neighbor-avoiding walks on the simple cubic latticeBradly CJ, Owczarek AL and Prellberg T
Physical Review E vol. 98 (6)
27-12-2018
Universality of crossover scaling for the adsorption transition of
lattice polymersBradly CJ, Owczarek AL and Prellberg T
Physical Review E, American Physical Society
16-02-2018
Anomalous polymer collapse winding angle distributionsNarros A, Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical, Iop Publishing
15-02-2018
2017
Solution of semi-flexible self-avoiding trails on a Husimi lattice built
with squaresOliveira TJ, Dantas WG, Prellberg T and Stilck JÜF
Journal of Physics a: Mathematical and Theoretical, Iop Publishing
29-11-2017
Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent
QualityDagrosa E, Owczarek AL and Prellberg T
Jstat
26-10-2017
Writhe induced phase transition in unknotted self-avoiding polygonsDagrosa E, Owczarek AL and Prellberg T
Journal of Statistical Mechanics: Theory and Experiment, Iop Publishing
21-09-2017
Area-width scaling in generalised Motzkin pathsHaug N, Prellberg T and Siudem G
Physica a: Statistical Mechanics and Its Applications, Elsevier
08-05-2017
Grand-canonical solution of semi-flexible self-avoiding trails on the
Bethe latticeDantas WG, Oliveira TJ, Stilck JF and Prellberg T
Physical Review E, Sage Publications
24-02-2017
Self-attracting polymers in two dimensions with three low-temperature
phasesBedini A, Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical
30-01-2017
Higher-order Airy scaling in deformed Dyck pathsHaug N, Daalhuis AO and Prellberg T
Journal of Statistical Physics, Springer Verlag (Germany)
03-01-2017
2016
The role of three-body interactions in two-dimensional polymer collapseBedini A, Owczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical, Iop Publishing: Hybrid Open Access vol. 49 (21)
20-04-2016
Forces and pressures in adsorbing partially directed walksRensburg EJJV and Prellberg T
Journal of Physics a: Mathematical and Theoretical vol. 49 (20), 205001-205001.
18-04-2016
Winding angle distributions for two-dimensional collapsing polymersNarros A, Owczarek AL and Prellberg T
Journal of Physics Conference Series, Iop Publishing vol. 686 (1)
01-01-2016
2015
A semi-flexible attracting-segment model of three-dimensional polymer collapseKrawczyk J, Owczarek AL and Prellberg T
Physica a: Statistical Mechanics and Its Applications vol. 431, 74-83.
01-08-2015
Uniform asymptotics of area-weighted Dyck pathsHaug N and Prellberg T
Journal of Mathematical Physics, Aip Publishing vol. 56 (4)
01-04-2015
2014
2013
Lattice polymers with two competing collapse interactionsBedini A, Owczarek AL and Prellberg T
05-11-2013
Semi-flexible interacting self-avoiding trails on the square latticeBedini A, Owczarek AL and Prellberg T
Physica a: Statistical Mechanics and Its Applications, Elsevier/Science Direct vol. 392 (7), 1602-1610.
01-04-2013
2012
Numerical simulation of a lattice polymer model at its integrable pointBedini A, Owczarek AL and Prellberg T
01-11-2012
Semi-flexible interacting self-avoiding trails on the square latticeBedini A, Owczarek AL and Prellberg T
Issue vol. 7
30-10-2012
Self-avoiding trails with nearest neighbour interactions on the square
latticeBedini A, Owczarek AL and Prellberg T
26-10-2012
Weighting of topologically different interactions in a model of
two-dimensional polymer collapseBedini A, Owczarek AL and Prellberg T
Phys. Rev. E vol. 87
26-10-2012
The pressure exerted by adsorbing directed lattice paths and staircase
polygonsRensburg EJJV and Prellberg T
09-10-2012
Exact power spectra of Brownian motion with solid frictionTouchette H, Prellberg T and Just W
J. Phys. a: Math. Theor. 45, 395002, 2012 vol. 45 (39)
18-05-2012
From Rosenbluth Sampling to PERM - rare event sampling with stochastic
growth algorithmsPrellberg T
16-05-2012
2011
Exact solution of a model of a vesicle attached to a wall subject to
mechanical deformationOwczarek AL and Prellberg T
14-11-2011
Anomalous critical behaviour in the polymer collapse transition of
three-dimensional lattice trailsBedini A, Owczarek AL and Prellberg T
Phys. Rev. E vol. 86
11-11-2011
An Infinite Family of Adsorption Models and Restricted Lukasiewicz PathsBrak R, Iliev GK and Prellberg T
Journal of Statistical Physics vol. 145 (3), 669-685.
01-11-2011
An infinite family of adsorption models and restricted Lukasiewicz pathsBrak R, Iliev GK and Prellberg T
02-05-2011
Counting the number of elements in the mutation classes of (A)over-tilde(n)-quiversBastian 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 interactionsOwczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical vol. 43 (37)
01-09-2010
A semi-flexible attracting segment model of two-dimensional polymer collapseKrawczyk J, Owczarek AL and Prellberg T
Physica A vol. 389 (8), 1619-1624.
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 polymersDoukas J, Owczarek AL and Prellberg T
13-04-2010
Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit
with Field and Wall InteractionsOwczarek AL and Prellberg T
10-04-2010
2009
Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactionsOwczarek AL and Prellberg T
J Phys a-Math Theor vol. 42 (49)
11-12-2009
Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactionsOwczarek AL and Prellberg T
Journal of Physics a: Mathematical and Theoretical vol. 42 (49)
01-12-2009
Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical
PointBandtlow OF, Fiala J, Kleban P and Prellberg T
15-09-2009
Counting the number of elements in the mutation classes of
\tilde{A}_n-quiversBastian 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
variablesBriggs KM, Song L and Prellberg T
25-03-2009
A self-interacting partially directed walk subject to a forceBrak R, Dyke P, Lee J, Owczarek AL, Prellberg T, Rechnitzer A and Whittington SG
J Phys a-Math Theor vol. 42 (8)
27-02-2009
Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymersKrawczyk J, Owczarek AL and Prellberg T
Physica A vol. 388 (2-3), 104-112.
15-01-2009
2008
Matrix Ansatz, lattice paths and rook placementsCorteel 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 walksOwczarek AL and Prellberg T
J Phys a-Math Theor vol. 41 (37)
19-09-2008
Counting defective parking functionsCameron PJ, Johannsen D, Prellberg T and Schweitzer P
Electron J Comb vol. 15
14-07-2008
Polymers with self-attraction and stiffness: a generic phase structureKrawczyk J, Owczarek AL and Prellberg T
09-07-2008
Decoding generalised hyperoctahedral groups and asymptotic analysis of
correctible error patternsBailey RF and Prellberg T
02-07-2008
Partially directed paths in a wedgevan Rensburg EJJ, Prellberg T and Rechnitzer A
J Comb Theory A vol. 115 (4), 623-650.
01-05-2008
Finite-size scaling functions for directed polymers confined between attracting wallsOwczarek AL, Prellberg T and Rechnitzer A
J Phys a-Math Theor vol. 41 (3)
25-01-2008
2007
Partially directed paths in a symmetric wedgeVan 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 wedgevan Rensburg EJJ, Prellberg T and Rechnitzer A
J Phys a-Math Theor vol. 40 (47), 14069-14084.
23-11-2007
On the location of the surface-attached globule phase in collapsing polymersOwczarek AL, Rechnitzer A, Krawczyk J and Prellberg T
J Phys a-Math Theor vol. 40 (44), 13257-13267.
02-11-2007
Exact solution of semi-flexible and super-flexible interacting partially directed walksOwczarek AL and Prellberg T
J Stat Mech-Theory E (11)
01-11-2007
The competition of hydrogen-like and isotropic interactions on polymer collapseKrawczyk J, Owczarek AL and Prellberg T
J Stat Mech-Theory E (9)
01-09-2007
Controlling Secondary Structures of Bio-Polymers with Hydrogen-Like
BondingKrawczyk J, Owczarek AL, Prellberg T and Rechnitzer A
12-06-2007
Collapse transition of self-avoiding trails on the square latticeOwczarek AL and Prellberg T
Physica A vol. 373, 433-438.
01-01-2007
2006
Asymptotics for incidence matrix classesCameron P, Prellberg T and Stark D
Electron J Comb vol. 13 (1)
12-10-2006
Self-avoiding random walk with multiple site weightings and restrictionsKrawczyk J, Prellberg T, Owczarek AL and Rechnitzer A
Phys Rev Lett vol. 96 (24)
23-06-2006
Cluster approximation for the Farey fraction spin chainPrellberg T, Fiala J and Kleban P
J Stat Phys vol. 123 (2), 455-471.
01-04-2006
Asymptotic enumeration of incidence matricesCameron P, Prellberg T and Stark D
, Editors: DeGier J and Warnaar O.
01-01-2006
Polymer Simulations with a flat histogram stochastic growth algorithmPrellberg T, Krawczyk J and Rechnitzer A
, Editors: Landau DP, Lewis SP and Schuttler HB.
01-01-2006
2005
Layering transitions for adsorbing polymers in poor solventsKrawczyk J, Owczarek AL, Prellberg T and Rechnitzer A
Europhys Lett vol. 70 (6), 726-732.
01-06-2005
Pulling absorbing and collapsing polymers from a surfaceKrawczyk J, Owczarek AL, Prellberg T and Rechnitzer A
J Stat Mech-Theory E
01-05-2005
2004
Stretching of a chain polymer adsorbed at a surfaceKrawczyk J, Prellberg T, Owczarek AL and Rechnitzer A
J Stat Mech-Theory E
01-10-2004
2003
Proof of a monotonicity conjecturePrellberg T and Stanton D
J Comb Theory A vol. 103 (2), 377-381.
01-08-2003
Monte carlo investigation of lattice models of polymer collapse in five dimensionsOwczarek AL and Prellberg T
Int J Mod Phys C vol. 14 (5), 621-633.
01-06-2003
Towards a complete determination of the spectrum of a transfer operator associated with intermittencyPrellberg T
J Phys a-Math Gen vol. 36 (10), 2455-2461.
14-03-2003
Scaling near the theta point for isolated polymers in solutionOwczarek AL and Prellberg T
Phys Rev E vol. 67 (3)
01-03-2003
Polymer collapse in high dimensions: Monte Carlo simulation of lattice modelsPrellberg T and Owczarek AL
, Editors: Landau DP, Lewis SP and Schuttler HB.
01-01-2003
Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonatorsBerg S, Prellberg T and Johannsmann D
Rev Sci Instrum vol. 74 (1), 118-126.
01-01-2003
2002
Pseudo-first-order transition in interacting self-avoiding walks and trailsPrellberg T and Owczarek AL
Computer Physics Communications vol. 147 (1-2), 629-632.
01-08-2002
2001
Scaling of self-avoiding walks and self-avoiding trails in three dimensionsPrellberg T
J Phys a-Math Gen vol. 34 (43), L599-L602.
02-11-2001
Four-dimensional polymer collapse II: interacting self-avoiding trailsPrellberg T and Owczarek AL
Physica A vol. 297 (3-4), 275-290.
15-08-2001
Scaling of self-avoiding walks in high dimensionsOwczarek AL and Prellberg T
J Phys a-Math Gen vol. 34 (29), 5773-5780.
27-07-2001
On the Asymptotics of Takeuchi NumbersPrellberg T
In Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics, Springer Nature 231-242.
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.
01-09-2000
First-order scaling near a second-order phase transition: Tricritical polymer collapseOwczarek AL and Prellberg T
Europhys Lett vol. 51 (6), 602-607.
01-09-2000
1999
Viscoelastic Depinning of Driven Systems: Mean-Field Plastic ScallopsMarchetti MC, Middleton AA and Prellberg T
Physical Review Letters vol. 85, 1104-1107.
27-12-1999
On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesiclesPrellberg T and Owczarek AL
Commun Math Phys vol. 201 (3), 493-505.
01-04-1999
1998
Existence of four-dimensional polymer collapse I. Kinetic growth trailsOwczarek AL and Prellberg T
Physica A vol. 260 (1-2), 20-30.
01-11-1998
Dynamics of a single particle in a horizontally shaken boxDrossel B and Prellberg T
Eur Phys J B vol. 1 (4), 533-543.
01-02-1998
Winding angles for two-dimensional polymers with orientation-dependent interactionsPrellberg T and Drossel B
Phys Rev E vol. 57 (2), 2045-2052.
01-02-1998
Winding-angle distribution for two-dimensional polymers at the theta-pointPrellberg T and Drossel B
01-02-1998
1997
The statistical mechanics of vesiclesPrellberg T
Math Comput Model vol. 26 (8-10), 321-321.
01-10-1997
1995
STACKING MODELS OF VESICLES AND COMPACT CLUSTERSPRELLBERG T and OWCZAREK AL
J Stat Phys vol. 80 (3-4), 755-779.
01-08-1995
THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONSOWCZAREK AL and PRELLBERG T
J Stat Phys vol. 79 (5-6), 951-967.
01-06-1995
RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODELGUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D and PRELLBERG T
01-04-1995
UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONSPRELLBERG T
J Phys a-Math Gen vol. 28 (5), 1289-1304.
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.
01-03-1995
CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELSPRELLBERG T and BRAK R
J Stat Phys vol. 78 (3-4), 701-730.
01-02-1995
1994
UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERSOWCZAREK AL, PRELLBERG T, BENNETTWOOD D and GUTTMANN AJ
J Phys a-Math Gen vol. 27 (24), L919-L925.
21-12-1994
EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLESBRAK R, OWCZAREK AL and PRELLBERG T
J Stat Phys vol. 76 (5-6), 1101-1128.
01-09-1994
CROSSOVER IN SMART KINETIC GROWTH WALKSBENNETTWOOD D, OWCZAREK AL and PRELLBERG T
Physica A vol. 206 (3-4), 283-288.
15-05-1994
INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSEOWCZAREK AL and PRELLBERG T
01-04-1994
MANHATTAN LATTICE THETA-POINT EXPONENTS FROM KINETIC GROWTH WALKS AND EXACT RESULTS FROM THE NIENHUIS O(N) MODELPRELLBERG T and OWCZAREK AL
J Phys a-Math Gen vol. 27 (6), 1811-1826.
21-03-1994
LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTSBENNETTWOOD D, BRAK R, GUTTMANN AJ, OWCZAREK AL and PRELLBERG T
J Phys a-Math Gen vol. 27 (2), L1-L8.
21-01-1994
1993
Owczarek, Prellberg, and Brak reply.Owczarek AL, Prellberg T and Brak R
Phys Rev Lett vol. 71 (25)
20-12-1993
EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLYOWCZAREK AL, PRELLBERG T and BRAK R
Phys Rev Lett vol. 71 (25), 4275-4275.
20-12-1993
ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKSGUTTMANN AJ, PRELLBERG T and OWCZAREK AL
J Phys a-Math Gen vol. 26 (23), 6615-6623.
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.
01-10-1993
A SCALING THEORY OF THE COLLAPSE TRANSITION IN GEOMETRIC CLUSTER-MODELS OF POLYMERS AND VESICLESBRAK R, OWCZAREK AL and PRELLBERG T
J Phys a-Math Gen vol. 26 (18), 4565-4579.
21-09-1993
THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKSOWCZAREK AL, PRELLBERG T and BRAK R
J Stat Phys vol. 72 (3-4), 737-772.
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.
01-04-1993
EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONSOWCZAREK AL and PRELLBERG T
J Stat Phys vol. 70 (5-6), 1175-1194.
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.
15-02-1993
1992
MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONSPRELLBERG T and SLAWNY J
J Stat Phys vol. 66 (1-2), 503-514.
01-01-1992
1989
NO-3-IN-LINE FOR 17 AND 19HARBORTH H, OERTEL P and PRELLBERG T
Discrete Math vol. 73 (1-2), 89-90.
01-01-1989
1988
No-three-in-line for seventeen and nineteenHarborth H, Oertel P and Prellberg T
Discrete Mathematics vol. 73 (1-2), 89-90.
01-01-1988