School of Mathematical Sciences

Professor Thomas Prellberg

Thomas

Professor of Mathematics

Email: t.prellberg@qmul.ac.uk
Telephone: +44 (0)20 7882 5490
Room Number: Queens’ Building, Room: CB315
Website: http://www.maths.qmul.ac.uk/~tp/
Office Hours: Extended office hours during revision week: Wednesday and Friday, 11:30-12:30 and 14:00-16:30. Also by email appointment.

Profile

Thomas Prellberg is a Professor of Mathematics at the School of Mathematical Sciences at Queen Mary University of London. His research interests are lattice statistical mechanics, enumerative and asymptotic combinatorics, dynamical systems, Monte Carlo algorithms, and soft condensed matter. He is affiliated with the Technical University Clausthal in Germany, where he holds the title of Professor.

Research

Publications

  • PRELLBERG T (2018). Dataset: Anomalous polymer collapse winding angle distributions journal.
  • Oliveira TJ, Dantas WG, Prellberg T et al. (2017). Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares Journal of Physics A: Mathematical and Theoretical.
  • Dantas WG, Oliveira TJ, Stilck JF et al. (publicationYear). 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 (publicationYear). Higher-order Airy scaling in deformed Dyck paths Journal of Statistical Physics.
  • 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.
  • NARROS A, PRELLBERG T, OWCZARECK A (2015). Dataset: Winding angle distributions for two-dimensional collapsing polymers journal.
  • Dagrosa E, Owczarek AL, Prellberg T (2015). Writhe-induced knotting in a lattice polymer Journal of Physics A: Mathematical and Theoretical.
  • Mortimer PRG, Prellberg T (2015). On the number of walks in a triangular domain Electronic Journal of Combinatorics.
  • Bedini A, Owczarek AL, Prellberg T (2014). Lattice polymers with two competing collapse interactions Journal of Physics A: Mathematical and Theoretical.
  • Owczarek AL, Prellberg T (2014). Pressure exerted by a vesicle on a surface Journal of Physics A: Mathematical and Theoretical.
  • Bedini A, Owczarek AL, Prellberg T (2013). Numerical simulation of a lattice polymer model at its integrable point Journal of Physics A: Mathematical and Theoretical.
  • Bedini A, Owczarek AL, Prellberg T (2013). Semi-flexible interacting self-avoiding trails on the square lattice Physica A: Statistical Mechanics and its Applications.
  • Van Rensburg EJJ, Prellberg T (2013). The pressure exerted by adsorbing directed lattice paths and staircase polygons Journal of Physics A: Mathematical and Theoretical.
  • Bedini A, Owczarek AL, Prellberg T (2013). Self-avoiding trails with nearest-neighbour interactions on the square lattice Journal of Physics A: Mathematical and Theoretical.
  • Bedini A, Owczarek AL, Prellberg T (2013). Semi-flexible interacting self-avoiding trails on the square lattice Physica A: Statistical Mechanics and its Applications.
  • Bedini A, Owczarek AL, Prellberg T (2013). Weighting of topologically different interactions in a model of two-dimensional polymer collapse. Phys Rev E Stat Nonlin Soft Matter Phys.
  • Owczarek AL, Prellberg T (2012). Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation Journal of Physics A: Mathematical and Theoretical.
  • Owczarek AL, Prellberg T (2012). Enumeration of area-weighted Dyck paths with restricted height Australasian Journal of Combinatorics.
  • Prellberg T (2012). Rare event sampling with stochastic growth algorithms journal.
  • Mortimer PRG, Prellberg T (2012). A Bijection on Bilateral Dyck Paths journal.
  • Bedini A, Owczarek AL, Prellberg T (2012). Anomalous critical behavior in the polymer collapse transition of three-dimensional lattice trails. Phys Rev E Stat Nonlin Soft Matter Phys.
  • Touchette H, Prellberg T, Just W (2012). Exact power spectra of Brownian motion with solid friction J. Phys. A: Math. Theor. 45, 395002, 2012.
  • Bailey RF, Prellberg T (2012). DECODING GENERALISED HYPEROCTAHEDRAL GROUPS AND ASYMPTOTIC ANALYSIS OF CORRECTIBLE ERROR PATTERNS CONTRIBUTIONS TO DISCRETE MATHEMATICS.
  • Brak R, Iliev GK, Prellberg T (2011). An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths JOURNAL OF STATISTICAL PHYSICS.
  • Bastian J, Prellberg T, Rubey M et al. (2011). Counting the number of elements in the mutation classes of Ãn-quivers Electronic Journal of Combinatorics.
  • Bastian J, Prellberg T, Rubey M et al. (2011). Counting the number of elements in the mutation classes of (A)over-tilde(n)-quivers ELECTRON J COMB.
  • Osborn J, Prellberg T (2010). Forcing adsorption of a tethered polymer by pulling Journal of Statistical Mechanics: Theory and Experiment.
  • 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.
  • 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.
  • Doukas J, Owczarek AL, Prellberg T (2010). Identification of a polymer growth process with an equilibrium multicritical collapse phase transition: the meeting point of swollen, collapsed, and crystalline polymers. Phys Rev E Stat Nonlin Soft Matter Phys.
  • Owczarek AL, Prellberg T (2010). A simple model of a vesicle drop in Aconfined geometry Journal of Statistical Mechanics: Theory and Experiment.
  • Krawczyk J, Owczarek AL, Prellberg T (2010). A semi-flexible attracting segment model of two-dimensional polymer collapse PHYSICA A.
  • Cameron P, Prellberg T, Stark D (2010). Asymptotic enumeration of 2-covers and line graphs DISCRETE MATHEMATICS.
  • 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.
  • 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.
  • Corteel S, Josuat-Vergès M, Prellberg T et al. (2009). Matrix Ansatz, lattice paths and rook placements FPSAC'09 - 21st International Conference on Formal Power Series and Algebraic Combinatorics.
  • Bandtlow OF, Fiala J, Kleban P et al. (2009). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point journal.
  • Brak R, Dyke P, Lee J et al. (2009). A self-interacting partially directed walk subject to a force J PHYS A-MATH THEOR.
  • Krawczyk J, Owczarek AL, Prellberg T (2009). Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers PHYSICA A.
  • Owczarek AL, Prellberg T (2008). Scaling of the atmosphere of self-avoiding walks J PHYS A-MATH THEOR.
  • Cameron PJ, Johannsen D, Prellberg T et al. (2008). Counting defective parking functions ELECTRON J COMB.
  • van Rensburg EJJ, Prellberg T, Rechnitzer A (2008). Partially directed paths in a wedge J COMB THEORY A.
  • Owczarek AL, Prellberg T, Rechnitzer A (2008). Finite-size scaling functions for directed polymers confined between attracting walls J PHYS A-MATH THEOR.
  • 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.
  • Owczarek AL, Rechnitzer A, Krawczyk J et al. (2007). On the location of the surface-attached globule phase in collapsing polymers J PHYS A-MATH THEOR.
  • Owczarek AL, Prellberg T (2007). Exact solution of semi-flexible and super-flexible interacting partially directed walks J STAT MECH-THEORY E.
  • Krawczyk J, Owczarek AL, Prellberg T et al. (2007). Lattice model for parallel and orthogonal beta sheets using hydrogenlike bonding. Phys Rev E Stat Nonlin Soft Matter Phys.
  • Krawczyk J, Owczarek AL, Prellberg T (2007). The competition of hydrogen-like and isotropic interactions on polymer collapse J STAT MECH-THEORY E.
  • Owczarek AL, Prellberg T (2007). Collapse transition of self-avoiding trails on the square lattice PHYSICA A.
  • Cameron P, Prellberg T, Stark D (2006). Asymptotics for incidence matrix classes ELECTRON J COMB.
  • Krawczyk J, Prellberg T, Owczarek AL et al. (2006). Self-avoiding random walk with multiple site weightings and restrictions PHYS REV LETT.
  • Prellberg T, Fiala J, Kleban P (2006). Cluster approximation for the Farey fraction spin chain J STAT PHYS.
  • Cameron P, Prellberg T, Stark D (2006). Asymptotic enumeration of incidence matrices International Workshop on Statistical Mechanics and Combinatorics: Counting Complexity.
  • Prellberg T, Krawczyk J, Rechnitzer A (2006). Polymer Simulations with a flat histogram stochastic growth algorithm Computer Simulation Studies in Condensed-Matter Physics XVI.
  • Krawczyk J, Owczarek AL, Prellberg T et al. (2005). Layering transitions for adsorbing polymers in poor solvents EUROPHYS LETT.
  • Krawczyk J, Owczarek AL, Prellberg T et al. (2005). Pulling absorbing and collapsing polymers from a surface J STAT MECH-THEORY E.
  • Krawczyk J, Prellberg T, Owczarek AL et al. (2004). Stretching of a chain polymer adsorbed at a surface J STAT MECH-THEORY E.
  • PRELLBERG T, Krawczyk J (2004). Flat histogram version of the pruned and enriched Rosenbluth method Physical Review Letters.
  • Prellberg T, Stanton D (2003). Proof of a monotonicity conjecture J COMB THEORY A.
  • Owczarek AL, Prellberg T (2003). Monte carlo investigation of lattice models of polymer collapse in five dimensions INT J MOD PHYS C.
  • Prellberg T (2003). Towards a complete determination of the spectrum of a transfer operator associated with intermittency J PHYS A-MATH GEN.
  • Owczarek AL, Prellberg T (2003). Scaling near the theta point for isolated polymers in solution PHYS REV E.
  • Berg S, Prellberg T, Johannsmann D (2003). Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators REV SCI INSTRUM.
  • Prellberg T, Owczarek AL (2003). Polymer collapse in high dimensions: Monte Carlo simulation of lattice models COMPUTER SIMULATION STUDIES IN CONDENSED-MATTER PHYSCIS XVI.
  • Prellberg T, Owczarek AL (2002). Pseudo-first-order transition in interacting self-avoiding walks and trails COMPUTER PHYSICS COMMUNICATIONS.
  • Prellberg T (2001). Scaling of self-avoiding walks and self-avoiding trails in three dimensions J PHYS A-MATH GEN.
  • Prellberg T, Owczarek AL (2001). Four-dimensional polymer collapse II: interacting self-avoiding trails PHYSICA A.
  • Owczarek AL, Prellberg T (2001). Scaling of self-avoiding walks in high dimensions J PHYS A-MATH GEN.
  • Owczarek AL, Prellberg T (2000). First-order scaling near a second-order phase transition: Tricritical polymer collapse EUROPHYS LETT.
  • 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.
  • Marchetti MC, Middleton AA, Prellberg T (2000). Viscoelastic depinning of driven systems: mean-field plastic scallops Phys Rev Lett.
  • Prellberg T, Owczarek AL (1999). On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles COMMUN MATH PHYS.
  • Owczarek AL, Prellberg T (1998). Existence of four-dimensional polymer collapse I. Kinetic growth trails PHYSICA A.
  • Drossel B, Prellberg T (1998). Dynamics of a single particle in a horizontally shaken box EUR PHYS J B.
  • Prellberg T, Drossel B (1998). Winding angles for two-dimensional polymers with orientation-dependent interactions PHYS REV E.
  • Prellberg T, Drossel B (1998). Winding-angle distribution for two-dimensional polymers at the theta-point PHYSICA A.
  • Prellberg T (1997). The statistical mechanics of vesicles MATH COMPUT MODEL.
  • PRELLBERG T, OWCZAREK AL (1995). STACKING MODELS OF VESICLES AND COMPACT CLUSTERS J STAT PHYS.
  • OWCZAREK AL, PRELLBERG T (1995). THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONS J STAT PHYS.
  • GUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D et al. (1995). RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL NUCLEAR PHYSICS B.
  • PRELLBERG T (1995). UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS J PHYS A-MATH GEN.
  • 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.
  • PRELLBERG T, BRAK R (1995). CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS J STAT PHYS.
  • OWCZAREK AL, PRELLBERG T, BENNETTWOOD D et al. (1994). UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS J PHYS A-MATH GEN.
  • BRAK R, OWCZAREK AL, PRELLBERG T (1994). EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES J STAT PHYS.
  • BENNETTWOOD D, OWCZAREK AL, PRELLBERG T (1994). CROSSOVER IN SMART KINETIC GROWTH WALKS PHYSICA A.
  • OWCZAREK AL, PRELLBERG T (1994). INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE PHYSICA A.
  • 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.
  • BENNETTWOOD D, BRAK R, GUTTMANN AJ et al. (1994). LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS J PHYS A-MATH GEN.
  • OWCZAREK AL, PRELLBERG T, BRAK R (1993). EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY PHYS REV LETT.
  • Owczarek AL, Prellberg T, Brak R (1993). Owczarek, Prellberg, and Brak reply. Phys Rev Lett.
  • GUTTMANN AJ, PRELLBERG T, OWCZAREK AL (1993). ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS J PHYS A-MATH GEN.
  • Prellberg T, Owczarek AL, Brak R et al. (1993). Finite-length scaling of collapsing directed walks. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics.
  • 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.
  • OWCZAREK AL, PRELLBERG T, BRAK R (1993). THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS J STAT PHYS.
  • 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.
  • OWCZAREK AL, PRELLBERG T (1993). EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS J STAT PHYS.
  • Owczarek AL, Prellberg T, Brak R (1993). New scaling form for the collapsed polymer phase. Phys Rev Lett.
  • PRELLBERG T, SLAWNY J (1992). MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS J STAT PHYS.
  • HARBORTH H, OERTEL P, PRELLBERG T (1989). NO-3-IN-LINE FOR 17 AND 19 DISCRETE MATH.
  • Harborth H, Oertel P, Prellberg T (1988). No-three-in-line for seventeen and nineteen Discrete Mathematics.

PhD Supervision

current:

former: