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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: Mathematical Sciences Building, Room: MB-523
Website: http://www.maths.qmul.ac.uk/~tp/
Office Hours: Online during term times, Tuesdays 12:30-13:30 at https://whereby.com/thomasprellberg I am also available via email appointments.

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

    • Haug N, Prellberg T (2020), Multicritical scaling in a lattice model of vesicles Journal of Physics A: Mathematical and Theoretical $nameOfConference
    • Rodrigues NT, Oliveira TJ, Prellberg T et al. (2019), Adsorption of two-dimensional polymers with two- and three-body self-interactions Physical Review E $nameOfConference
    • Rodrigues NT, Prellberg T, Owczarek AL (2019), Adsorption of interacting self-avoiding trails in two dimensions Physical Review E $nameOfConference
    • Khalid A, Prellberg T (2019), Skew Schur Function Representation of Directed Paths in a Slit $journal $nameOfConference
    • Khalid A, Prellberg T (2019), Enumerating path diagrams in connection with $q$-tangent and $q$-secant numbers $journal $nameOfConference
    • Bradly CJ, Owczarek AL, Prellberg T (publicationYear), Phase transitions in solvent dependent polymer adsorption in three dimensions Physical Review E $nameOfConference
    • Owczarek A, Prellberg T (publicationYear), Exact solution of pulled, directed vesicles with sticky walls in two dimensions Journal of Mathematical Physics $nameOfConference
    • Bradly CJ, Owczarek AL, Prellberg T (2018), Adsorption of neighbor-avoiding walks on the simple cubic lattice Physical Review E $nameOfConference
    • Bradly CJ, Owczarek AL, Prellberg T (2018), Universality of crossover scaling for the adsorption transition of lattice polymers Physical Review E $nameOfConference
    • Narros A, Owczarek AL, Prellberg T (2018), Anomalous polymer collapse winding angle distributions Journal of Physics A: Mathematical and Theoretical $nameOfConference
    • PRELLBERG T (2018), Dataset: Anomalous polymer collapse winding angle distributions $journal $nameOfConference
    • 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 $nameOfConference
    • Dagrosa E, Owczarek AL, Prellberg T (2017), Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality JSTAT $nameOfConference
    • Dagrosa E, Owczarek AL, Prellberg T (2017), Writhe induced phase transition in unknotted self-avoiding polygons Journal of Statistical Mechanics: Theory and Experiment $nameOfConference
    • Haug N, Prellberg T, Siudem G (publicationYear), Area-width scaling in generalised Motzkin paths Physica A: Statistical Mechanics and its Applications $nameOfConference
    • 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 $nameOfConference
    • 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 $nameOfConference
    • Haug N, Daalhuis AO, Prellberg T (publicationYear), Higher-order Airy scaling in deformed Dyck paths Journal of Statistical Physics $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2016), The role of three-body interactions in two-dimensional polymer collapse Journal of Physics A: Mathematical and Theoretical $nameOfConference
    • Rensburg EJJV, Prellberg T (2016), Forces and pressures in adsorbing partially directed walks Journal of Physics A: Mathematical and Theoretical $nameOfConference
    • Narros A, Owczarek AL, Prellberg T (2016), Winding angle distributions for two-dimensional collapsing polymers Journal of Physics: Conference Series $nameOfConference
    • 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 $nameOfConference
    • NARROS A, PRELLBERG T, OWCZARECK A (2015), Dataset: Winding angle distributions for two-dimensional collapsing polymers $journal $nameOfConference
    • Haug N, Prellberg T (2015), Uniform asymptotics of area-weighted Dyck paths Journal of Mathematical Physics $nameOfConference
    • Dagrosa E, Owczarek AL, Prellberg T (2014), Writhe-induced knotting in a lattice polymer $journal $nameOfConference
    • Mortimer PRG, Prellberg T (2014), On the Number of Walks in a Triangular Domain $journal $nameOfConference
    • Owczarek AL, Prellberg T (2013), Pressure exerted by a vesicle on a surface $journal $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2013), Lattice polymers with two competing collapse interactions $journal $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2013), Semi-flexible interacting self-avoiding trails on the square lattice Physica A: Statistical Mechanics and its Applications $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2012), Numerical simulation of a lattice polymer model at its integrable point $journal $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2012), Semi-flexible interacting self-avoiding trails on the square lattice Issue $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2012), Self-avoiding trails with nearest neighbour interactions on the square lattice $journal $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2012), Weighting of topologically different interactions in a model of two-dimensional polymer collapse Phys. Rev. E $nameOfConference
    • Rensburg EJJV, Prellberg T (2012), The pressure exerted by adsorbing directed lattice paths and staircase polygons $journal $nameOfConference
    • Prellberg T (2012), The combinatorics of the leading root of the partial theta function $journal $nameOfConference
    • Prellberg T (2012), Rare event sampling with stochastic growth algorithms $journal $nameOfConference
    • Mortimer PRG, Prellberg T (2012), A Bijection on Bilateral Dyck Paths $journal $nameOfConference
    • Touchette H, Prellberg T, Just W (2012), Exact power spectra of Brownian motion with solid friction J. Phys. A: Math. Theor. 45, 395002, 2012 $nameOfConference
    • Prellberg T (2012), From Rosenbluth Sampling to PERM - rare event sampling with stochastic growth algorithms $journal $nameOfConference
    • Owczarek AL, Prellberg T (2011), Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation $journal $nameOfConference
    • Bedini A, Owczarek AL, Prellberg T (2011), Anomalous critical behaviour in the polymer collapse transition of three-dimensional lattice trails Phys. Rev. E $nameOfConference
    • Brak R, Iliev GK, Prellberg T (2011), An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths JOURNAL OF STATISTICAL PHYSICS $nameOfConference
    • Brak R, Iliev GK, Prellberg T (2011), An infinite family of adsorption models and restricted Lukasiewicz paths $journal $nameOfConference
    • 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 $nameOfConference
    • 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 $nameOfConference
    • Osborn J-A, Prellberg T (2010), Forcing Adsorption of a Tethered Polymer by Pulling $journal $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T (2010), A semi-flexible attracting segment model of two-dimensional polymer collapse PHYSICA A $nameOfConference
    • Doukas J, Owczarek AL, 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 $journal $nameOfConference
    • Owczarek AL, Prellberg T (2010), Enumeration of area-weighed Dyck paths with restricted height $journal $nameOfConference
    • Owczarek AL, Prellberg T (2010), Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit with Field and Wall Interactions $journal $nameOfConference
    • Owczarek AL, Prellberg T (2010), A simple model of a vesicle drop in a confined geometry $journal $nameOfConference
    • Cameron P, Prellberg T, Stark D (2010), Asymptotic enumeration of 2-covers and line graphs DISCRETE MATHEMATICS $nameOfConference
    • 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 $nameOfConference
    • 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 $nameOfConference
    • Bandtlow OF, Fiala J, Kleban P et al. (2009), Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point $journal $nameOfConference
    • Bandtlow OF, Fiala J, Kleban P et al. (2009), Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point $journal $nameOfConference
    • Bastian J, Prellberg T, Rubey M et al. (2009), Counting the number of elements in the mutation classes of \tilde{A}_n-quivers Electron. J. Combin. 18 (2011), no. 1, P98 $nameOfConference
    • Briggs KM, Song L, Prellberg T (2009), A note on the distribution of the maximum of a set of Poisson random variables $journal $nameOfConference
    • Brak R, Dyke P, Lee J et al. (2009), A self-interacting partially directed walk subject to a force J PHYS A-MATH THEOR $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T (2009), Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers PHYSICA A $nameOfConference
    • Corteel S, Josuat-Verges M, Prellberg T et al. (2008), Matrix Ansatz, lattice paths and rook placements DMTCS Proceedings, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 313--324 $nameOfConference
    • Owczarek AL, Prellberg T (2008), Scaling of the atmosphere of self-avoiding walks J PHYS A-MATH THEOR $nameOfConference
    • Cameron PJ, Johannsen D, Prellberg T et al. (2008), Counting defective parking functions ELECTRON J COMB $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T (2008), Polymers with self-attraction and stiffness: a generic phase structure $journal $nameOfConference
    • Bailey RF, Prellberg T (2008), Decoding generalised hyperoctahedral groups and asymptotic analysis of correctible error patterns $journal $nameOfConference
    • van Rensburg EJJ, Prellberg T, Rechnitzer A (2008), Partially directed paths in a wedge J COMB THEORY A $nameOfConference
    • Owczarek AL, Prellberg T, Rechnitzer A (2008), Finite-size scaling functions for directed polymers confined between attracting walls J PHYS A-MATH THEOR $nameOfConference
    • 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 $nameOfConference
    • van Rensburg EJJ, Prellberg T, Rechnitzer A (2007), Directed paths in a wedge J PHYS A-MATH THEOR $nameOfConference
    • 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 $nameOfConference
    • Owczarek AL, Prellberg T (2007), Exact solution of semi-flexible and super-flexible interacting partially directed walks J STAT MECH-THEORY E $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T (2007), The competition of hydrogen-like and isotropic interactions on polymer collapse J STAT MECH-THEORY E $nameOfConference
    • Cameron P, Prellberg T, Stark D (2007), Asymptotic enumeration of 2-covers and line graphs $journal $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T et al. (2007), Controlling Secondary Structures of Bio-Polymers with Hydrogen-Like Bonding $journal $nameOfConference
    • Owczarek AL, Prellberg T (2007), Collapse transition of self-avoiding trails on the square lattice PHYSICA A $nameOfConference
    • Cameron P, Prellberg T, Stark D (2006), Asymptotics for incidence matrix classes ELECTRON J COMB $nameOfConference
    • Rensburg EJJV, Prellberg T, Rechnitzer A (2006), Partially directed paths in a wedge $journal $nameOfConference
    • Krawczyk J, Prellberg T, Owczarek AL et al. (2006), Self-avoiding random walk with multiple site weightings and restrictions PHYS REV LETT $nameOfConference
    • Prellberg T, Fiala J, Kleban P (2006), Cluster approximation for the Farey fraction spin chain J STAT PHYS $nameOfConference
    • Cameron P, Prellberg T, Stark D (2006), Asymptotic enumeration of incidence matrices International Workshop on Statistical Mechanics and Combinatorics: Counting Complexity $nameOfConference
    • Prellberg T, Krawczyk J, Rechnitzer A (2006), Polymer Simulations with a flat histogram stochastic growth algorithm Computer Simulation Studies in Condensed-Matter Physics XVI $nameOfConference
    • Cameron P, Prellberg T, Stark D (2005), Asymptotic enumeration of incidence matrices $journal $nameOfConference
    • Cameron P, Prellberg T, Stark D (2005), Asymptotics for incidence matrix classes $journal $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T et al. (2005), Layering transitions for adsorbing polymers in poor solvents EUROPHYS LETT $nameOfConference
    • Krawczyk J, Owczarek AL, Prellberg T et al. (2005), Pulling absorbing and collapsing polymers from a surface J STAT MECH-THEORY E $nameOfConference
    • Krawczyk J, Prellberg T, Owczarek AL et al. (2004), Stretching of a chain polymer adsorbed at a surface J STAT MECH-THEORY E $nameOfConference
    • Prellberg T, Krawczyk J (2003), Flat histogram PERM $journal $nameOfConference
    • Prellberg T, Stanton D (2003), Proof of a monotonicity conjecture J COMB THEORY A $nameOfConference
    • Owczarek AL, Prellberg T (2003), Monte carlo investigation of lattice models of polymer collapse in five dimensions INT J MOD PHYS C $nameOfConference
    • Prellberg T (2003), Towards a complete determination of the spectrum of a transfer operator associated with intermittency J PHYS A-MATH GEN $nameOfConference
    • Owczarek AL, Prellberg T (2003), Scaling near the theta point for isolated polymers in solution PHYS REV E $nameOfConference
    • Berg S, Prellberg T, Johannsmann D (2003), Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators REV SCI INSTRUM $nameOfConference
    • Prellberg T, Owczarek AL (2003), Polymer collapse in high dimensions: Monte Carlo simulation of lattice models COMPUTER SIMULATION STUDIES IN CONDENSED-MATTER PHYSCIS XVI $nameOfConference
    • Owczarek AL, Prellberg T (2002), Comment on `Stretched polymers in a poor solvent' $journal $nameOfConference
    • Prellberg T, Owczarek AL (2002), Pseudo-first-order transition in interacting self-avoiding walks and trails COMPUTER PHYSICS COMMUNICATIONS $nameOfConference
    • Prellberg T (2001), Scaling of self-avoiding walks and self-avoiding trails in three dimensions J PHYS A-MATH GEN $nameOfConference
    • Prellberg T, Owczarek AL (2001), Four-dimensional polymer collapse II: interacting self-avoiding trails PHYSICA A $nameOfConference
    • Owczarek AL, Prellberg T (2001), Scaling of self-avoiding walks in high dimensions J PHYS A-MATH GEN $nameOfConference
    • Owczarek AL, Prellberg T (2000), First-order scaling near a second-order phase transition: Tricritical polymer collapse EUROPHYS LETT $nameOfConference
    • 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 $nameOfConference
    • Prellberg T (2000), On the Asymptotics of Takeuchi Numbers $journal $nameOfConference
    • Marchetti MC, Middleton AA, Prellberg T (1999), Viscoelastic Depinning of Driven Systems: Mean-Field Plastic Scallops Physical Review Letters $nameOfConference
    • Prellberg T, Owczarek AL (1999), On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles COMMUN MATH PHYS $nameOfConference
    • Owczarek AL, Prellberg T (1998), Existence of four-dimensional polymer collapse I. Kinetic growth trails PHYSICA A $nameOfConference
    • Drossel B, Prellberg T (1998), Dynamics of a single particle in a horizontally shaken box EUR PHYS J B $nameOfConference
    • Prellberg T, Drossel B (1998), Winding angles for two-dimensional polymers with orientation-dependent interactions PHYS REV E $nameOfConference
    • Prellberg T, Drossel B (1998), Winding-angle distribution for two-dimensional polymers at the theta-point PHYSICA A $nameOfConference
    • Prellberg T (1997), The statistical mechanics of vesicles MATH COMPUT MODEL $nameOfConference
    • PRELLBERG T, OWCZAREK AL (1995), STACKING MODELS OF VESICLES AND COMPACT CLUSTERS J STAT PHYS $nameOfConference
    • OWCZAREK AL, PRELLBERG T (1995), THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONS J STAT PHYS $nameOfConference
    • GUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D et al. (1995), RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL NUCLEAR PHYSICS B $nameOfConference
    • PRELLBERG T (1995), UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS J PHYS A-MATH GEN $nameOfConference
    • 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 $nameOfConference
    • PRELLBERG T, BRAK R (1995), CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS J STAT PHYS $nameOfConference
    • OWCZAREK AL, PRELLBERG T, BENNETTWOOD D et al. (1994), UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS J PHYS A-MATH GEN $nameOfConference
    • BRAK R, OWCZAREK AL, PRELLBERG T (1994), EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES J STAT PHYS $nameOfConference
    • BENNETTWOOD D, OWCZAREK AL, PRELLBERG T (1994), CROSSOVER IN SMART KINETIC GROWTH WALKS PHYSICA A $nameOfConference
    • OWCZAREK AL, PRELLBERG T (1994), INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE PHYSICA A $nameOfConference
    • 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 $nameOfConference
    • BENNETTWOOD D, BRAK R, GUTTMANN AJ et al. (1994), LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS J PHYS A-MATH GEN $nameOfConference
    • OWCZAREK AL, PRELLBERG T, BRAK R (1993), EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY PHYS REV LETT $nameOfConference
    • Owczarek AL, Prellberg T, Brak R (1993), Owczarek, Prellberg, and Brak reply. Phys Rev Lett $nameOfConference
    • GUTTMANN AJ, PRELLBERG T, OWCZAREK AL (1993), ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS J PHYS A-MATH GEN $nameOfConference
    • 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 $nameOfConference
    • 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 $nameOfConference
    • OWCZAREK AL, PRELLBERG T, BRAK R (1993), THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS J STAT PHYS $nameOfConference
    • 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 $nameOfConference
    • OWCZAREK AL, PRELLBERG T (1993), EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS J STAT PHYS $nameOfConference
    • Owczarek AL, Prellberg T, Brak R (1993), New scaling form for the collapsed polymer phase. Phys Rev Lett $nameOfConference
    • PRELLBERG T, SLAWNY J (1992), MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS J STAT PHYS $nameOfConference
    • HARBORTH H, OERTEL P, PRELLBERG T (1989), NO-3-IN-LINE FOR 17 AND 19 DISCRETE MATH $nameOfConference
    • Harborth H, Oertel P, Prellberg T (1988), No-three-in-line for seventeen and nineteen Discrete Mathematics $nameOfConference

Supervision

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