Professor Thomas Prellberg
Professor of Mathematics
Email: t.prellberg@qmul.ac.ukTelephone: +44 (0)20 7882 5490Room Number: Mathematical Sciences Building, Room: MB-523Website: http://www.maths.qmul.ac.uk/~tp/Office Hours: for Jan 6 - Jan 20 please check on https://qmplus.qmul.ac.uk/course/view.php?id=3138 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
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(2019). Adsorption of two-dimensional polymers with two- and three-body self-interactions Physical Review E.
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(2019). Adsorption of interacting self-avoiding trails in two dimensions Physical Review E.
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(publicationYear). Phase transitions in solvent dependent polymer adsorption in three dimensions Physical Review E.
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(publicationYear). Exact solution of pulled, directed vesicles with sticky walls in two dimensions Journal of Mathematical Physics.
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(2018). Adsorption of neighbor-avoiding walks on the simple cubic lattice Physical Review E.
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(2018). Universality of crossover scaling for the adsorption transition of lattice polymers Physical Review E.
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(2018). Anomalous polymer collapse winding angle distributions Journal of Physics A: Mathematical and Theoretical.
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(2018). Dataset: Anomalous polymer collapse winding angle distributions journal.
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(2017). Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares Journal of Physics A: Mathematical and Theoretical.
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(2017). Phase Diagram of Twist Storing Lattice Polymers in Variable Solvent Quality JSTAT.
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(2017). Writhe induced phase transition in unknotted self-avoiding polygons Journal of Statistical Mechanics: Theory and Experiment.
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(publicationYear). Area-width scaling in generalised Motzkin paths Physica A: Statistical Mechanics and its Applications.
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(publicationYear). Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice Physical Review E.
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(2017). Self-attracting polymers in two dimensions with three low-temperature phases Journal of Physics A: Mathematical and Theoretical.
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(publicationYear). Higher-order Airy scaling in deformed Dyck paths Journal of Statistical Physics.
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(2016). Forces and pressures in adsorbing partially directed walks Journal of Physics A: Mathematical and Theoretical.
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(2016). The role of three-body interactions in two-dimensional polymer collapse Journal of Physics A: Mathematical and Theoretical.
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(2016). Winding angle distributions for two-dimensional collapsing polymers Journal of Physics: Conference Series.
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(2015). A semi-flexible attracting-segment model of three-dimensional polymer collapse Physica A: Statistical Mechanics and its Applications.
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(2015). Dataset: Winding angle distributions for two-dimensional collapsing polymers journal.
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(2015). Uniform asymptotics of area-weighted Dyck paths Journal of Mathematical Physics.
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(2015). Writhe-induced knotting in a lattice polymer Journal of Physics A: Mathematical and Theoretical.
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(2014). Lattice polymers with two competing collapse interactions Journal of Physics A: Mathematical and Theoretical.
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(2014). Pressure exerted by a vesicle on a surface Journal of Physics A: Mathematical and Theoretical.
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(2013). Numerical simulation of a lattice polymer model at its integrable point Journal of Physics A: Mathematical and Theoretical.
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(2013). Semi-flexible interacting self-avoiding trails on the square lattice Physica A: Statistical Mechanics and its Applications.
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(2013). The pressure exerted by adsorbing directed lattice paths and staircase polygons Journal of Physics A: Mathematical and Theoretical.
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(2013). Self-avoiding trails with nearest-neighbour interactions on the square lattice Journal of Physics A: Mathematical and Theoretical.
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(2013). Weighting of topologically different interactions in a model of two-dimensional polymer collapse Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.
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(2013). Semi-flexible interacting self-avoiding trails on the square lattice Physica A: Statistical Mechanics and its Applications.
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(2012). Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation Journal of Physics A: Mathematical and Theoretical.
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(2012). Rare event sampling with stochastic growth algorithms journal.
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(2012). Anomalous critical behavior in the polymer collapse transition of three-dimensional lattice trails Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.
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(2012). Exact power spectra of Brownian motion with solid friction J. Phys. A: Math. Theor. 45, 395002, 2012.
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(2011). An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths JOURNAL OF STATISTICAL PHYSICS.
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(2010). Forcing adsorption of a tethered polymer by pulling Journal of Statistical Mechanics: Theory and Experiment.
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(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.
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(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.
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(2010). Identification of a polymer growth process with an equilibrium multicritical collapse phase transition: The meeting point of swollen, collapsed, and crystalline polymers Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.
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(2010). A simple model of a vesicle drop in Aconfined geometry Journal of Statistical Mechanics: Theory and Experiment.
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(2010). A semi-flexible attracting segment model of two-dimensional polymer collapse PHYSICA A.
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(2010). Asymptotic enumeration of 2-covers and line graphs DISCRETE MATHEMATICS.
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(2009). Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions J PHYS A-MATH THEOR.
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(2009). Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions Journal of Physics A: Mathematical and Theoretical.
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(2009). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point journal.
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(2009). A self-interacting partially directed walk subject to a force J PHYS A-MATH THEOR.
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(2009). Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers PHYSICA A.
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(2008). Scaling of the atmosphere of self-avoiding walks J PHYS A-MATH THEOR.
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(2008). Finite-size scaling functions for directed polymers confined between attracting walls J PHYS A-MATH THEOR.
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(2007). Lattice model for parallel and orthogonal β sheets using hydrogenlike bonding Physical Review E - Statistical, Nonlinear, and Soft Matter Physics.
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(2007). On the location of the surface-attached globule phase in collapsing polymers J PHYS A-MATH THEOR.
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(2007). Exact solution of semi-flexible and super-flexible interacting partially directed walks J STAT MECH-THEORY E.
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(2007). The competition of hydrogen-like and isotropic interactions on polymer collapse J STAT MECH-THEORY E.
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(2007). Collapse transition of self-avoiding trails on the square lattice PHYSICA A.
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(2006). Self-avoiding random walk with multiple site weightings and restrictions PHYS REV LETT.
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(2006). Cluster approximation for the Farey fraction spin chain J STAT PHYS.
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(2006). Asymptotic enumeration of incidence matrices International Workshop on Statistical Mechanics and Combinatorics: Counting Complexity.
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(2005). Layering transitions for adsorbing polymers in poor solvents EUROPHYS LETT.
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(2005). Pulling absorbing and collapsing polymers from a surface J STAT MECH-THEORY E.
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(2004). Stretching of a chain polymer adsorbed at a surface J STAT MECH-THEORY E.
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(2004). Flat histogram version of the pruned and enriched Rosenbluth method Physical Review Letters.
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(2003). Monte carlo investigation of lattice models of polymer collapse in five dimensions INT J MOD PHYS C.
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(2003). Towards a complete determination of the spectrum of a transfer operator associated with intermittency J PHYS A-MATH GEN.
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(2003). Scaling near the theta point for isolated polymers in solution PHYS REV E.
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(2003). Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators REV SCI INSTRUM.
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(2002). Pseudo-first-order transition in interacting self-avoiding walks and trails COMPUTER PHYSICS COMMUNICATIONS.
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(2001). Scaling of self-avoiding walks and self-avoiding trails in three dimensions J PHYS A-MATH GEN.
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(2001). Four-dimensional polymer collapse II: interacting self-avoiding trails PHYSICA A.
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(2001). Scaling of self-avoiding walks in high dimensions J PHYS A-MATH GEN.
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(2000). First-order scaling near a second-order phase transition: Tricritical polymer collapse EUROPHYS LETT.
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(2000). Four-dimensional polymer collapse: pseudo-first-order transition in interacting self-avoiding walks Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics.
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(2000). Viscoelastic depinning of driven systems: mean-field plastic scallops Physical Review Letters.
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(1999). On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles COMMUN MATH PHYS.
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(1998). Existence of four-dimensional polymer collapse I. Kinetic growth trails PHYSICA A.
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(1998). Dynamics of a single particle in a horizontally shaken box EUR PHYS J B.
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(1998). Winding angles for two-dimensional polymers with orientation-dependent interactions PHYS REV E.
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(1998). Winding-angle distribution for two-dimensional polymers at the theta-point PHYSICA A.
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(1997). The statistical mechanics of vesicles MATH COMPUT MODEL.
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(1995). THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONS J STAT PHYS.
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(1995). RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL NUCLEAR PHYSICS B.
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(1995). UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS J PHYS A-MATH GEN.
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(1995). Models of polymer collapse in three dimensions: Evidence from kinetic growth simulations. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics.
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(1995). CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS J STAT PHYS.
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(1994). UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS J PHYS A-MATH GEN.
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(1994). EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES J STAT PHYS.
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(1994). INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE PHYSICA A.
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(1994). MANHATTAN LATTICE THETA-POINT EXPONENTS FROM KINETIC GROWTH WALKS AND EXACT RESULTS FROM THE NIENHUIS O(N) MODEL J PHYS A-MATH GEN.
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(1994). LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS J PHYS A-MATH GEN.
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(1993). EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY PHYS REV LETT.
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(1993). ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS J PHYS A-MATH GEN.
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(1993). Finite-length scaling of collapsing directed walks. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics.
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(1993). A SCALING THEORY OF THE COLLAPSE TRANSITION IN GEOMETRIC CLUSTER-MODELS OF POLYMERS AND VESICLES J PHYS A-MATH GEN.
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(1993). THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS J STAT PHYS.
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(1993). Staircase polygons, elliptic integrals, Heun functions, and lattice Green functions. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics.
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(1993). EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS J STAT PHYS.
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(1993). New scaling form for the collapsed polymer phase. Phys Rev Lett.
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(1992). MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS J STAT PHYS.
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(1988). No-three-in-line for seventeen and nineteen Discrete Mathematics.
Supervision
- Anum Khalid (PhD Student, 2014 - 2018)
- Nils Haug (PhD Student, 2013-2017)
- Paul Mortimer (PhD Student, 2011-2015)