Professor Thomas Prellberg
Professor of Mathematics
Email: t.prellberg@qmul.ac.ukTelephone: +44 (0)20 7882 5490Room Number: Queens’ Building, Room: CB315Website: http://www.maths.qmul.ac.uk/~tp/Office Hours: Monday 1:30-2:30 during term times, 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
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PRELLBERG T (2018). Dataset: Anomalous polymer collapse winding angle distributions.
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Oliveira TJ, Dantas WG, Prellberg T et al. (2017). Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares.
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Bedini A, Owczarek AL, Prellberg T (2017). Self-attracting polymers in two dimensions with three low-temperature phases.
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Krawczyk J, Owczarek AL, Prellberg T (2015). A semi-flexible attracting-segment model of three-dimensional polymer collapse.
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NARROS A, PRELLBERG T, OWCZARECK A (2015). Dataset: Winding angle distributions for two-dimensional collapsing polymers.
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Dagrosa E, Owczarek AL, Prellberg T (2015). Writhe-induced knotting in a lattice polymer.
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Bedini A, Owczarek AL, Prellberg T (2014). Lattice polymers with two competing collapse interactions.
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Owczarek AL, Prellberg T (2014). Pressure exerted by a vesicle on a surface.
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Bedini A, Owczarek AL, Prellberg T (2013). Numerical simulation of a lattice polymer model at its integrable point.
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Bedini A, Owczarek AL, Prellberg T (2013). Semi-flexible interacting self-avoiding trails on the square lattice.
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Van Rensburg EJJ, Prellberg T (2013). The pressure exerted by adsorbing directed lattice paths and staircase polygons.
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Bedini A, Owczarek AL, Prellberg T (2013). Self-avoiding trails with nearest-neighbour interactions on the square lattice.
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Bedini A, Owczarek AL, Prellberg T (2013). Semi-flexible interacting self-avoiding trails on the square lattice.
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Bedini A, Owczarek AL, Prellberg T (2013). Weighting of topologically different interactions in a model of two-dimensional polymer collapse..
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Owczarek AL, Prellberg T (2012). Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation.
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Prellberg T (2012). Rare event sampling with stochastic growth algorithms.
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Bedini A, Owczarek AL, Prellberg T (2012). Anomalous critical behavior in the polymer collapse transition of three-dimensional lattice trails..
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Touchette H, Prellberg T, Just W (2012). Exact power spectra of Brownian motion with solid friction.
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Brak R, Iliev GK, Prellberg T (2011). An Infinite Family of Adsorption Models and Restricted Lukasiewicz Paths.
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Osborn J, Prellberg T (2010). Forcing adsorption of a tethered polymer by pulling.
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Owczarek AL, Prellberg T (2010). Exact solution of the discrete (1+1)-dimensional RSOS model in a slit with field and wall interactions.
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Owczarek AL, Prellberg T (2010). Exact solution of the discrete (1+1)-dimensional RSOS model in a slit with field and wall interactions.
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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..
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Owczarek AL, Prellberg T (2010). A simple model of a vesicle drop in Aconfined geometry.
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Krawczyk J, Owczarek AL, Prellberg T (2010). A semi-flexible attracting segment model of two-dimensional polymer collapse.
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Cameron P, Prellberg T, Stark D (2010). Asymptotic enumeration of 2-covers and line graphs.
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Owczarek AL, Prellberg T (2009). Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions.
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Owczarek AL, Prellberg T (2009). Exact solution of the discrete (1+1)-dimensional RSOS model with field and surface interactions.
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Bandtlow OF, Fiala J, Kleban P et al. (2009). Asymptotics of the Farey Fraction Spin Chain Free Energy at the Critical Point.
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Brak R, Dyke P, Lee J et al. (2009). A self-interacting partially directed walk subject to a force.
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Krawczyk J, Owczarek AL, Prellberg T (2009). Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers.
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Owczarek AL, Prellberg T (2008). Scaling of the atmosphere of self-avoiding walks.
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van Rensburg EJJ, Prellberg T, Rechnitzer A (2008). Partially directed paths in a wedge.
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Owczarek AL, Prellberg T, Rechnitzer A (2008). Finite-size scaling functions for directed polymers confined between attracting walls.
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van Rensburg EJJ, Prellberg T, Rechnitzer A (2007). Directed paths in a wedge.
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Owczarek AL, Rechnitzer A, Krawczyk J et al. (2007). On the location of the surface-attached globule phase in collapsing polymers.
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Owczarek AL, Prellberg T (2007). Exact solution of semi-flexible and super-flexible interacting partially directed walks.
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Krawczyk J, Owczarek AL, Prellberg T et al. (2007). Lattice model for parallel and orthogonal beta sheets using hydrogenlike bonding..
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Krawczyk J, Owczarek AL, Prellberg T (2007). The competition of hydrogen-like and isotropic interactions on polymer collapse.
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Owczarek AL, Prellberg T (2007). Collapse transition of self-avoiding trails on the square lattice.
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Krawczyk J, Prellberg T, Owczarek AL et al. (2006). Self-avoiding random walk with multiple site weightings and restrictions.
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Prellberg T, Fiala J, Kleban P (2006). Cluster approximation for the Farey fraction spin chain.
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Cameron P, Prellberg T, Stark D (2006). Asymptotic enumeration of incidence matrices.
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Krawczyk J, Owczarek AL, Prellberg T et al. (2005). Layering transitions for adsorbing polymers in poor solvents.
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Krawczyk J, Owczarek AL, Prellberg T et al. (2005). Pulling absorbing and collapsing polymers from a surface.
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Krawczyk J, Prellberg T, Owczarek AL et al. (2004). Stretching of a chain polymer adsorbed at a surface.
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PRELLBERG T, Krawczyk J (2004). Flat histogram version of the pruned and enriched Rosenbluth method.
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Prellberg T, Stanton D (2003). Proof of a monotonicity conjecture.
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Owczarek AL, Prellberg T (2003). Monte carlo investigation of lattice models of polymer collapse in five dimensions.
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Prellberg T (2003). Towards a complete determination of the spectrum of a transfer operator associated with intermittency.
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Owczarek AL, Prellberg T (2003). Scaling near the theta point for isolated polymers in solution.
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Berg S, Prellberg T, Johannsmann D (2003). Nonlinear contact mechanics based on ring-down experiments with quartz crystal resonators.
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Prellberg T, Owczarek AL (2002). Pseudo-first-order transition in interacting self-avoiding walks and trails.
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Prellberg T (2001). Scaling of self-avoiding walks and self-avoiding trails in three dimensions.
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Prellberg T, Owczarek AL (2001). Four-dimensional polymer collapse II: interacting self-avoiding trails.
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Owczarek AL, Prellberg T (2001). Scaling of self-avoiding walks in high dimensions.
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Owczarek AL, Prellberg T (2000). First-order scaling near a second-order phase transition: Tricritical polymer collapse.
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Prellberg T, Owczarek AL (2000). Four-dimensional polymer collapse: pseudo-first-order transition in interacting self-avoiding walks.
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Marchetti MC, Middleton AA, Prellberg T (2000). Viscoelastic depinning of driven systems: mean-field plastic scallops.
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Prellberg T, Owczarek AL (1999). On the asymptotics of the finite-perimeter partition function of two-dimensional lattice vesicles.
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Owczarek AL, Prellberg T (1998). Existence of four-dimensional polymer collapse I. Kinetic growth trails.
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Drossel B, Prellberg T (1998). Dynamics of a single particle in a horizontally shaken box.
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Prellberg T, Drossel B (1998). Winding angles for two-dimensional polymers with orientation-dependent interactions.
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Prellberg T, Drossel B (1998). Winding-angle distribution for two-dimensional polymers at the theta-point.
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PRELLBERG T, OWCZAREK AL (1995). STACKING MODELS OF VESICLES AND COMPACT CLUSTERS.
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OWCZAREK AL, PRELLBERG T (1995). THE COLLAPSE POINT OF INTERACTING TRAILS IN 2 DIMENSIONS FROM KINETIC GROWTH SIMULATIONS.
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GUTTMANN AJ, OWCZAREK AL, BENNETTWOOD D et al. (1995). RECENT DEVELOPMENTS IN THE STUDY OF WALKS, POLYGONS AND THE ISING-MODEL.
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PRELLBERG T (1995). UNIFORM Q-SERIES ASYMPTOTICS FOR STAIRCASE POLYGONS.
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Prellberg T, Owczarek AL (1995). Models of polymer collapse in three dimensions: Evidence from kinetic growth simulations..
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PRELLBERG T, BRAK R (1995). CRITICAL EXPONENTS FROM NONLINEAR FUNCTIONAL-EQUATIONS FOR PARTIALLY DIRECTED CLUSTER-MODELS.
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OWCZAREK AL, PRELLBERG T, BENNETTWOOD D et al. (1994). UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS.
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BRAK R, OWCZAREK AL, PRELLBERG T (1994). EXACT SCALING BEHAVIOR OF PARTIALLY CONVEX VESICLES.
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BENNETTWOOD D, OWCZAREK AL, PRELLBERG T (1994). CROSSOVER IN SMART KINETIC GROWTH WALKS.
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OWCZAREK AL, PRELLBERG T (1994). INTERACTING PARTIALLY DIRECTED WALKS - A MODEL OF POLYMER COLLAPSE.
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PRELLBERG T, OWCZAREK AL (1994). MANHATTAN LATTICE THETA-POINT EXPONENTS FROM KINETIC GROWTH WALKS AND EXACT RESULTS FROM THE NIENHUIS O(N) MODEL.
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BENNETTWOOD D, BRAK R, GUTTMANN AJ et al. (1994). LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS.
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OWCZAREK AL, PRELLBERG T, BRAK R (1993). EXACT SCALING FORM FOR THE COLLAPSED 2D POLYMER PHASE - REPLY.
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Owczarek AL, Prellberg T, Brak R (1993). Owczarek, Prellberg, and Brak reply..
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GUTTMANN AJ, PRELLBERG T, OWCZAREK AL (1993). ON THE SYMMETRY CLASSES OF PLANAR SELF-AVOIDING WALKS.
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Prellberg T, Owczarek AL, Brak R et al. (1993). Finite-length scaling of collapsing directed walks..
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BRAK R, OWCZAREK AL, PRELLBERG T (1993). A SCALING THEORY OF THE COLLAPSE TRANSITION IN GEOMETRIC CLUSTER-MODELS OF POLYMERS AND VESICLES.
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OWCZAREK AL, PRELLBERG T, BRAK R (1993). THE TRICRITICAL BEHAVIOR OF SELF-INTERACTING PARTIALLY DIRECTED WALKS.
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Guttmann AJ, Prellberg T (1993). Staircase polygons, elliptic integrals, Heun functions, and lattice Green functions..
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OWCZAREK AL, PRELLBERG T (1993). EXACT SOLUTION OF THE DISCRETE (1 + 1)-DIMENSIONAL SOS MODEL WITH FIELD AND SURFACE INTERACTIONS.
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Owczarek AL, Prellberg T, Brak R (1993). New scaling form for the collapsed polymer phase..
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PRELLBERG T, SLAWNY J (1992). MAPS OF INTERVALS WITH INDIFFERENT FIXED-POINTS - THERMODYNAMIC FORMALISM AND PHASE-TRANSITIONS.
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HARBORTH H, OERTEL P, PRELLBERG T (1989). NO-3-IN-LINE FOR 17 AND 19.
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Harborth H, Oertel P, Prellberg T (1988). No-three-in-line for seventeen and nineteen.
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Dantas WG, Oliveira TJ, Stilck JF et al. (publicationYear). Grand-canonical solution of semi-flexible self-avoiding trails on the Bethe lattice.
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Haug N, Daalhuis AO, Prellberg T (publicationYear). Higher-order Airy scaling in deformed Dyck paths.
PhD Supervision
current:
- Anum Khalid (PhD Student, 2014 - present)
former:
- Nils Haug (PhD Student, 2013-2017)
- Paul Mortimer (PhD Student, 2011-2015)