Downloads
Selected Research Talks
- 2019
- Adsorption of 2d polymers with two- and
three-body self-interactions (pdf)
- Exact solution of pulled, directed vesicles with
sticky walls in two dimensions (pdf)
- 2018
- Lattice Path Counting: where Enumerative Combinatorics and Statistical
Mechanics meet (pdf)
- Universality of crossover scaling for the adsorption transition of lattice polymers (pdf)
- Counting Generalised Dyck Paths (pdf)
- 2017
- Higher-order multicritical points in two-dimensional lattice polygon models (pdf), (webseminar)
- Winding angle distributions for interacting polymers (pdf)
- 2014
- The pressure of surface-attached polymers and vesicles (pdf)
- An overview of polymer sampling methods (pdf)
- On the number of walks in a triangular domain (pdf)
- 2013
- The combinatorics of the leading root of Ramanujan's (and related) functions (pdf)
- 2012
- The combinatorics of the leading root of the partial theta function (pdf)
- Rare event sampling with stochastic growth algorithms (pdf)
- Area-weighed Dyck paths as vesicle models - an approach via q-deformed algebraic and linear functional equations (pdf)
- Anomalous critical behaviour in the polymer collapse transition of lattice trails (pdf)
- 2011
- From Rosenbluth Sampling to PERM (pdf)
- Two non-crossing partially directed walks (pdf)
- 2010
- PERM and all that - a comparison of growth algorithms (pdf)
- Forcing adsorption of a tethered polymer by pulling (pdf)
- 2009
- 2008
- 2007
- Simulating Models of Polymer Collapse (pdf)
- The Mathematics of the Casimir Effect (pdf)
- 2006
- The Farey Fraction Spin Chain: Effects of an External Field (pdf), also as movie
- Lattice Models of Polymers (pdf)
- 2005
- Combinatorial Enumeration of Two-Dimensional Vesicles (pdf)
- Four Ways of Counting Incidence Matrices (pdf)
- Simulation of Polymers with a new Monte Carlo Algorithm (pdf)
- 2004
- Cluster Approximation for the Farey Fraction Spin Chain (pdf)
- A Flat Histogram Stochastic Growth Algorithm (pdf)
- 2003
- Spectral Analysis of Transfer Operators associated with Intermittency (pdf)
- Monte Carlo Investigation of Lattice Models of Polymer Collapse in High Dimensions (pdf)
- A Proof of the Monotonicity Conjecture by Friedman, Joichi, and Stanton (pdf)
- 2002
- On the Asymptotic Analysis of a Class of Linear Recurrences (pdf)
- 2001
- Depinning in Driven Viscoelastic Media with Disorder: a Dynamical Phase Transition (ps)
Selected Non-Research Talks
- Inaugural Lecture: Approximate Counting (pdf, also as recording)
- Open Day Presentation: Open Problems in Mathematics (pdf)
- E-Learning and Calculus (pdf)
Theses
- Habilitation "Lattice Models of Interacting Polymers and Vesicles" (ps)
- Dissertation "Maps of Intervals with Indifferent Fixed Points: Thermodynamic Formalism and Phase Transitions" (ps)
Selected Students' Theses
- Nathalie Richards: MSc Thesis "Winding angle distributions for Lorentz lattice gases" (pdf), supplement (zip)
- Anum Khalid: PhD Thesis "Enumeration of Generalised Directed Lattice Paths in a Strip" (pdf)
- Nils Haug: PhD Thesis "Asymptotics and scaling analysis of 2-dimensional lattice models of polymers and vesicles" (pdf)
- Paul Mortimer: PhD Thesis "Lattice path enumeration on restricted domains" (pdf)
- Andrew Runicles: MSc Thesis "On the asymptotics of a partial theta function" (pdf)
- Mohamed Pujeh: MSc Thesis "Multiple timescale perturbation theory of the van der Pol oscillator" (pdf), supplement (tgz)
- Spyros Martzoukos: MPhil Thesis "Walks on Graphs: from Randomness to Determinism" (ps)
- Florian Grossmann: Diploma Thesis "Non-Standard Period Doubling in a Piecewise Continuous Dynamical System" (ps)
- Peter Dodds: Masters Thesis "On the Thermodynamic Formalism for the Farey Map" (ps)
- Peter Dodds: Honours Thesis "Multifractals, Thermodynamic Formalism, and Intermittency" (ps)