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Publications

Curriculum Vitae

Selected Research Talks

• 2011
• From Rosenbluth Sampling to PERM - rare event sampling with stochastic growth algorithms (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
• Area-perimeter generating functions of lattice walks (pdf), (webseminar, local copy)
• 2008
• Combinatorial Enumeration with the Kernel Method (pdf)
• Counting Defective Parking Functions (pdf)
• Counting Lattice Paths with the Kernel Method (web seminar) (local copy)
• Counting Partially Directed Walks in a Symmetric Wedge (web seminar) (local copy)
• 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

• 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

• 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)