Personnel : Department of Mathematics and Statistics : University of Melbourne

.: Academic Continuing(Teaching & Research)

Dr Richard BRAK
	Position:	Senior Lecturer
	Email:	R.Brak@ms.unimelb.edu.au
	Room:	197
	Ext. Number:	49684
	Research Group:	- Complex Systems - Discrete Mathematics & Algebraic Combinatorics - Mathematical Physics & Statistical Mechanics
Interests:	- Combinatorics - Critical Phenomena (phase transitions) - Enumerative combinatorics - Markov processes - Modelling of biological systems - Orthogonal functions and polynomials - Polymers - Statistical Mechanics - Stochastic Processes
Recent Publications: Selected Publications \| Publications RSS Feed On directed compact percolation near a damp wall(2009) more A self-interacting partially directed walk subject to a force(2009) more Exact solutions of some lattice polymer models(2008) more Self-avoiding walks in slits and slabs with interactive walls(2008) more Motzkin path models of long chain polymers in slits(2007) more
My general interest lies in the mathematics of statistical mechanics and combinatorics.

Paul FIJN	"The combinatorics and graph theory of stochastic interface and lattice path problems"
Nicholas BEATON	"Exact Solutions of Polygons and Random Walks."

Will JAMES	"The enumeration of heaps and almost-convex polygons"
Paul NIDRAS	"Critical behaviour of geometric cluster models"
Judy-anne OSBORN	"Combinatorics of pavings and paths"

"Directed walkers on the square and triangular planar lattices"

Advanced Discrete Mathematics (Semester 2, 2009)

Year(s)	Source	Type	Title
2003 - 2010	ARC	Centre Of Excellence	ARC Centre of Excellence for Mathematics and Statistics of Complex Systems
2002 - 2006	ARC	Discovery	Advanced Computational and Analytic Studies in Lattice Statistical Mechanics and Applications

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Faculty of Science Department of Mathematics and Statistics