A/Professor Barry Hughes
|
||
Position |
Associate | |
Phone Number |
61 3 8344 5557 | |
Fax Number |
61 3 8344 4599 | |
Department |
Mathematics & Statistics | |
Link |
www.ms.unimelb.edu.au/~hughes | |
Office Location |
Rm G20, Bld 160 | |
Research Interests
- continuuum mechanical modelling in colloid and interface science
- stochastic modelling (including random walk processes, random environments, power-law phenomena, and stochastically evolving networks)
-
methods of applied mathematics (especially transform methods and asymptotics)
-
mathematical biology
Selected Publications
W J Reed and B D Hughes, "From gene families and genera to incomes and internet file sizes: why power laws are so common in nature", Physical Review E 66: 067103 (2002)
W J Reed and B D Hughes, "On the distribution of family names", Physica A319: 579-590 (2003)
D Y C Chan, B D Hughes, A S Leong and W J Reed, "Stochastically evolving networks", Physical Review E 68: 006124 (2003)
W J Reed and B D Hughes, "A model explaining the size distribution of gene and protein families", Mathematical Biosciences 189: 97-102 (2004)
A Q Cai, K A Landman and B D Hughes, "Modelling directional guidance and motility regulation in cell migration", Bulletin of Mathematical Biology 68: 25-52 (2006)
J A Slater, B D Hughes and K A Landman, "Evolving mortal networks", Physical Review E 73: 066111 (2006)
A Q Cai, K A Landman and B D Hughes, "Multiscale modelling of a wound healing assay", Journal of Theoretical Biology 245: 576--594 (2007)
J L Slater, K A Landman, B D Hughes, Q Shen and S Temple, "Cell lineage tree models of neurogenesis", Journal of Theoretical Biology 256: 164-179 (2009)
B D Hughes, "Conduction and diffusion in percolating systems", in Encyclopedia of Complexity and Systems Science (edited by R. Meyers), New York, Springer-Verlag, in press 2009.
Books Written
B D Hughes, Random Walks and Random Environments. Volume 1: Random Walks. Clarendon Press, Oxford, 1995 (xxi+631pp.) ISBN 0 19 853788 3.
B D Hughes, Random Walks and Random Environments. Volume 2: Random Environments. Clarendon Press, Oxford, 1996 (xxiv+526 pp.) ISBN 0 19 853789 1.
Major Reports
National Strategic Review of Mathematical Sciences Research in Australia
(J H Rubinstein, chair; B D Hughes, Executive Director, with a working party appointed
by the National Committee for the Mathematical Sciences of the Australian Academy of Science)
Mathematics and Statistics: Critical Skills for Australia's Future.
Australian Academy of Science, December 2006,
ISBN 0 85847 234 1, http://www.review.ms.unimelb.edu.au/FullReport2006.pdf.