- Limit Theory in Stochastic Processes
- Markov processes
- Point Processes
- Poisson and compound Poisson approximations
- Queueing Networks
A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, I: Equilibrium distributions of Markov jump processes. Annals of Probability, 46, 1351-1404, 2018. doi: 10.1214/17-AOP1204.
A. Barbour, M. Luczak, A. Xia. Multivariate approximation in total variation, II: Discrete normal approximation. Annals of Probability, 46, 1405-1440, 2018. doi: 10.1214/17-AOP1205.
Paul Keeler, N. Ross, A. Xia, Bartlomiej Blaszczyszyn. Stronger Wireless Signals Appear More Poisson. IEEE Wireless Communications Letters, 5, 572-575, 2016. doi: 10.1109/LWC.2016.2601913.
A. Xia, JE Yukich. Normal Approximation for Statistics of Gibbsian Input in Geometric Probability. Advances in Applied Probability, 47, 934-972, 2015. doi: 10.1017/S0001867800048965.
AD Barbour, HL Gan, A. Xia. Stein factors for negative binomial approximation in Wasserstein distance. Bernoulli, 21, 1002-1013, 2015. doi: 10.3150/14-BEJ595.
Current Postgraduate Supervision
|Xuan (Kevin) VO||"Convergence of instantaneous markov processes"|
Past Postgraduate Supervision
|Han Liang GAN||"Locally Dependant Extremes"|
|Xiaoxin WANG||"Approximate distributions of the number of run occurrences"|
Current MSc Students
Past MSc Students
|Sarah FODA||"Extreme Value Theory and its Applications to Foreign Exchange Rates"|
|David RINGER||"Association behaviour in non-linear death processes"|
Recent Grant History
|2015 - 2017||ARC||Discovery||Random Discrete Structures: Approximations and Applications|
|2012 - 2014||ARC||Discovery||Random network models with applications in biology|
|2007 - 2009||ARC||Discovery||Quantifying cortical thickness and white matter hyperintensity volumes and determining their relationship on Magnetic Resonance Imaging in ageing brains|
|2003 - 2010||ARC||Centre Of Excellence||ARC Centre of Excellence for Mathematics and Statistics of Complex Systems|
- Chair of Belz Committee
- Deputy Head of School
- Faculty of Science Promotion Panel member for Level B to C
- Postgraduate Coursework Coordinator
- Stochastic Processes Seminar Coordinator
- Belz Committee
- Executive Committee
- Management Committee
- Math. Sciences Library Users Committee
- Postgraduate Programs Committee
- Strategic Planning Committee