Phil Pollett's Research Pages

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ARC Funded Projects

Papers and Abstracts

Methods for Approximating the Behaviour of Chemical Processes and Ecological Systems (1989-1991)

[Project Summary]


Published work

Pollett, P.K. (1990) A note on the classification of Q-processes when Q is not regular. Journal of Applied Probability 27, 278-290.

Pollett, P.K. (1990) On a model for interference between searching insect parasites. Journal of the Australian Mathematical Society, Series B 32, 133-150.

Brown, T.C. and Pollett, P.K. (1991) Poisson approximations for telecommunications networks. Journal of the Australian Mathematical Society, Series B 32, 348-364.

Pollett, P.K. (1991) Invariant measures for Q-processes when Q is not regular. Advances in Applied Probability 23, 277-292.

Pollett, P.K. (1991) On the construction problem for single-exit Markov chains. Bulletin of the Australian Mathematical Society 43, 439-450.

Pollett, P.K. (1991) Modelling random fluctuations in a bistable telecommunications network. In (Ed. P. Hutton) Proceedings of the 11th National Conference of the Australian Society for Operations Research, pp. 11-22.

Pollett, P.K. (1991) Monte Carlo simulation of some finite-state Markovian models. In (Ed. D.G. Mayer) Proceedings of the 9th Biennial Conference on Modelling and Simulation, Simulation Society of Australia, pp. 154-167.

Henderson, W., Pearce, C.E.M., Pollett, P.K. and Taylor, P.G. (1992) Connecting internally balanced quasireversible Markov processes. Advances in Applied Probability 24, 934-959.

Pollett, P.K. (1992) Diffusion approximations for a circuit switching network with random alternative routing. Australian Telecommunication Research 25, 45-52.

Pollett, P.K. (1992) Modelling random fluctuations in a bistable telecommunications network. In (Ed. W. Henderson) Proceedings of the 7th Australian Teletraffic Research Seminar, Teletraffic Research Centre, University of Adelaide, Adelaide, pp. 335-345.

Pollett, P.K. and Vassallo, A. (1992) Diffusion approximations for some simple chemical reaction schemes. Advances in Applied Probability 24, 875-893.

Pollett, P.K. and Vere-Jones, D. (1992) A note on evanescent processes. The Australian Journal of Statistics 34, 531-536.

Nair, M.G. and Pollett, P.K. (1993) On the relationship between m-invariant measures and quasistationary distributions for continuous-time Markov chains. Advances in Applied Probability 25, 82-102.


If you have any comments on these pages,
feel free to e-mail me: pkp@maths.uq.edu.au