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)

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 *