Relevant publications

[Home|Talks|Publications]

Pollett, P.K. (1986) On the equivalence of m-invariant measures for the minimal process and its q-matrix. Stochastic Processes and their Applications 22, 203-221.

Parsons, R.W. and Pollett, P.K. (1987) Quasistationary distributions for some autocatalytic reactions. Journal of Statistical Physics 46, 249-254.

Pollett, P.K. (1987) On the long-term behaviour of a population that is subject to large-scale mortality or emigration. In (Ed. S. Kumar) Proceedings of the 8th National Conference of the Australian Society for Operations Research, pp. 196-207.

Pollett, P.K. (1988) Reversibility, invariance and mu-invariance. Advances in Applied Probability 20, 600-621.

Pollett, P.K. (1988) On the problem of evaluating quasistationary distributions for open reaction schemes. Journal of Statistical Physics 53, 1207-1215.

Pakes, A.G. and Pollett, P.K. (1989) The supercritical birth, death and catastrophe process: limit theorems on the set of extinction. Stochastic Processes and their Applications 32, 161-170.

Pollett, P.K. (1989) The generalized Kolmogorov criterion. 29-44.

Pollett, P.K. and Roberts, A.J. (1990) A description of the long-term behaviour of absorbing continuous-time Markov chains using a centre manifold. Advances in Applied Probability 22, 111-128.

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.

Pollett, P.K. (1993) Modelling the long-term behaviour of evanescent ecological systems. In (Ed. M. McAleer) Proceedings of the International Congress on Modelling and Simulation, Modelling and Simulation Society of Australia, Perth, Vol. 1, pp. 157-162.

Pollett, P.K. (1993) Recent advances in the theory and application of quasistationary distributions. In (Eds S. Osaki and D.N.P. Murthy) Proceedings of the 1st Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management, World Scientific, Singapore, pp. 477-486.

Pollett, P.K. (1993) Analytical and computational methods for modelling the long-term behaviour of evanescent random processes. In (Eds D.J. Sutton, C.E.M. Pearce and E.A. Cousins) Decision Sciences: Tools for Today, Proceedings of the 12th National Conference of the Australian Society for Operations Research, Australian Society for Operations Research, Adelaide, pp. 514-535.

Pollett, P.K. and Stewart, D.E. (1994) An efficient procedure for computing quasistationary distributions of Markov chains with sparse transition structure. Advances in Applied Probability 26, 68-79.

Pollett, P.K. (1995) The determination of quasistationary distributions directly from the transition rates of an absorbing Markov chain. Mathematical and Computer Modelling 22, 279-287.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (1996) The quasistationary distributions of homogeneous quasi-birth-and-death processes. In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki) Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management, Technology Management Centre, The University of Queensland, pp. 44-55.

Elmes, S., Pollett, P.K. and Walker, D. (1996) On the relationship between m-invariant measures and quasistationary distributions for absorbing continuous-time Markov chains when absorption is not certain. In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki) Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management, Technology Management Centre, The University of Queensland, pp. 131-140.

Hart, A.G. and Pollett, P.K. (1996) Direct analytical methods for determining quasistationary distributions for continuous-time Markov chains. In (Eds C.C. Heyde, Yu V. Prohorov, R. Pyke and S.T. Rachev) Athens Conference on Applied Probability and Time Series Analysis, Volume I: Applied Probability, In Honour of J.M. Gani, Lecture Notes in Statistics 114, Springer-Verlag, New York, pp. 116-126.

Hart, A.G. and Pollett, P.K. (1996) New methods for determining quasistationary distributions for continuous-time Markov chains. In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki) Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models in Engineering, Technology and Management, Technology Management Centre, The University of Queensland, pp. 177-186.

Pollett, P.K. (1996) Modelling the long-term behaviour of evanescent ecological systems. Ecological Modelling 86, 135-139.

Bean N.G., Bright, L., Latouche, G., Pearce, C.E.M., Pollett, P.K. and Taylor, P.G. (1997) The quasistationary behaviour of quasi-birth-and-death processes. The Annals of Applied Probability 7, 134-155.

Kijima, M., Nair, M.G., Pollett, P.K. and van Doorn, E. (1997) Limiting conditional distributions for birth-death processes. Advances in Applied Probability 29, 185-204.

Pollett, P.K. (1997) Limiting conditional distributions for stochastic metapopulation models. In (Eds A.D. McDonald and M. McAleer) Proceedings of the International Congress on Modelling and Simulation, Vol. 2 (ISBN 0-86422-826-0), Modelling and Simulation Society of Australia, Hobart, Australia, pp. 807-812.

Roberts, G.O., Jacka, S.D. and Pollett, P.K. (1997) Non-explosivity of limits of conditioned birth and death processes. Journal of Applied Probability 34, 35-45.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (1998) The quasistationary distributions of level-independent quasi-birth-and-death processes. Stochastic Models 14 (Special Issue in Honour of Marcel Neuts), 389-406.

Coolen-Schrijner, P. and Pollett, P.K. (1999) Quasi-stationarity of discrete-time Markov chains with drift to infinity. Methodology and Computing in Applied Probability 1, 81-96.

Pollett, P.K. (1999) Quasistationary distributions for continuous time Markov chains when absorption is not certain. Journal of Applied Probability 36, 268-272.

Pollett, P.K. (1999) Modelling quasi-stationary behaviour in metapopulations. Mathematics and Computers in Simulation 48, 393-405.

Pollett, P.K. (1999) Quasistationarity in populations that are subject to large-scale mortality or emigration. In (Eds Les Oxley, Frank Scrimgeour and Anthony Jakeman) Proceedings of the International Congress on Modelling and Simulation, Vol. 3 (ISBN 0-86422-950-X), Modelling and Simulation Society of Australia and New Zealand, Hamilton, New Zealand, pp. 667-672.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (2000) The quasistationary distributions of level-dependent quasi-birth-and-death processes. Stochastic Models 16, 511-541.

Coolen-Schrijner, P., Hart, A.G. and Pollett, P.K. (2000) Quasistationarity of continuous-time Markov chains with positive drift. Journal of the Australian Mathematical Society, Series B 41, 423-441.

Darlington, S.J. and Pollett, P.K. (2000) Quasistationarity in continuous time Markov chains where absorption is not certain. Journal of Applied Probability 37, 598-600.

Elmes, S., Pollett, P.K. and Walker, D. (2000) Further results on the relationship between m-invariant measures and quasistationary distributions for absorbing continuous-time Markov chains. Mathematical and Computer Modelling 31, 107-113.

Hart, A.G. and Pollett, P.K. (2000) New methods for determining quasistationary distributions for continuous-time Markov chains. Mathematical and Computer Modelling 31, 143-150.

Clancy, D., O'Neill, P.D. and Pollett, P.K. (2001) Approximations for the long-term behaviour of an open-population epidemic model. Methodology and Computing in Applied Probability 3, 75-95.

Pollett, P.K. (2001) Quasistationarity in populations that are subject to large-scale mortality or emigration. Environment International 27, 231-236.

Clancy, D. and Pollett, P.K. (2003) A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic. Journal of Applied Probability 40 (to appear).


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