Professor Phil Pollett has research interests in Markov process theory, and mathematical modelling in population biology, ecology, epidemiology, chemical kinetics and telecommunications.
He holds an honours degree in Applied Mathematics from the University of Adelaide and a PhD degree in Applied Probability from the University of Cambridge. He joined the Department of Mathematics in 1987 as Senior Lecturer, having previously held positions at the University of Adelaide, Murdoch University and University College of Cardiff. He was promoted to Reader in 1993 and to Professor in 2004.
His research is recognized internationally for significant contributions to Markov process theory, and mathematical modelling. This research has been supported by 12 ARC Large/Discovery/Linkage grants. He is a Chief Investigator within the ARC Centre of Excellence for Mathematical and Statistics Frontiers (ACEMS), and was a Chief Investigator (2002-2014) within the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems (MASCOS). In 1993, he was awarded the Moran Medal by the Australian Academy of Science for distinguished research in Applied Probability.
Phil Pollett has served on the editorial boards of the Journal of the Australian Mathematical Society, Methodology and Computing in Applied Probability, Stochastic Models, and The Annals of Applied Probability, and has served on the organizing committees of several major international conferences. He devised the Probability Web, recognized as the main Web resource for probabilists throughout the world, and one of the first academic web sites. He has a strong record of innovation in undergraduate teaching, and has guided the development of many postgraduate students and postdoctoral fellows through supervision and collaboration.
Journal Article: Local approximation of a metapopulation's equilibrium
Barbour, A. D., McVinish, R. and Pollett, P. K. (2018) Local approximation of a metapopulation's equilibrium. Journal of Mathematical Biology, 77 3: 1-29. doi:10.1007/s00285-018-1231-0
Journal Article: A metapopulation model with Markovian landscape dynamics
McVinish, R., Pollett, P. K. and Chan, Y. S. (2016) A metapopulation model with Markovian landscape dynamics. Theoretical Population Biology, 112 80-96. doi:10.1016/j.tpb.2016.08.005
Journal Article: Limiting the spread of disease through altered migration patterns
McVinish, R., Pollett, P. K. and Shausan, A. (2016) Limiting the spread of disease through altered migration patterns. Journal of Theoretical Biology, 393 60-66. doi:10.1016/j.jtbi.2015.12.019
(2015–2018) University of Melbourne
(2014–2021) University of Melbourne
Understanding the effects of individual variation on population dynamics
(2014) ARC Discovery Projects
Computational methods for sums of random variables
(2018) Doctor Philosophy
The limiting behaviour of metapopulation models via random measures
Doctor Philosophy
A Model for the Spread of an SIS Epidemic in a Human Population
(2015) Doctor Philosophy
Distributed fault detection using consensus of Markov chains
Jovanović, Degan P. and Pollett, Philip K. (2014). Distributed fault detection using consensus of Markov chains. In Honglei Xu and Xiangyu Wang (Ed.), Optimization and control methods in industrial engineering and construction (pp. 85-105) Dordrecht, The Netherlands: Springer. doi:10.1007/978-94-017-8044-5_6
Optimal capacity assignment in general queueing networks
Pollett, P. K. (2009). Optimal capacity assignment in general queueing networks. In Charles Pearce and Emma Hunt (Ed.), Optimization: structure and applications (pp. 261-272) New York, United States: Springer. doi:10.1007/978-0-387-98096-6_14
Identifying Q-processes with a given finite m-invariant measure
Pollett, P. K. (2002). Identifying Q-processes with a given finite m-invariant measure. In Z. Hou, J.A. Filar and A. Chen (Ed.), Markov Processes and Controlled Markov Chains 1st ed. (pp. 41-55) The Netherlands: Kluwer.
Local approximation of a metapopulation's equilibrium
Barbour, A. D., McVinish, R. and Pollett, P. K. (2018) Local approximation of a metapopulation's equilibrium. Journal of Mathematical Biology, 77 3: 1-29. doi:10.1007/s00285-018-1231-0
A metapopulation model with Markovian landscape dynamics
McVinish, R., Pollett, P. K. and Chan, Y. S. (2016) A metapopulation model with Markovian landscape dynamics. Theoretical Population Biology, 112 80-96. doi:10.1016/j.tpb.2016.08.005
Limiting the spread of disease through altered migration patterns
McVinish, R., Pollett, P. K. and Shausan, A. (2016) Limiting the spread of disease through altered migration patterns. Journal of Theoretical Biology, 393 60-66. doi:10.1016/j.jtbi.2015.12.019
Connecting deterministic and stochastic metapopulation models
Barbour, A.D, McVinish, Ross and Pollett, Philip K (2015) Connecting deterministic and stochastic metapopulation models. Journal of Mathematical Biology, 71 6: 1481-1504. doi:10.1007/s00285-015-0865-4
Cope R. C., Pollett, P. K., Lanyon, J. M. and Seddon, J. M. (2015) Indirect detection of genetic dispersal (movement and breeding events) through pedigree analysis of dugong populations in southern Queensland, Australia. Biological Conservation, 181 91-101. doi:10.1016/j.biocon.2014.11.011
Cope, Robert C., Lanyon, Janet M., Seddon, Jennifer M. and Pollett, Philip K. (2014) Development and testing of a genetic marker-based pedigree reconstruction system 'PR-genie' incorporating size-class data. Molecular Ecology Resources, 14 4: 857-870. doi:10.1111/1755-0998.12219
A closing scheme for finding almost-invariant sets in open dynamical systems
Froyland, Gary, Pollett, Philip K. and Stewart, Robyn M. (2014) A closing scheme for finding almost-invariant sets in open dynamical systems. Journal of Computational Dynamics, 1 1: 135-162. doi:10.3934/jcd.2014.1.135
Binomial autoregressive processes with density-dependent thinning
Weiss, Christian H. and Pollett, Philip K. (2014) Binomial autoregressive processes with density-dependent thinning. Journal of Time Series Analysis, 35 2: 115-132. doi:10.1002/jtsa.12054
A model for a spatially structured metapopulation accounting for within patch dynamics
Smith, Andrew G., McVinish, Ross and Pollett, Philip K. (2014) A model for a spatially structured metapopulation accounting for within patch dynamics. Mathematical Biosciences, 247 1: 69-79. doi:10.1016/j.mbs.2013.11.001
The limiting behaviour of Hanski's incidence function metapopulation model
McVinish, R. and Pollett, P. K. (2014) The limiting behaviour of Hanski's incidence function metapopulation model. Journal of Applied Probability, 51 2: 297-316. doi:10.1239/jap/1402578626
Quasi-stationary distributions for discrete-state models
van Doorn, Erik A. and Pollett, Philip K. (2013) Quasi-stationary distributions for discrete-state models. European Journal of Operational Research, 230 1: 1-14. doi:10.1016/j.ejor.2013.01.032
The limiting behaviour of a stochastic patch occupancy model
McVinish, R. and Pollett, P. K. (2013) The limiting behaviour of a stochastic patch occupancy model. Journal of Mathematical Biology, 67 3: 693-716. doi:10.1007/s00285-012-0568-z
Optimal design of experimental epidemics
Pagendam, D. E. and Pollett, P. K. (2013) Optimal design of experimental epidemics. Journal of Statistical Planning and Inference, 143 3: 563-572. doi:10.1016/j.jspi.2012.09.011
Special issue: modelling for decision making in ecological systems - preface
Bean, N. G., Pollett, P. K., Ross, J. V. and Taylor, P. G. (2013) Special issue: modelling for decision making in ecological systems - preface. Ecological Modelling, 249 1-2. doi:10.1016/j.ecolmodel.2012.07.034
Interaction between habitat quality and an Allee-like effect in metapopulations
McVinish, R. and Pollett, P. K. (2013) Interaction between habitat quality and an Allee-like effect in metapopulations. Ecological Modelling, 249 84-89. doi:10.1016/j.ecolmodel.2012.07.001
The deterministic limit of a stochastic logistic model with individual variation
McVinish, R. and Pollett, P. K. (2013) The deterministic limit of a stochastic logistic model with individual variation. Mathematical Biosciences, 241 1: 109-114. doi:10.1016/j.mbs.2012.10.001
Total variation approximation for quasi-equilibrium distributions, II
Barbour, A. D. and Pollett, P. K. (2012) Total variation approximation for quasi-equilibrium distributions, II. Stochastic Processes and Their Applications, 122 11: 3740-3756. doi:10.1016/j.spa.2012.07.004
Chain binomial models and binomial autoregressive processes
Weiss, Christian H. and Pollett, Philip K. (2012) Chain binomial models and binomial autoregressive processes. Biometrics, 68 3: 815-824. doi:10.1111/j.1541-0420.2011.01716.x
A central limit theorem for a discrete-time SIS model with individual variation
McVinish, R. and Pollett, P.K. (2012) A central limit theorem for a discrete-time SIS model with individual variation. Journal of Applied Probability, 49 2: 521-530. doi:10.1239/jap/1339878802
The limiting behaviour of a mainland-island metapopulation
McVinish, R. and Pollett, P. K. (2012) The limiting behaviour of a mainland-island metapopulation. Journal of Mathematical Biology, 64 5: 775-801. doi:10.1007/s00285-011-0429-1
Hodges-Lehmann scale estimator for Cauchy distribution
Kravchuk, O.Y. and Pollett, P.K. (2012) Hodges-Lehmann scale estimator for Cauchy distribution. Communications in Statistics-Theory and Methods, 41 20: 3621-3632. doi:10.1080/03610926.2011.563016
Limits of large metapopulations with patch-dependent extinction probabilities
McVinish, R. and Pollett, P. K. (2010) Limits of large metapopulations with patch-dependent extinction probabilities. Advances in Applied Probability, 42 4: 1172-1186. doi:10.1239/aap/1293113156
Total variation approximation for quasi-stationary distributions
Barbour, A. D. and Pollett, P. K. (2010) Total variation approximation for quasi-stationary distributions. Journal of Applied Probability, 47 4: 934-946. doi:10.1239/jap/1294170510
Locally optimal designs for the simple death process
Pagendam, D. E. and Pollett, P. K. (2010) Locally optimal designs for the simple death process. Journal of Statistical Planning and Inference, 140 11: 3096-3105. doi:10.1016/j.jspi.2010.04.017
Analytical methods for a stochastic mainland-island metapopulation model
Buckley, F. M. and Pollett, P. K. (2010) Analytical methods for a stochastic mainland-island metapopulation model. Ecological Modelling, 221 21: 2526-2530. doi:10.1016/j.ecolmodel.2010.02.017
Preface to the selected papers on modelling and control of metapopulation networks
Buckley, F. M., Nicol, S. and Pollett, P. K. (2010) Preface to the selected papers on modelling and control of metapopulation networks. Ecological Modelling, 221 21: 2512-2514. doi:10.1016/j.ecolmodel.2010.05.017
Robust optimal observation of a metapopulation
Pagendam, D. E. and Pollett, P. K. (2010) Robust optimal observation of a metapopulation. Ecological Modelling, 221 21: 2521-2525. doi:10.1016/j.ecolmodel.2010.02.018
Simple rules for ranking and optimally managing metapopulations
Ross, J. V. and Pollett, P. K. (2010) Simple rules for ranking and optimally managing metapopulations. Ecological Modelling, 221 21: 2515-2520. doi:10.1016/j.ecolmodel.2010.02.016
Chen, AY, Pollett, P, Li, JP and Zhang, HJ (2010) Uniqueness, extinction and explosivity of generalised Markov branching processes with pairwise interaction. Methodology And Computing In Applied Probability, 12 3: 511-531. doi:10.1007/s11009-009-9121-y
Markovian bulk-arrival and bulk-service queues with state-dependent control
Chen, Anyue, Pollett, Phil, Li, Junping and Zhang, Hanjun (2010) Markovian bulk-arrival and bulk-service queues with state-dependent control. Queueing Systems, 64 3: 267-304. doi:10.1007/s11134-009-9162-5
Modelling population processes with random initial conditions
Pollett, P. K., Dooley, A. H. and Ross, J. V. (2010) Modelling population processes with random initial conditions. Mathematical Biosciences, 223 2: 142-150. doi:10.1016/j.mbs.2009.11.008
Limit theorems for discrete-time metapopulation models
Buckley, Fionnuala M. and Pollett, Philip K. (2010) Limit theorems for discrete-time metapopulation models. Probability Surveys, 7 1: 53-83. doi:10.1214/10-PS158
Optimal sampling and problematic likelihood functions in a simple population model
Pagendam, D. E. and Pollett, P. K. (2009) Optimal sampling and problematic likelihood functions in a simple population model. Environmental Modeling and Assessment, 14 6: 759-767. doi:10.1007/s10666-008-9159-1
Ensemble behaviour in population processes with applications to ecological systems
Pollett, P. K. (2009) Ensemble behaviour in population processes with applications to ecological systems. Environmental Modeling and Assessment, 14 5: 545-553. doi:10.1007/s10666-008-9165-3
On parameter estimation in population models II: Multi-dimensional processes and transient dynamics
Ross, J. V., Pagendam, D. E. and Pollett, P. K. (2009) On parameter estimation in population models II: Multi-dimensional processes and transient dynamics. Theoretical Population Biology, 75 2-3: 123-132. doi:10.1016/j.tpb.2008.12.002
Quantitative Risk Stratification in Markov Chains with Limiting Conditional Distributions
Chan, D. C., Pollett, P. K. and Weinstein, M. C. (2009) Quantitative Risk Stratification in Markov Chains with Limiting Conditional Distributions. Medical Decision Making, 29 4: 532-540. doi:10.1177/0272989X08330121
Quasi-Stationary Distributions for Reducible Absorbing Markov Chains in Discrete Time
van Doorn, E. A. and Pollett, P. K. (2009) Quasi-Stationary Distributions for Reducible Absorbing Markov Chains in Discrete Time. Markov Processes and Related Fields, 15 2: 191-204.
Flegg, M. B., Pollett, P. K. and Gramotnev, D. K. (2008) Ehrenfest model for condensation and evaporation processes in degrading aggregates with multiple bonds. Physical Review E, 78 3: Article Number: 031117 Pt.1. doi:10.1103/PhysRevE.78.031117
A note on the existence and uniqueness of a bounded mean-reverting process
Lesmono, D., Pollett, P. K., Tonkes, E. J. and Burrage, K. (2008) A note on the existence and uniqueness of a bounded mean-reverting process. Journal of the Indonesian Mathematical Society, 14 2: 83-93.
Metapopulation persistence in a dynamic landscape: more habitat or better stewardship?
Ross, J. V., Sirl, D. J., Pollett, P. K. and Possingham, H. P. (2008) Metapopulation persistence in a dynamic landscape: more habitat or better stewardship?. Ecological Applications, 18 3: 590-598. doi:10.1890/07-1094.1
Survival in a quasi-death process
Van Doorn, E. A. and Pollett, P. K. (2008) Survival in a quasi-death process. Linear Algebra and its Applications, 429 4: 776-791. doi:10.1016/j.laa.2008.04.004
Management, control and decision making for ecological systems
Pollett, Philip K. and Ross, Joshua V. (2007) Management, control and decision making for ecological systems. Ecological Modelling, 201 1: 1-1. doi:10.1016/j.ecolmodel.2006.07.020
A note on extinction times for the general birth, death and catastrophe process
Pollett, Phil K., Zhang, Hanjun J. and Cairns, Benjamin J. (2007) A note on extinction times for the general birth, death and catastrophe process. Journal of Applied Probability, 44 2: 566-569. doi:10.1239/jap/1183667423
A remark on the uniqueness of weighted Markov branching processes
Chen, A. Y., Pollett, P. K., Li, J. P. and Zhang, H. J. (2007) A remark on the uniqueness of weighted Markov branching processes. Journal of Applied Probability, 44 1: 279-283. doi:10.1239/jap/1175267178
Computable bounds for the decay parameter of a birth-death process
Sirl, D., Zhang, H. J. and Pollett, P. K. (2007) Computable bounds for the decay parameter of a birth-death process. Journal of Applied Probability, 44 2: 476-491. doi:10.1239/jap/1183667415
Estimation for queues from queue length data
Ross, J. V., Taimre, T. and Pollett, P. K. (2007) Estimation for queues from queue length data. Queueing Systems, 55 2: 131-138. doi:10.1007/s11134-006-9009-2
On costs and decisions in population management
Ross, J. V. and Pollett, P. K. (2007) On costs and decisions in population management. Ecological Modelling, 201 1: 60-66. doi:10.1016/j.ecolmodel.2006.07.021
Stochastic models for the spread of HIV in a mobile heterosexual population
Sani, A., Kroese, D. P. and Pollett, P. K. (2007) Stochastic models for the spread of HIV in a mobile heterosexual population. Mathematical Biosciences, 208 1: 98-124. doi:10.1016/j.mbs.2006.09.024
On parameter estimation in population models
Ross, J. V., Taimre, T. and Pollett, P. K. (2006) On parameter estimation in population models. Theoretical Population Biology, 70 4: 498-510. doi:10.1016/j.tpb.2006.08.001
Extinction times for a birth-death process with two phases
Ross, JV and Pollett, PK (2006) Extinction times for a birth-death process with two phases. Mathematical Biosciences, 202 2: 310-322. doi:10.1016/j.mbs.2006.02.004
Approximating persistence in a general class of population processes
Cairns, BJ and Pollett, F (2005) Approximating persistence in a general class of population processes. Theoretical Population Biology, 68 -: 77-90. doi:10.1016/j.tpb.2005.02.002
On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure
Gray, B, Pollett, P and Zhang, HJ (2005) On the existence of uni-instantaneous Q-processes with a given finite mu-invariant measure. Journal of Applied Probability, 42 3: 713-725. doi:10.1239/jap/1127322022
Uniqueness criteria for continuous-time Markov chains with general transition structures
Chen, AY, Pollett, P, Zhang, HJ and Cairns, B (2005) Uniqueness criteria for continuous-time Markov chains with general transition structures. Advances In Applied Probability, 37 4: 1056-1074. doi:10.1239/aap/1134587753
Existence and uniqueness of Q-processes with a given finite μ-invariant measure
Pollett, P. and Zhang, H. J. (2004) Existence and uniqueness of Q-processes with a given finite μ-invariant measure. Australian & New Zealand Journal of Statistics, 46 1: 113-120. doi:10.1111/j.1467-842X.2004.00317.x
Foreword: Festschrift in honour of Daryl Daley
Pollett, Phil and Taylor, Peter (2004) Foreword: Festschrift in honour of Daryl Daley. Australian and New Zealand Journal of Statistics, 46 1: 3-3. doi:10.1111/j.1467-842X.2004.00305.x
A reduced load approximation accounting for link interactions in a loss network
Thompson, M.R. and Pollett, P. K. (2004) A reduced load approximation accounting for link interactions in a loss network. Journal of Applied Mathematics and Decision Sciences, 7 4: 229-248. doi:10.1155/S1173912603000191
Extinction times for a general birth, death and catastrophe process
Cairns, Ben and Pollett, P. K. (2004) Extinction times for a general birth, death and catastrophe process. Journal of Applied Probability, 41 4: 1211-1218. doi:10.1239/jap/1101840567
The collision branching process
Chen, A., Pollett, P., Zhang, H. and Li, J. (2004) The collision branching process. Journal of Applied Probability, 41 4: 1033-1048. doi:10.1239/jap/1101840549
A new method for analysing the equilibrium and time-dependent behaviour of Markovian models
Pollett, PK and Thompson, MR (2003) A new method for analysing the equilibrium and time-dependent behaviour of Markovian models. Mathematical And Computer Modelling, 38 11-13: 1409-1418. doi:10.1016/S0895-7177(03)90144-0
A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic
Clancy, D and Pollett, PK (2003) A note on quasi-stationary distributions of birth-death processes and the SIS logistic epidemic. Journal of Applied Probability, 40 3: 821-825. doi:10.1239/jap/1059060909
Product form approximations for highly linear loss networks with trunk reservation
Bebbington, M., Pollett, P. and Ziedins, I. (2003) Product form approximations for highly linear loss networks with trunk reservation. Mathematical And Computer Modelling, 38 11-13: 1147-1156. doi:10.1016/S0895-7177(03)90115-4
Path integrals for continuous-time Markov chains
Pollett, P. K. and Stefanov, V. T. (2002) Path integrals for continuous-time Markov chains. Journal of Applied Probability, 39 4: 901-904. doi:10.1239/jap/1037816029
Integrals for continuous-time Markov chains
Pollett, P. K. (2002) Integrals for continuous-time Markov chains. Mathematical Biosciences, 182 2: 213-225. doi:10.1016/S0025-5564(02)00161-X
Two-link approximation schemes for loss networks with linear structure and trunk reservation
Bebbington, M., Pollett, P. and Ziedins, I. (2002) Two-link approximation schemes for loss networks with linear structure and trunk reservation. Telecommunication Systems, 19 2: 187-207. doi:10.1023/A:1013394009996
Approximations for the long-term behaviour of an open-population epidemic model
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 1: 75-95.
Quasi-stationarity in populations that are subject to large-scale mortality or emigration
Pollett, P. K. (2001) Quasi-stationarity in populations that are subject to large-scale mortality or emigration. Environment International, 27 2-3: 231-236. doi:10.1016/S0160-4120(01)00092-7
Pollett, P. K. (2001) Similar Markov chains. Journal of Applied Probability, 38A A: 53-65. doi:10.1239/jap/1085496591
Elmes, S., Pollett, P. K. and Walker, D. M. (2000) Further results on the relationship between mu-invariant measures and quasi-stationary distributions for absorbing continuous-time Markov chains. Mathematical and Computer Modelling, 31 10-12: 107-113. doi:10.1016/S0895-7177(00)00077-7
Quasistationarity of continuous-time Markov chains with positive drift
Coolen-Schrijner, P., Hart, A. and Pollett, P (2000) Quasistationarity of continuous-time Markov chains with positive drift. Journal of The Australian Mathematical Society Series B-applied Mathematics, 41 4: 423-441. doi:10.1017/S0334270000011735
Modelling congestion in closed queueing networks
Pollett, P. K. (2000) Modelling congestion in closed queueing networks. International Transactions in Operational Research, 7 4-5: 319-330.
New methods for determining quasi-stationary distributions for Markov chains
Hart, A. G. and Pollett, P. K. (2000) New methods for determining quasi-stationary distributions for Markov chains. Mathematical And Computer Modelling, 31 10-12: 143-150. doi:10.1016/S0895-7177(00)00081-9
Quasistationarity in continuous-time Markov chains where absorption is not certain
Darlington, SJ and Pollett, PK (2000) Quasistationarity in continuous-time Markov chains where absorption is not certain. Journal of Applied Probability, 37 2: 598-600. doi:10.1239/jap/1014842561
Quasistationary distributions for level-dependent quasi-birth-and-death processes
Bean, N. G., Pollett, P. K. and Taylor, P. (2000) Quasistationary distributions for level-dependent quasi-birth-and-death processes. Communications in Statistics-Stochastic Models, 16 5: 511-541. doi:10.1080/15326340008807602
Modelling quasi-stationary behaviour in metapopulations
Pollett, PK (1999) Modelling quasi-stationary behaviour in metapopulations. Mathematics and Computers in Simulation, 48 4-6: 393-405. doi:10.1016/S0378-4754(99)00019-1
Quasi-stationarity of discrete-time Markov chains with drift to infinity
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 1: 81-96.
Quasistationary distributions for continuous time Markov chains when absorption is not certain
Pollett, PK (1999) Quasistationary distributions for continuous time Markov chains when absorption is not certain. Journal of Applied Probability, 36 1: 268-272. doi:10.1017/S0021900200017022
Quasistationary distributions for continuous time Markov chains when absorption is not certain
Pollett, P. K. (1999) Quasistationary distributions for continuous time Markov chains when absorption is not certain. Journal of Applied Probability, 36 1: 268-272. doi:10.1239/jap/1032374247
Non-explosivity of limits of conditioned birth and death processes
Roberts, GO, Jacka, SD and Pollett, PK (1997) Non-explosivity of limits of conditioned birth and death processes. Journal of Applied Probability, 34 1: 35-45. doi:10.2307/3215172
THE QUASI-STATIONARY BEHAVIOR OF QUASI-BIRTH-AND-DEATH PROCESSES
Bean, N. G., Bright, L., Latouche, G., Pearce, C. E. M., Pollett, P. K. and Taylor, P. G. (1997) THE QUASI-STATIONARY BEHAVIOR OF QUASI-BIRTH-AND-DEATH PROCESSES. Annals of Applied Probability, 7 1: 134-155.
Limiting conditional distributions for birth-death processes
Kijima, M, Nair, MG, Pollett, PK and VanDoorn, EA (1997) Limiting conditional distributions for birth-death processes. Advances In Applied Probability, 29 1: 185-204. doi:10.2307/1427866
Modelling the long-term behaviour of evanescent ecological systems
Pollett, PK (1996) Modelling the long-term behaviour of evanescent ecological systems. Ecological Modelling, 86 2-3: 135-139. doi:10.1016/0304-3800(95)00040-2
Pollett, PK (1995) The Determination of Quasi-Stationary Distributions Directly From the Transition Rates of An Absorbing Markov-Chain. Mathematical and Computer Modelling, 22 10-12: 279-287. doi:10.1016/0895-7177(95)00205-G
On the Identification of Continuous-Time Markov-Chains with a Given Invariant Measure
Pollett, PK (1994) On the Identification of Continuous-Time Markov-Chains with a Given Invariant Measure. Journal of Applied Probability, 31 4: 897-910. doi:10.2307/3215315
Poisson Approximations for Telecommunications Networks (Vol 32, Pg 348, 1991)
Brown, TC and Pollett, PK (1994) Poisson Approximations for Telecommunications Networks (Vol 32, Pg 348, 1991). Journal of the Australian Mathematical Society Series B-Applied Mathematics, 36 132-132. doi:10.1017/S0334270000010298
Pollett, PK and Stewart, DE (1994) An Efficient Procedure for Computing Quasi-Stationary Distributions of Markov-Chains with Sparse Transition Structure. Advances in Applied Probability, 26 1: 68-79. doi:10.2307/1427580
Nair, MG and Pollett, PK (1993) On the Relationship Between Mu-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov-Chains (Vol 25, Pg 82, 1993). Advances in Applied Probability, 25 3: 717-719.
Nair, MG and Pollett, PK (1993) On the Relationship Between Mu-Invariant Measures and Quasi-Stationary Distributions for Continuous-Time Markov-Chains. Advances in Applied Probability, 25 1: 82-102. doi:10.2307/1427497
Pollett, P. K. and Taylor, P. G. (1993) On the problem of establishing the existence of stationary distributions for continuous-time markov chains. Probability in the Engineering and Informational Sciences, 7 4: 529-543. doi:10.1017/S0269964800003119
Connecting Internally Balanced Quasi-Reversible Markov-Processes
Henderson, W, Pearce, Cem, Pollett, PK and Taylor, PG (1992) Connecting Internally Balanced Quasi-Reversible Markov-Processes. Advances in Applied Probability, 24 4: 934-959. doi:10.2307/1427720
Diffusion Approximations for Some Simple Chemical-Reaction Schemes
Pollett, PK and Vassallo, A (1992) Diffusion Approximations for Some Simple Chemical-Reaction Schemes. Advances in Applied Probability, 24 4: 875-893. doi:10.2307/1427717
Invariant-Measures for Q-Processes When Q Is Not Regular
Pollett, PK (1991) Invariant-Measures for Q-Processes When Q Is Not Regular. Advances in Applied Probability, 23 2: 277-292. doi:10.2307/1427748
On the Construction Problem for Single-Exit Markov-Chains
Pollett, PK (1991) On the Construction Problem for Single-Exit Markov-Chains. Bulletin of the Australian Mathematical Society, 43 3: 439-450.
Diffusion Approximations for a Circuit Switching Network with Random Alternative Routing
Pollett, PK (1991) Diffusion Approximations for a Circuit Switching Network with Random Alternative Routing. Australian Telecommunication Research, 25 2: 45-51.
On the construction problem for single-exit Markov chains
Pollett, P. K. (1991) On the construction problem for single-exit Markov chains. Bulletin of the Australian Mathematical Society, 43 3: 439-450. doi:10.1017/S0004972700029282
Poisson Approximations for Telecommunications Networks
Brown, TC and Pollett, PK (1991) Poisson Approximations for Telecommunications Networks. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 32 348-364. doi:10.1017/S0334270000006913
On a Model for Interference Between Searching Insect Parasites
Pollett, PK (1990) On a Model for Interference Between Searching Insect Parasites. Journal of the Australian Mathematical Society Series B-Applied Mathematics, 32 133-150. doi:10.1017/S0334270000008390
A Note On the Classification of Q-Processes When Q Is Not Regular
Pollett, PK (1990) A Note On the Classification of Q-Processes When Q Is Not Regular. Journal of Applied Probability, 27 2: 278-290. doi:10.2307/3214647
Pollett, PK and Roberts, AJ (1990) A Description of the Long-Term Behavior of Absorbing Continuous-Time Markov-Chains Using a Center Manifold. Advances in Applied Probability, 22 1: 111-128. doi:10.2307/1427600
The Generalized Kolmogorov Criterion
Pollett, PK (1989) The Generalized Kolmogorov Criterion. Stochastic Processes and Their Applications, 33 1: 29-44. doi:10.1016/0304-4149(89)90064-1
The Supercritical Birth, Death and Catastrophe Process - Limit-Theorems On the Set of Extinction
Pakes, AG and Pollett, PK (1989) The Supercritical Birth, Death and Catastrophe Process - Limit-Theorems On the Set of Extinction. Stochastic Processes and Their Applications, 32 1: 161-170. doi:10.1016/0304-4149(89)90060-4
On the Problem of Evaluating Quasistationary Distributions for Open Reaction Schemes
Pollett, PK (1988) On the Problem of Evaluating Quasistationary Distributions for Open Reaction Schemes. Journal of Statistical Physics, 53 5-6: 1207-1215. doi:10.1007/BF01023864
Reversibility, Invariance and Mu-Invariance
Pollett, PK (1988) Reversibility, Invariance and Mu-Invariance. Advances in Applied Probability, 20 3: 600-621. doi:10.2307/1427037
Pollett, PK (1988) A Method Involving Antithetic Sampling for Estimating Blocking Probabilities in a Circuit-Switched Network. Australian Telecommunication Research, 22 2: 39-44.
Preserving Partial Balance in Continuous-Time Markov-Chains
Pollett, PK (1987) Preserving Partial Balance in Continuous-Time Markov-Chains. Advances in Applied Probability, 19 2: 431-453. doi:10.2307/1427426
Quasi-Stationary Distributions for Autocatalytic Reactions
Parsons, RW and Pollett, PK (1987) Quasi-Stationary Distributions for Autocatalytic Reactions. Journal of Statistical Physics, 46 1-2: 249-254. doi:10.1007/BF01010344
Connecting Reversible Markov-Processes
Pollett, PK (1986) Connecting Reversible Markov-Processes. Advances in Applied Probability, 18 4: 880-900. doi:10.2307/1427254
On the Equivalence of Mu-Invariant Measures for the Minimal Process and its Q-Matrix
Pollett, PK (1986) On the Equivalence of Mu-Invariant Measures for the Minimal Process and its Q-Matrix. Stochastic Processes and Their Applications, 22 2: 203-221. doi:10.1016/0304-4149(86)90002-5
Kingman, J, Biggins, JD, Hordijk, A, Ackroyd, MH, Pollett, PK, Gibbens, RJ, Bather, JA, Key, PB, Macphee, IM, Donnelly, PJ, Bernerslee, C, Stidham, S and Zachary, S (1985) Stochastic-Models of Computer-Communication Systems - Response-Time Problems in Communication-Networks - Scheduling and Characterization Problems for Stochastic Networks - Discussion. Journal of the Royal Statistical Society Series B-Methodological, 47 3: 415-428.
Distributional Approximations for Networks of Quasireversible Queues
Pollett, PK (1984) Distributional Approximations for Networks of Quasireversible Queues. Lecture Notes in Mathematics, 1095 108-129.
Sojourn Times in Closed Queuing-Networks
Kelly, FP and Pollett, PK (1983) Sojourn Times in Closed Queuing-Networks. Advances in Applied Probability, 15 3: 638-656. doi:10.2307/1426623
Some Distributional Approximations in Markovian Queuing-Networks
Brown, TC and Pollett, PK (1982) Some Distributional Approximations in Markovian Queuing-Networks. Advances in Applied Probability, 14 3: 654-671. doi:10.2307/1426679
Fault diagnosis using consensus of Markov chains
Jovanovic, Dejan P. and Pollett, Philip K. (2011). Fault diagnosis using consensus of Markov chains. In: Georg Frey and Felix Felgner, Proceedings of the 3rd International Workshop on Dependable Control of Discrete Systems. 3rd International Workshop on Dependable Control of Discrete Systems, Saarbrucken, Germany, (65-71). 15-17 June 2011. doi:10.1109/DCDS.2011.5970320
Fault modelling using a mixture of conditional Gaussian transitions
Jovanovic, Dejan P., McVinish, Ross S. and Pollett, Philip K. (2011). Fault modelling using a mixture of conditional Gaussian transitions. In: Argyrios Zolotas, Proceedings of the 19th Mediterranean Conference on Control and Automation. 19th Mediterranean Conference on Control and Automation, Corfu, Greece, (472-478). 20-23 June 2011. doi:10.1109/MED.2011.5983194
Interaction between habitat quality and an Allee-like effect in metapopulations
McVinish, R. and Pollett, P. K. (2011). Interaction between habitat quality and an Allee-like effect in metapopulations. In: F. Chan, D. Marinova and R. S. Anderssen, Proceedings of the 19th International Congress on Modelling and Simulation (MODSIM2011). 19th International Congress on Modelling and Simulation (MODSIM2011), Perth, Australia, (2254-2260). 12-16 December 2011.
Analytical methods for a stochastic mainland-island metapopulation model
Buckley, F. M. and Pollett, P. K. (2009). Analytical methods for a stochastic mainland-island metapopulation model. In: , , (1767-1773). .
Analytical methods for a stochastic mainland-island metapopulation model
Buckley, F. M. and Pollett, P. K. (2009). Analytical methods for a stochastic mainland-island metapopulation model. In: Anderssen, R. S., Braddock, R. D. and Newham, L. T. H., Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation. 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia, (1767-1773). 13-17 July, 2009.
Robust optimal observation of a metapopulation
Pagendam, D. E. and Pollett, P. K. (2009). Robust optimal observation of a metapopulation. In: Anderssen, R. S., Braddock, R. D. and Newham, L. T. H., Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation. 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia, (1781-1787). 13-17 July, 2009.
Rules of thumb for metapopulation management
Ross, J. V. and Pollett, P. K. (2009). Rules of thumb for metapopulation management. In: Anderssen, R. S., Braddock, R. D. and Newham, L. T. H., Proceedings of the 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation. 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation, Cairns, Australia, (1795-1801). 13-17 July, 2009.
Ensemble behaviour in population processes with applications to ecological systems
Pollett, P. K. (2007). Ensemble behaviour in population processes with applications to ecological systems. In: Oxley, L. and Kulasiri, D., Proceedings of the 17th Biennial Congress on Modelling and Simulation. 17th Biennial Congress on Modelling and Simulation (MODSIM07), Christchurch, New Zealand, (2903-2909). 10-13 December, 2007.
Optimal sampling and problematic likelihood functions in a simple population model
Pagendam, D. E. and Pollett, P. K. (2007). Optimal sampling and problematic likelihood functions in a simple population model. In: Oxley, L. and Kulasiri, D., Proceedings of the 17th Biennial Congress on Modelling and Simulation. 17th Biennial Congress on Modelling and Simulation (MODSIM07), Christchurch, New Zealand, (2946-2952). 10-13 December, 2007.
Costs and decisions in population management: Koalas on Kangaroo Island
Pollett, P. K. and Ross, J.V. (2005). Costs and decisions in population management: Koalas on Kangaroo Island. In: A. Zerger and R. M. Argent, Proceedings of the 16th Biennial Congress on Modelling and Simulation. 16th Biennial Congress on Modelling and Simulation MODSIM05, University of Melbourne, (2082-2088). 12 - 15 December 2005.
Product Form Approximations for Highly Linear Loss Networks with Trunk Reservation
Bebbington, M., Pollett, P. and Ziedins, I. (2003). Product Form Approximations for Highly Linear Loss Networks with Trunk Reservation. In: , , (1147-1156). .
A method for evaluating the distribution of the total cost of a random process over its lifetime
Pollett, P. K. and Stefanov, V.T. (2003). A method for evaluating the distribution of the total cost of a random process over its lifetime. In: D.A. Post, Proceedings of the International Congress on Modelling and Simulation. International Congress on Modelling and Simulation, Townsville, Australia, (1863-1867). 14-17 July 2003.
Evaluating persistence times in populations that are subject to local catastrophes
Cairns, B. J. and Pollett, P. K. (2003). Evaluating persistence times in populations that are subject to local catastrophes. In: D.A. Post, Proceedings of the International Congress on Modelling and Simulation. International Congress on Modelling and Simulation, Townsville, Australia, (747-752). 14-17 July 2003.
A reduced load approximation accounting for link interactions in a loss network
Thompson, M. and Pollett, P. K. (2001). A reduced load approximation accounting for link interactions in a loss network. In: Pearce, C. E. M., Operations Research in the Third Millenium, Proceedings of the 16th National Conference of the Australian Society for Operations Research. 16th National Conf. of the Aust.Soc. for Operations Research, McLarens On the Lake, McLaren Vale, Sth. Australia, (). 23 - 26 September 2001.
Diffusion approximations for ecological models
Pollett, P. K. (2001). Diffusion approximations for ecological models. In: F. Ghassemi, P. Whetton, R. Little and M. Littleboy, Proceedings of the International Congress of Modelling and Simulation. International Congress on Modelling and Simulation, Australian National University, Canberra, (843-848). 10-13/12/01.
Resource allocation in general queueing networks with applications to data networks
Pollett, P. K. (2001). Resource allocation in general queueing networks with applications to data networks. In: C.E.M. Pearce, Operations Research in the Third Millenium, Proceedings of the 16th National Conference of the Australian Society for Operations Research (Optimization Day). 16th National Conf. of the Aust.Soc. for Operations Research, McLarens On the Lake, McLaren Vale, Sth. Australia, (). 27th September 2001.
Resource allocation in general queueing networks
Pollett, P. K. (2000). Resource allocation in general queueing networks. In: A. Ohuchi, Putting OR/MS Theory into Real Life: Proceedings of the 2nd Joint International Workshop of the Operations Research Scoeity of Japan the Australian Society of Operations Research. Putting OR/Ms Theory into Real Life, Kito Nijyo Club, Sapporo, Japan, (221-228). 26-28 June 2000.
Bottlenecks in Markovian queueing networks
Pollett, P. K. (1999). Bottlenecks in Markovian queueing networks. In: E. Kozan, Proceedings of the 15th National Conference of the Australian Society of Operations Research. 15th National Conference of the Australian Society for Operations Research, Gold Coast, Aust., (1047-1056). 4-7 July, 1999.
Product form approximations for highly linear loss networks with trunk reservation
Bebbington, M. S., Pollett, P. K. and Ziedins, I. (1999). Product form approximations for highly linear loss networks with trunk reservation. In: R.J. Wilson, S. Osaki and M. J. Faddy, Proceedings of the 1st Western Pacific and 3rd Aust.ralian-Japan Workshop on Stochastic Models in Engineering Technology and Management. , Christchurch, NZ, (45-54). 23-25 Sept, 1999.
Quasistationarity in populations that are subject to large-scale mortality or emigration
Pollett, P. K. (1999). Quasistationarity in populations that are subject to large-scale mortality or emigration. In: L. Oxley, F. Scimgeour and A. Jakeman, Proceedings of the International Congress on Modelling and Simulation. MODSIM 99 - International Congress on Modelling & Simulation, Hamilton, NZ, (667-672). 6-9 December 1999.
The analysis of continuous-time Markovian models using expected rates
Pollett, P. K. and Thompson, M. (1999). The analysis of continuous-time Markovian models using expected rates. In: R. J. Wislon, S. Osaki and M. J. Faddy, Proceed. of the 1st Western Pacific & 3rd Australia-Japan Workshop on Stochastic Models in Engineering Technology and Management. 1st West.Pacific & 34d Aust.-Japan Workshop on Stochastic Models in Engin. Technology & Management, Christchurch, NZ, (456-465). 23-25 September 1999.
(2015–2018) University of Melbourne
(2014–2021) University of Melbourne
Understanding the effects of individual variation on population dynamics
(2014) ARC Discovery Projects
(2012–2015) University of Melbourne
(2011–2013) University of Adelaide
(2009–2012) ARC Linkage Projects
Strategies for managing invasive species in space: deciding whether to eradicate, contain or control
(2008–2009) University of Melbourne
(2003–2013) University of Melbourne
Analytical and Computational Methods for Studying Explosive Random Processes
(2001–2003) ARC Australian Research Council (Large grants)
Analytical and computational methods for assessing the performance of telecommunications networks
(1997–1999) ARC Australian Research Council (Large grants)
Analytical and computational methods for modelling evanescent random processes
(1995–1997) ARC Australian Research Council (Large grants)
The limiting behaviour of metapopulation models via random measures
Doctor Philosophy — Principal Advisor
Other advisors:
An analysis of current philosophical perspectives on probability with particular relevance to their implications in confirmation theory and other related fields
Doctor Philosophy — Associate Advisor
Computational methods for sums of random variables
(2018) Doctor Philosophy — Principal Advisor
A Model for the Spread of an SIS Epidemic in a Human Population
(2015) Doctor Philosophy — Principal Advisor
Other advisors:
Spatially structured metapopulation models within static and dynamic environments
(2015) Doctor Philosophy — Principal Advisor
Other advisors:
Fault Detection in Complex and Distributed Systems
(2014) Doctor Philosophy — Principal Advisor
Other advisors:
Analytical methods for stochastic discrete-time metapopulation models
(2011) Doctor Philosophy — Principal Advisor
Other advisors:
Experimental Design and Inference for Population Models
(2010) Doctor Philosophy — Principal Advisor
On the Analysis of Absorbing Markov Processes
(2008) Doctor Philosophy — Principal Advisor
TOPICS IN QUASISTATIONARITY FOR MARKOV CHAINS
(2008) Master Philosophy — Principal Advisor
Other advisors:
DENSITY DEPENDENT MARKOV POPULATION PROCESSES: MODELS AND METHODOLOGY
(2007) Doctor Philosophy — Principal Advisor
Other advisors:
TRIGONOMETRIC SCORES RANK PROCEDURES WITH APPLICATIONS TO LONG-TAILED DISTRIBUTIONS
(2006) Doctor Philosophy — Principal Advisor
Other advisors:
HITTING TIMES FOR MARKOV POPULATION PROCESSES SUBJECT TO CATASTROPHES
(2005) Doctor Philosophy — Principal Advisor
Other advisors:
FIXED POINT METHODS FOR LOSS NETWORKS
(2002) Doctor Philosophy — Principal Advisor
Modelling heavy-tails with phase-type scale mixture distributions
(2018) Doctor Philosophy — Associate Advisor
(2014) Doctor Philosophy — Associate Advisor
Other advisors:
Advances in Cross-Entropy Methods
(2009) Doctor Philosophy — Associate Advisor
Other advisors:
Stochastic Modelling and Intervention of the Spread of HIV/AIDS
(2009) Doctor Philosophy — Associate Advisor
Other advisors:
LONG TIME SCALE PATH INTEGRAL MOLECULAR DYNAMICS FROM EQUATIONS OF MOTION
(2007) Doctor Philosophy — Associate Advisor
VOLUME WEIGHTED AVERAGE PRICE OPTION
(2007) Doctor Philosophy — Associate Advisor
OPTIMAL MONITORING AND HARVESTING OF A WILD POPULATION UNDER UNCERTAINTY
(2006) Doctor Philosophy — Associate Advisor
Other advisors: