1997 Research Publications

Mathematics

Books and Chapters

Allie, S., Mees, A.I., Judd, K. and Watson, D. Triangulating Noisy Dynamical Systems, Control and Chaos, eds K. Judd, A.I. Mees, K.L. Teo, T. Vincent, Boston, Massachusetts, Birkhauser, 1: pp 1-11 (1997)

Glass, K., Renton, M., Judd, K. and Mees, A.I. Creating and Targeting Periodic Orbits, Control and Chaos, eds K. Judd, A. I. Mees, K. L. Teo, T. L. Vincent, Boston, Massachusetts, Birkhauser, 1: pp 183-196 (1997)

Jennings, L.S., Teo, K.L., Fisher, M.E. and Goh, C.J. MISER3 version 2, Optimal Control Software, Theory and User Manual, Perth, Western Australia, Department of Mathematics, University of Western Australia (1997)

Judd, K., Mees, A.I., Teo, K.L. and Vincent, T. Control and Chaos, Boston, Massachusetts, Birkhauser (1997)

Judd, K. and Mees, A.I. Modeling Chaos from Experimental Data, Control and Chaos, eds K. Judd, A.I. Mees, K.L. Teo, T. Vincent, Boston, Massachusetts, Birkhauser, pp 25-38 (1997)

Pakes, A.G. The Laws of Some Random Series of Independent Summands, Advances in the Theory and Practice of Statistics : A Volume in Honor of Samuel Kotz, eds N.L. Johnson, N. Balakrishnan, New York, USA, John Wiley and Sons, 1: pp 499-516 (1997)

Paskota, M., Teo, K.L. and Mees, A.I. Combined Controls for Noisy Chaotic Systems, Control and Chaos, eds A. I. Mees, K. Judd, T.L. Vincent, K.L. Teo, Boston, Massachusetts, Birkhauser, 1: pp 207-225 (1997)

Payne, S.E., Penttila, T. and ROyle, G.F. Building a cyclic q-clan, Mostly Finite Geometries, ed N.L. Johnson, New York, USA, Marcel Dekker Incorporated, 190: pp 365-378 (1997)

Praeger, C.E. and Soicher, L.H. Low rank representations and graphs for sporadic q groups, Cambridge, United Kingdom, Cambridge University Press (1997)

Praeger, C.E., Li, C.H. and Niemeyer, A.C. Finite Transitive Permutation Groups and Finite Vertex-transitive Graphs, Graph Symmetry: Algebraic Methods and Applications, eds G. Hahn, G. Sabidussi, Dordrecht, Netherlands, Kluwer Academic Publishers, 497: pp 277-318 (1997)

Praeger, C.E. Finite Quasiprimitive Graphs, Surveys in Combinatorics, 1997, ed R.A. Bailey, Cambridge, United Kingdom, Cambridge University Press, 241: pp 65-85 (1997)

Journal Articles

Abarbanel, H.D.I., Korzinov, L., Mees, A.I. and Rulkov, N.F. Small force control of nonlinear systems to given orbits, IEEE Transactions on Circuits and Systems I, 44:10, pp 1018-1023 (1997)

Abarbanel, H.D.I., Korzinov, L., Mees, A.I. and Starobinets, I.M. Optimal control of nonlinear systems to given orbits, Systems and Control Letters, 31: pp 263-276 (1997)

Allie, S. and Mees, A.I. Finding periodic points from short time series, Physical Review E, 56: pp 346-350 (1997)

Allie, S., Judd, K., Mees, A.I. and Watson, D. Reconstructing noisy dynamical systems by triangulations, Physical Review E, 55:1, pp 87-93 (1997)

Baddeley, A.J. and Gill, R.D. Kaplan-Meier estimators of distance distributions for spatial point processes, Annals of Statistics, 25: pp 263-292 (1997)

Ball, F.G., Milne, R.K., Tame, I.D. and Yeo, G.F. Superposition of interacting aggregated continuous-time Markov chains, Advances in Applied Probability, 29: pp 56-91 (1997)

Boschetti, F., Dentith, M.C. and List, R.D. Inversion of potential field data by genetic algorithms, Geophysical Prospecting, 45: pp 461- 478 (1997)

Cao, L.Y., Judd, K. and Mees, A.I. Targeting using global models built from nonstationary data, Physics Letters A, 231: pp 367-372 (1997)

Cao, L.Y., Mees, A.I. and Judd, K. Modeling and predicting non-stationary time series, International Journal of Bifurcation and Chaos, 7:8, pp 1823-1831 (1997)

Chen, G.Y., Goh, C.J. and Yang, X.Q. On gap functions and duality of variational inequality problems, Journal of Mathematical Analysis and Applications, 214: pp 658-673 (1997)

Conder, M., Morton, M. and Praeger, C.E. Partition graphs for finite symmetric groups, Journal of Graph Theory, 25: pp 107-117 (1997)

Donovan, D., Oates-Williams, S. and Praeger, C.E. On the distance between distinct group Latin squares, Journal of Combinatorial Designs, 5: pp 235-248 (1997)

Dragomir, S. and Fitzpatrick, S. s-Orlicz convex functions in linear spaces and Jensen's discrete inequality, Journal of Mathematical Analysis and Applications, 210: pp 419-439 (1997)

Froyland, G. Computer-assisted bounds for the rate of decay of correlations, Communications in Mathematical Physics, 189:1, pp 237-257 (1997)

Goh, B.S. Algorithms for unconstrained optimization problems via control theory, Journal of Optimization Theory and Applications, 92:3, pp 581-604 (1997)

Goh, C.J. and Yang, X.Q. A sufficient and necessary condition for non-convex constrained optimization, Applied Mathematics Letters, 10:5, pp 9-12 (1997)

Harding, R.W. and Maller, R.A. An improved methodology for displaying and analysing age-arrest profiles, Journal of Quantitative Criminology, 13: pp 349-372 (1997)

Hood, M. and Fitzpatrick, S. A Fourier transform exercise, Gazette of the Australian Mathematical Society, 24:2, pp 74-75 (1997)

Hopwood, J.M. and Scott, W.D. A mathematical model of saltation, Acta Mechanica, 124: pp 1-4 (1997)

Hurley, D.G. The generation of internal waves by vibrating elliptic cylinders. Part 1. Inviscid solution, Journal of Fluid Mechanics, 351: pp 105-118 (1997)

Ivanov, A.A., Liebler, R.A., Penttila, T. and Praeger, C.E. Antipodal distance-transitive covers of complete bipartite graphs, European Journal of Combinatorics, 18: pp 11-33 (1997)

Keady, G. and Hurley, D.G. The generation of internal waves by vibrating elliptic cylinders, Part 2: Approximate viscous solution, Journal of Fluid Mechanics, 351: pp 119-138 (1997)

Kesten, H. and Maller, R.A. Random deletion does not affect asymptotic normality or quadratic negligibility, Journal of Multivariate Analysis, 63: pp 136-179 (1997)

Kesten, H. and Maller, R.A. Divergence of a random walk through deterministic and random subsequences, Journal of Theoretical Probability, 10: pp 395-427 (1997)

Lambrou, M.S. and Longstaff, W.E. Non-reflexive pentagon subspace lattices, Studia Mathematica, 125:2, pp 187-199 (1997)

Lee, C.S. and Goh, B.S. Harvesting strategies for a migratory fish stock based on a model with uncertainty, Natural Resource Modeling, 10:2, pp 109-128 (1997)

Lee, H.W.J., Teo, K.L. and Jennings, L.S. On optimal control of multi-link vertical planar robot arms systems moving under the effect of gravity, Journal of the Australian Mathematical Society Series B, 39: pp 195-213 (1997)

Lee, H.W.J., Teo, K.L., Jennings, L.S. and Rehbock, V. Control parametrization enhancing technique for time optimal control problems, Dynamic Systems and Applications, 6:2, pp 243-261 (1997)

Li, C.H. The primitive permutation groups of certain degrees, Journal of Pure and Applied Algebra, 115: pp 275-287 (1997)

Li, C.H. and Praeger, C.E. On finite groups in which any two elements of the same order are fused or inverse-fused, Communications in Algebra, 25: pp 3081-3118 (1997)

Li, C.H. On self-complementary vertex-transitive graphs, Communications in Algebra, 25: pp 3903-3908 (1997)

Li, C.H. On finite groups with the Cayley invariant property, Bulletin of the Australian Mathematical Society, 56: pp 253-261 (1997)

Li, C.H. Isomorphisms of finite Cayley graphs, Bulletin of the Australian Mathematical Society, 56: pp 169-172 (1997)

Li, C.H. The cyclic groups with the m-DCI property, European Journal of Combinatorics, 18: pp 655-665 (1997)

Longstaff, W.E. and Panaia, O. On the ranks of single elements of reflexive operator algebras, Proceedings of the American Mathematical Society, 125:10, pp 2875-2882 (1997)

Noakes, L. and Kaya, C.Y. Closed trajectories and global controllability in the plane, Institute for Mathematics and Applications Journal of Mathematical Control and Information, 14:4, pp 353-369 (1997)

O'Keefe, C.M. and Penttila, T. Ovals in translation hyperovals and ovoids, European Journal of Combinatorics, 18: pp 667-683 (1997)

Pakes, A.G. and Stefanov, V.T. Explicit distributional results in pattern formation, Annals of Applied Probability, 7: pp 666-678 (1997)

Pakes, A.G. Killing and resurrection of Markov processes, Communications in Statistics : Stochastic Models, 13: pp 255-269 (1997)

Pakes, A.G. Characterization of laws by invariance under length-biasing and random scaling, Journal of Statistical Planning and Inference, 63: pp 285-310 (1997)

Pakes, A.G. and Steutel, F.W. On the number of records near the maximum, Australian Journal of Statistics, 39: pp 179-192 (1997)

Paskota, M., Mees, A.I. and Teo, K.L. Directing orbits of chaotic systems in the presence of noise: feedback correction, Dynamics and Control, 7: pp 25-47 (1997)

Penttila, T. and praeger, C. Ovoids and translation ovals, The Journal of the LondonMathematical Society. Series 2, 56:3, pp 607-624 (1997)

Praeger, C.E. Movement and spearation of subset sof points under group actions, Journal of the London Mathematical Society, 56:2, pp 519-528 (1997)

Prager, C.E. and Perkel, M. Polygonal graphs: new families and an approach to their analysis, Congressus Numerantium, 124: pp 161-173 (1997)

Stefanov, V.T. and Yeo, G.F. Explicit asymptotic results for open times in ion channel models, Advances in Applied Probability, 29:4, pp 947-964 (1997)

Stoyanov, L. On the scattering length spectrum, Comptes Rendus de l'Academie des Sciences, Serie 1, 325: pp 1169-1174 (1997)

Sullivan, R.P. Nilpotents in semigroups of partial transformations, Bulletin of the Australian Mathematical Society, 55: pp 453-467 (1997)

Teo, K.L. and Yang, X.Q. A root finding approach to continuous minimax optimal control problems, Nonlinear Studies, 4:1, pp 37-52 (1997)

Walker, D.M. and Mees, A.I. Noise reduction of chaotic systems by Kalman filtering and by shadowing, International Journal of Bifurcation and Chaos, 7:3, pp 769-779 (1997)

Wilson, D.L., Baddeley, A.J. and Owens, R.A. A new metric for grey-scale image comparison, International Journal of Computer Vision, 24: pp 5-17 (1997)

Woods, A. Counting finite models, Journal of Symbolic Logic, 62: pp 925-949 (1997)

Woods, A. Coloring rules for finite trees, and probabilities of monadic second order sentences, Random Structures & Algorithms, 10: pp 453-485 (1997)

Yang, X.Q. and Goh, C.J. A method for convex curve approximation, European Journal of Operational Research, 97: pp 205-212 (1997)

Yang, X.Q. and Goh, C.J. On vector variational inequalities: application to vector equilibria, Journal of Optimization Theory and Applications, 95:2, pp 431-443 (1997)

Yang, X.Q. and Jeyakumar, V. First and second-order optimality conditions for a convex composite multi-objective optimization, Journal of Optimization Theory and Applications, 95:1, pp 209-224 (1997)

Yang, X.Q. Vector variational inequality and vector pseudolinear optimization, Journal of Optimization Theory and Applications, 95:3, pp 729-734 (1997)

Zhang, Y., Togneri, R. and Alder, M.D. Phoneme-based vector quantization in a discrete HMM speech recognizer, IEEE Transactions on Speech and Audio Processing, 5:1, pp 26-32 (1997)

Conference Publications

Alder, M.D. Lie group transformations of objects in images, 13th International Conference on Digital Signal Processing (DSP97), Piscataway, New Jersey, Institute of Electrical and Electronic Engineers (IEEE), 2: pp 539-542 (1997)

Allie, S.P. and Mees, A.I. Cycles from short times series, Applied Nonlinear Dynamics and Stochastic Systems Near the Millenium, Woodbury, New York, American Institute of Physics, pp 47-50 (1997)

Allingham, D., West, M. and Mees, A.I. Optimised wavelet modelling of nonlinear dynamics, 1997 International Symposium on Nonlinear Theory and its Applications, Japan, Research Society of Nonlinear Theory and its Applications (IEICE), 2: pp 1145-1148 (1997)

Baddeley, A.J. and Molchanov, I.S. On the expected measure of a random set, International Symposium on Advances in the Theory and Applications of Random Sets, Singapore, World Scientific, pp 3-20 (1997)

Cao, L.Y. Extraction of dynamics from non-stationary time series data, Applied Nonlinear Dynamics and Stochastic Systems Near the Millenium, Woodbury, New York, American Institute of Physics, 1: pp 69-74 (1997)

Froyland, G. Computing physical invariant measures, 1997 International Symposium on Nonlinear Theory and its Applications, Japan, Research Society of Nonlinear Theory and its Applications (IEICE), 2: pp 1129-1132 (1997)

Hazelton, M.L. and Polak, J.W. Modelling traveller learning in stochastic traffic assignment, 8th IFAC/IFIP/IFORS Symposium on Transportation Systems, Amsterdam, Netherlands, Elsevier Science B.V., 2: pp 646-651 (1997)

Hutchens, J.L. and Alder, M.D. Language acquisition and data compression, 1997 Australasian Natural Language Processing Summer Workshop, Sydney, New South Wales, Workshop Program Committee, pp 39-49 (1997)

Jennings, L.S. and Teo, K.L. Computation of manufacturing systems using an enhancing control, Australasian Pacific Forum on Intelligent Processing and Manufacturing of Materials (IPMM'97), Brisbane, Queensland, IPMM'97 Organising Committee, 1: pp 643-649 (1997)

Jennings, L.S., Sethi, S.P. and Teo, K.L. Computation of optimal production plans for manufacturing systems, Second World Congress of Nonlinear Analysts, Exeter, United Kingdom, Pergamon Press, 30: pp 4329-4338 (1997)

Keady, G., Cetinkaya, C. and Triulzi, A. Mathematica, packs for mechanical engineers and the elastic torsion problem, Second Asian Technology Conference in Mathematics, Penang, Malaysia, Universiti Sains Malaysia, 1: pp 278-297 (1997)

Lewis, T., Owens, R. and Baddeley, A.J. Averaging aircraft runway approach paths, Pan-Sydney Area Workshop on Visual Information Processing, Sydney, Australia, VIP '97 Organising Committee, pp 78-82 (1997)

Noakes, L. Riemannian quadratics, Third International Conference on Curves and Surfaces, Nashville, Tennessee, Vanderbilt University Press, 1: pp 319-328 (1997)

Noakes, L. and Kaya, C.Y. Nonlinear systems of equations and small-time switching control, Control 97, Sydney, New South Wales, International Convention Management Services Propriety Limited, pp 312-317 (1997)

Noakes, L. and Kaya, C.Y. Geodesics and an optimal control algorithm, 36th IEEE Conference on Decision and Control, San Diego, California, Institute of Electrical and Electronic Engineers (IEEE), pp 4918-4919 (1997)

O'Keefe, C.M. and Penttila, T. Elation generalized quadrangles of order (q2, q), First Pythagorean Conference on Geometry, Combinatorial Designs and Related Structures, Cambridge, United Kingdom, Cambridge University Press, 245: pp 181-192 (1997)

Pakes, A.G. On the recognition and structure of probability generating functions, Classical and Modern Branching Processes, New York, USA, Springer-Verlag, 84: pp 263-284 (1997)

Pakes, A.G. Branching processes and migration, 51st Session of the International Statistical Institute, Voorburg, Netherlands, International Statistical Institute, 72:1, pp 173-176 (1997)

Praeger, C.E. and Niemeyer, A. Implementing a recognition algorithm for classical groups, DIMACS series in Discrete Mathematics and Theoretical Computer Science, Providence, Rhode Island, American Mathematical Society, 28: pp 273-296 (1997)

Small, M. and Judd, K. Using surrogate data to test for nonlinearity in experimental data, 1997 International Symposium on Nonlinear Theory and its Applications, Japan, Research Society of Nonlinear Theory and its Applications (IEICE), 2: pp 1133-1136 (1997)

Weber, R.O., White, L.R. and Fowkes, N.D. Modelling an inverted belt filter, 1997 Mathematics-in-Industry Study Group, Adelaide, South Australia, Mathematics-in-Industry Study Group, pp 91-107 (1997)

Woods, A. Approximating the structures accepted by a constant depth circuit or satisfying a sentence - a nonstandard approach, Logic and Random Structures, Providence, Rhode Island, American Mathematical Society, 33: pp 109-130 (1997)

Yang, X.Q. and Goh, C.J. Analytic efficient solution set for bi-criteria guadratic network programs, Second World Congress of Nonlinear Anlysts, Exeter, United Kingdon, Pergamon Press, 30: pp 4309-4316 (1997)

Yang, X.Q. and Goh, C.J. Analytic efficient solution set for bi-criteria quadratic network programs, Second World Congress of Nonlinear Analysts, Exeter, United Kingdom, Pergamon Press, 30: pp 4309-4316 (1997)

Others

Baddeley, A.J., Kerscher, M., Schladitz, K. and Scott, B.T. Estimating the J function without edge correction, :1997/25, pp 1-11, Perth, Western Australia (1997)

Chia, L.C.J. and Baddeley, A.J. Estimating a Ration From Bivariate Count Data in Stereology, :1997/19, pp 1-25, Perth, Western Australia(1997)

Chin, Y.C. and Baddeley, A.J. On connected component Markov point processes, :1997/18, pp 1-4, Perth, Western Australia(1997)

Goldie, C.M. and Maller, R.A. Stability of Perpuities, :1997/10, pp 1-26, Perth, Western Australia (1997)

Guralnick, R., Penttila, T., Praeger, C.E. and Saxl, J. Linear groups with orders having certain large prime divisors, :1997/6, pp 1-66, Perth, Western Australia (1997)

Hartley, M.I. All Polytopes are Quotients, and Isomorphic Polytopes are Quotients by Conjugate Subgroups, :1997/14, pp 1-11, Perth, Western Australia (1997)

Hew, P.C. and Alder, M.D. Recognition of Printed Digits using Zernike or Orthogonal Fourier-Mellon Moments, :1997/16, pp 1-11, Perth, Western Australia (1997)

Hill, D. A study of the unsteady injection moulding process, :1997/4, pp 1-29, Perth, Western Australia(1997)

Jennings, L.S., Teo, K.L., Fisher, M.E. and Goh, C.J. MISER3 version 2 Constrained optimal control software, 2, Perth, Western Australia (1997)

Kesten, H. and Maller, R.A. Random walks crossing high level curved boundaries, :1997/1, pp 1-33, Perth, Western Australia (1997)

Kesten, H. and Maller, R.A. Random walks crossing power law boundaries, :1997/15, pp 1-29, Perth, Western Australia (1997)

Lewis, T., Owens, R. and Baddeley, A.J. Averaging Line Images, :1997/26, pp 1-21, Perth, Western Australia(1997)

Li, C.H., Praeger, C.E. and Xu, M.Y. Isomorphisms of Finite Cayley Digraphs of Bounded Valency, :1997/30, pp 1-19, Perth, Western Australia(1997)

Li, Y. and Pakes, A.G. On the Number of Near-Records After the Maximum Observation in a Continuous Sample, :1997/23, pp 1-14, Perth, Western Australia (1997)

Longstaff, W.E. and Panaia, O. On complementary subspaces of Hilbert space, :1997/9, pp 1-7, Perth, Western Australia (1997)

McLaughlin, R.A. and Alder, M.D. The Hough Transform versus the UpWrite, :TR97-02, pp 1-31, Perth, Western Australia (1997)

Pakes, A.G. Extreme order statistics on Galton-Watson trees, :1997/3, pp 1-15, Perth, Western Australia(1997)

Pakes, A.G. Revisiting Conditional Limit Theorems for the Mortal SImple Branching Process, :1997/11, pp 1-30, Perth, Western Australia (1997)

Pakes, A.G. Mixture representations for symmetric generalised Linnik laws, :1997/8, pp 1-10, Perth, Western Australia(1997)

Pakes, A.G. A limit theorem for the maxima of the para-critical simple branching process, :1997/2, pp 1-21, Perth, Western Australia(1997)

Penttila, T. and Williams, B. Regular packings of PG(3,q), :1997/31, pp 1-11, Perth, Western Australia (1997)

Penttila, T. and Williams, B. Ovoids of parabolic spaces, :1997/32, pp 1-21, Perth, Western Australia (1997)

Praeger, C.E. Finite transitive permutation groups and finite vertex-transitive graphs, :1997/5, pp 1-50, Perth, Western Australia (1997)

Praeger, C.E. Primitive prime divisor elements in finite classical groups, :1997/28, pp 1-21, Perth, Western Australia(1997)

Savicky, P. and Woods, A.R. The number of Boolean functions computed by formulas of a given size, :1997/21, pp 1-43, Perth, Western Australia(1997)

Schladitz, K. and Baddeley, A.J. A third order point process characteristic, :1997/20, pp 1-16, Perth, Western Australia (1997)

Schladitz, K. Surprising optimal estimators for the area fraction, :1997/24, pp 1-9, Perth, Western Australia(1997)

Schultz, P. Automorphisms which determine an Abelian p-group, :1997/13, pp 1-6, Perth, Western Australia(1997)

Stefanov, V.T. On Runs Statistics, :1997/7, pp 1-12, Perth, Western Australia (1997)

Stefanov, V.T. On the Occurrence of Composite Events and Clusters of Points, :1997/27, pp 1-26, Perth, Western Australia(1997)

Stoyanov, L. Rigidity of the Scattering Length Spectrum II, :1997/33, pp 1-19, Perth, Western Australia(1997)

Van Lieshout, M.N.M. and Baddeley, A.J. Indices of dependence between types in multivariate point patterns, :1997/17, pp 1-27, Perth, Western Australia (1997)

Vijayan, K. and Shah, K.R. Optimal 12 Run Designs, :1997/12, pp 1-27, Perth, Western Australia (1997)

Williams, P.S. and Alder, M. Image Segmentation using and UpWrite, :TR97-03, pp 1-15, Perth, Western Australia (1997)

Williams, P.S. and Alder, M. Technical paper on measuring local change for image segmentation. Number 1., :TR97-04, pp 1-14, Perth, Western Australia (1997)

Williams, P.S. and Alder, M. Detection, Representation and Classification of Anomalies in Homogeneous Images, :TR97-07, pp 1-15, Perth, Western Australia (1997)