Select Publications
Journal articles
2000, 'Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 10, pp. 103 - 122, http://dx.doi.org/10.1142/S0218127400000062
,1999, 'Ulam's method for random interval maps', Nonlinearity, 12, pp. 1029 - 1052, http://dx.doi.org/10.1088/0951-7715/12/4/318
,1999, 'Using Ulam's method to calculate entropy and other dynamical invariants', Nonlinearity, 12, pp. 79 - 101, http://dx.doi.org/10.1088/0951-7715/12/1/006
,1998, 'Approximating physical invariant measures of mixing dynamical systems in higher dimensions', Nonlinear Analysis, Theory, Methods and Applications, 32, pp. 831 - 860, http://dx.doi.org/10.1016/S0362-546X(97)00527-0
,1998, 'Determining the minimum embedding dimensions of input-output time series data', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 8, pp. 1491 - 1504, http://dx.doi.org/10.1142/S0218127498001145
,1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 56, pp. 157 - 159, http://dx.doi.org/10.1017/S0004972700030823
,1997, 'Computer-assisted bounds for the rate of decay of correlations', Communications in Mathematical Physics, 189, pp. 237 - 257, http://dx.doi.org/10.1007/s002200050198
,1997, 'Estimating physical invariant measures and space averages of dynamical systems indicators', Bulletin of the Australian Mathematical Society, 56, pp. 157 - 159, http://dx.doi.org/10.1017/s0004972700030823
,1995, 'Finite approximation of Sinai-Bowen-Ruelle measures for Anosov systems in two dimensions', Random & Computational Dynamics, 3, pp. 251 - 264
,1995, 'CONSTRUCTING INVARIANT-MEASURES FROM DATA', INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 5, pp. 1181 - 1192, http://dx.doi.org/10.1142/S0218127495000843
,1995, 'Estimation of Lyapunov exponents of dynamical systems using a spatial average', Physical Review E, 51, pp. 2844 - 2855, http://dx.doi.org/10.1103/PhysRevE.51.2844
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