Books.

  1. V. Lucarini, D. Faranda, A.C. Freitas, J.M. Freitas, M. P. Holland, T. Kuna, M. Nicol, S. Vaienti. Extremes and Recurrence in Dynamical Systems. Pure and Applied Mathematics: A Wiley Series of Texts, Monographs, and Tracts, 2016, pp312.

Articles in ergodic theory and dynamical systems.

  1. M. P. Holland, M. Todd. Weak convergence to extremal processes and record events for non-uniformly hyperbolic dynamical systems. Preprint 2016. PDF on Arxiv.

  2. M. P. Holland, P. Rabassa, A. E. Sterk. Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems. Nonlinearity, 29, (2016). PDF on Arxiv.

  3. M. P. Holland, M. Nicol and A. Torok. Almost sure convergence of maxima for chaotic dynamical systems.Stochastic Processes and their Applications, 126, (10), (2016), 3145-3170. PDF on Arxiv.

  4. M. Carvalho, A. C. M. Freitas, J. M. Freitas, M. Holland, M. Nicol, Extremal dichotomy for toral automorphisms. Dynamical Systems: An International Journal 30, (4), (2015), 383-403. PDF on Arxiv.

  5. M. Holland, M. Nicol, Speed of convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems. Stoch. Dyn. 15, (2015), 1550028.

  6. M. P. Holland, Y. Zhang. Dimension results for inhomogeneous Moran set constructions. Dynamical Systems, 28 (2), (2013), 222-250.

  7. N. P.Byott, M. P. Holland, Y. Zhang. On the mixing properties of piecewise expanding maps under composition with permutations. Discrete Contin. Dyn. Syst. 33 (2013), no. 8, 3365–3390.

  8. M. P. Holland, R. Vitolo, P. Rabassa, A. E. Sterk, Henk W. Broer. Extreme value laws in dynamical systems under physical observables. Physica D: Nonlinear Phenomena, 241 (2012), 497-513.

  9. C. Gupta, M. P. Holland, and M. Nicol. Extreme value theory for dispersing billiards, Lozi maps and Lorenz maps. In Ergodic Theory and Dynamical Systems (2011). PDF file here.

  10. M. P. Holland, M. Nicol and A. Torok. Extreme value theory for non-uniformly expanding dynamical systems. In Transactions of the Amercian Mathematics Society (2012). PDF file here.

  11. Central limit theorems and invariance principles for Lorenz attractors. (Joint with I. Melbourne). J. Lond. Math. Soc. (2) 76 (2007), no. 2, 345--364. PDF file here.

  12. Statistical properties of one-dimensional maps with critical points and singularities, (joint with K. Diaz-Ordaz and S. Luzzatto). Stoch. Dyn. 6 (2006), no. 4, 423--458. PDF file here.

  13. Stable manifolds under very weak hyperbolicity conditions, (joint with S. Luzzatto). J. Differential Equations 221 (2006), no. 2, 444--469. PDF file here.

  14. A new proof of the Stable Manifold Theorem for hyperbolic fixed points on surfaces, (joint with S. Luzzatto). Journal of Difference Equations and Applications, Vol 11, No. 6, May 2005, 535-551. PDF file here.

  15. Livsic regularity for Markov systems, (joint with H. Bruin and M. Nicol). In Ergodic Theory and Dynamical Systems. 2005, 25, 1739-1765. PDF file here.

  16. Slowly mixing systems and intermittency maps. In Ergodic Theory and Dynamical Systems, 2005, 25, 133-159. PDF file here.

  17. Physical measures for chaotic dynamical systems and decay of correlations. PhD thesis, University of Warwick, 2001.

Articles in extremes and weather modelling.

  1. A. Huntera, D. B. Stephensona, T. Economoua, M. Holland, I. Cook, New perspectives on the aggregated risk of extratropical cyclones, Quart. J. of Royal Met. Soc. 142, (694), (2016).

  2. A. E. Sterk, D. B. Stephenson, M. P. Holland, K. R. Mylne, On the predictability of extremes: does the butterfly effect ever decrease? Quart. J. of Royal Met. Soc. 142, (694), (2016).

  3. Authors: A. E. Sterk, M. P. Holland, P. Rabassa, H. W. Broer, R. Vitolo. Predictability of extreme values in geophysical models. Nonlinear Processes in Geophysics, volume 19, pp. 529-539, 2012.

  4. R. Vitolo, M. P. Holland, and C. A. T. Ferro. Robust extremes in chaotic deterministic systems. Chaos. 19, (2009), 043127.

Articles in statistical analysis of long memory processes.

  1. Frequency Analysis of Chaotic Intermittency Maps with Slowly Decaying Correlations (joint with R. J. Bhansali). Statist. Sinica 17 (2007), no. 1, 15--41. PDF file here.

  2. Intermittency, long-memory and financial returns, (joint with R. J. Bhansali and P. S. Kokoszka). Long memory in economics, 39--68, Springer, Berlin, 2007. PDF file here.

  3. Chaotic Maps with Slowly Decaying Correlations and Intermittency, (joint with R. J. Bhansali and P. S. Kokoszka). In Fields Inst. Comm. 44, 2004, 99-126. PDF file here.