Publications

Ergodic theory of equivariant diffeomorphisms M. Field and M. Nicol (2004)

Ergodic Theory: Basic Examples and Constructions M. Nicol and K. Petersen (2009)

Extremes and Recurrence in Dynamical Systems V. Lucarini, D. Faranda, A. C. M. Freitas, J. M. Freitas, T. Kuna, M. Holland, M. Nicol, M. Todd and S. Vaienti, (2016)

Stochastic stability of Bernoulli toral linked twist maps of finite and infinite entropy., M. Nicol. (1996)

A Bernoulli toral linked twist map without positive Lyapunov exponents, M. Nicol. (1996)

Induced maps of Bernoulli dynamical systems, M. Nicol. (2001)

Measurable cocycle rigidity for some noncompact groups.,  M. Nicol and M. Pollicott. (1999)

Livsic's Theorem for Semisimple Lie groups.M. Nicol and M. Pollicott. (2001)

Euclidean extensions of Dynamical Systems., M. Nicol, I. Melbourne and P. Ashwin. (2001)

Regularity of invariant graphs over hyperbolic systems., D. Hadjiloucas, M. Nicol and C. Walkden. (2002)

On the fine structure of stationary measures in systems which contract-on-average.,  M. Nicol, N. Sidorov and D. Broomhead. (2002)

Stable transitivity of Euclidean group extensions, I. Melbourne and M. Nicol. (2003)

Livsic Theorems for  group extensions of hyperbolic systems with  singularities, M. Nicol and A. Scott. (2003)

Statistical properties of endomorphisms and  compact group extensions, I. Melbourne and M. Nicol. (2004)

Random iteration of Euclidean isometries,  M. Adahl, I. Melbourne and M. Nicol. (2003)

Statistical properties of compact group  extensions of hyperbolic flows and their time-one maps, M. Field, I. Melbourne, M. Nicol and A. Torok. (2005)

Statistical limit laws for equivariant observations, I. Melbourne and M. Nicol. (2004)

Livsic regularity for Markov systems H. Bruin, M. Holland and   M. Nicol (2005)

Almost sure invariance principle for  nonuniformly hyperbolic systems, I. Melbourne and   M. Nicol. (2005)

Whitney regularity for solutions to the  coboundary equation on Cantor sets, M. Nicol and A. Torok.(2007)

A vector-valued almost sure  invariance principle for hyperbolic dynamical systems,  I. Melbourne and   M. Nicol. (2009)

Large deviations for nonuniformly hyperbolic systems, I. Melbourne and   M. Nicol. (2008)

Extreme value distributions for non-uniformly expanding systems,  M. Holland, M. Nicol and A. Torok. (2012)

On Young Towers associated with infinite measure preserving transformations, H. Bruin, M. Nicol and D. Terhesiu. (2009)

Extreme value theory  and return time statistics for  dispersing billiard maps and flows, Lozi maps and Lorenz-like map, C. Gupta, M. Holland and M. Nicol. (2011)

A Borel-Cantelli lemma for non-uniformly expanding dynamical systems, C. Gupta, M. Nicol  and   W. Ott. (2010)

Smooth Livsic regularity for piecewise expanding maps, M. Nicol and T. Persson. (2012)

A note on Borel-Cantelli lemmas for non-uniformly hyperbolic dynamical systems, N. Haydn, M. Nicol, T. Persson and S. Vaienti. (2013)

Erdos Renyi laws for dynamical systems M. Denker and  M. Nicol (2013)

Central limit theorems for the shrinking target problem, N. Haydn, M. Nicol, S. Vaienti and L.Zhang. (2013)

Convergence of rare events point processes to  the Poisson for billiards,  N. Haydn, J. Freitas and M. Nicol. (2014)

Speed of convergence to an extreme value distribution for a non-uniformly hyperbolic dynamical system,  M.Holland and M. Nicol. (2015)

Annealed and quenced limit theorems for random expanding dynamical systems, R. Aimino,  M. Nicol and S. Vaienti. (2015)

Polynomial loss of memory for maps of the interval with a neutral fixed point, R. Aimino,  H.Hu, M. Nicol, A. Torok  and S. Vaienti. (2015)

Extremal dichotomy for hyperbolic toral automorphisms, M. Carvalho, A. C. M. Freitas, J. M. Freitas, M. Holland and M. Nicol. (2015)

Almost sure invariance principles for sequential and non-stationary dynamical systems, N. Haydn,  M. Nicol, A. Torok and S. Vaienti. (2017)

Recurrence statistics for the space of Interval Exchange maps and the Teichmüller flow on the space of translation surfaces, R. Aimino,  M. Nicol and  M. Todd. (2017)

Almost sure convergence of maxima for chaotic dynamical systems, M. Holland, M. Nicol and A. Torok. (2016)

Central limit theorems for sequential and random intermittent dynamical systems, M. Nicol, A. Torok and S. Vaienti. (2018)

Dynamical Borel-Cantelli lemmas and rates of growth of Birkhoff sums of non-integrable observables on chaotic dynamical systems, M. Carney and M. Nicol. (2017)

Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems, M. Carney, M. Nicol and H. K. Zhang. (2017)

Large-deviation probabilities for correlated Gaussian processes and intermittent dynamical systems, M. Massah, M. Nicol and H. Kantz. (2018)

A note on large deviations for unbounded observables,  M. Nicol and A. Torok. (2020)

Martingale approximations and  anisotropic Banach spaces with an application to the time-one map of a Lorentz gas, M. Demers, I. Melbourne and M. Nicol. (2020)

Large deviations and central limit theorems for sequential and random systems of intermittent maps, M. Nicol, F. Pereira and M. Torok. 

Extremes and extremal indices for level set observables on hyperbolic systems, M. Carney, M. Holland and M. Nicol.

Symmetry of attractors and the Karhunen-Loeve decomposition M. Dellnitz, M. Golubitsky and M. Nicol (1994)

A note on symmetries of invariant sets with compact group actions M. Field, M. Golubitsky and M. Nicol (1994)

Symmetry detectives for SBR attractors  M. Golubitsky and M. Nicol (1995)

On symmetric omega-limit sets in reversible flows  J. S. W. Lamb and M. Nicol (1995)

Symmetries of periodic solutions for planar potential systems M. Golubitsky, J.-M. Mao and M. Nicol (1996)

Symmetric attractors for diffeomorphisms and flows  M. J. Field, I. Melbourne and M. Nicol (1996)

Symmetries of the asymptotic dynamics of random compositions of equivariant maps M. Nicol (1996)

Detection of symmetry of attractors from observations- theory  P. Ashwin and M. Nicol (1997)

On symmetric attractors in reversible dynamical systems J. S. W. Lamb and M. Nicol (1998)

Drift bifurcations of relative equilibria and  transitions of spiral waves P. Ashwin, I. Melbourne and M. Nicol (1999)

Hypermeander of Spirals; Local Bifurcations and Statistical Properties P. Ashwin, I. Melbourne and M. Nicol (2001)

Drift for Euclidean extensions of dynamical systems  P. Ashwin, I. Melbourne and M. Nicol (2000)

Random and deterministic perturbation of a class of skew products D. Hadjiloucas, D. S. Broomhead and M. Nicol (1999)

On the unfolding of a blowout bifurcation P. Ashwin, P. Aston and M. Nicol (1998)

Acceleration of one-dimensional mixing by permutation. P. Ashwin, M. Nicol and N. Kirby (2002)

On the nature of Benford's Law G. Gottwald and M. Nicol (2002)

Piecewise isometries of Euclidean Spaces M. Mendes and M. Nicol (2004)

Some Curious Phenomena in Coupled Cell Networks M.Golubitsky,  M. Nicol and I. Stewart (2004)

Variable Step Random Walks and Self-Similar Distributions G. Gunaratne,  J. McCauley,  Matthew Nicol and A. Torok (2005)

Generation of multi-scroll attractors without equilibria via piecewise linear systems G. Gunaratne, J. McCauley, Matthew Nicol and A.Torok (2017)

Itinerary synchronization between PWL systems coupled with unidirectional links. A. Anzo-Hernandez, E. Camp&oacutes-Canton and M. Nicol (2019)

Non-stationarity of  summer temperature extremes in Texas. R. Azencott, M. Carney  and M. Nico (2020)

Analysis and simulation of extremes and rare events in complex systems. M. Carney, H. Kantz  and M. Nicol (2020)

Algorithm for planning a double-jaw orthognathic surgery using computer-aided surgical simulation (CASS) protocol: 2. Three-dimensional cephalometry   J. Xia, J. Gateno, J. F. Teichgraeber, P. Yuan, J. Li, K.-C. Chen, A. Jajoo, M. Nicol, D. M. Alfi (2015)

The primal sagittal plane of the head: a new concept.  J. Gateno, A. Jajoo, M. Nicol, J.J. Xia. (2015)