* Ergodic theory of equivariant diffeomorphisms*
M. Field and M. Nicol, * Memoirs of American Mathematical Society, Vol 169, Number 803, (2004).*

* Ergodic Theory: Basic Examples and Constructions*
M. Nicol and K. Petersen, * a chapter in the Encyclopedia of Complexity and System Science [709] (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, * Wiley (2016) 312 pages.
*

* Stochastic stability of Bernoulli toral linked twist maps of finite and infinite entropy, *
M. Nicol, * Ergod. Th. Dynam. Sys.* **16** (1996) 493-518.

* A Bernoulli toral linked twist map without positive Lyapunov exponents, *
M. Nicol, * Proc. Amer. Math. Soc.* **124**, 4, (1996), 1253-1263.

* Induced maps of Bernoulli dynamical systems, *
M. Nicol, * Discrete and Continuous Dynamical Systems * **7** No. 1 (2001), 147-154.

* Measurable cocycle rigidity for some noncompact groups, *
M. Nicol and M. Pollicott, * Bull. London. Math. Soc. * **31** (1999), 592-600.

* Livsic's Theorem for Semisimple Lie groups, *
M. Nicol and M. Pollicott, * Erg. Th. Dyn. Sys. * **21** (2001) 1501-1509.

* Euclidean extensions of Dynamical Systems, *
M. Nicol, I. Melbourne and P. Ashwin, *Nonlinearity *,Vol 14, 275-300, (2001)

* Regularity of invariant graphs over hyperbolic systems, *
D. Hadjiloucas, M. Nicol and C. Walkden, * Erg. Th. Dyn. Sys.* **22** (2002), 469-482

* On the fine structure of stationary measures in systems which contract-on-average, *
M. Nicol, N. Sidorov and D. Broomhead, * Journal of Theoretical Probability*
**15-3** (2002), 715-730.

* Stable transitivity of Euclidean group extensions, *
I. Melbourne and M. Nicol, * Erg. Thy. Dyn. Sys.* **23** (2003), no. 2, 611-619.

* Livsic Theorems for group extensions of hyperbolic systems with singularities * M. Nicol and A. Scott, * Erg. Thy. Dyn. Sys. * **23** (2003), no. 6, 1867-1889.

* Statistical properties of endomorphisms and compact group extensions *
I. Melbourne and M. Nicol, * Proceedings of the LMS * ** (2) 70** (2004) 427-446

* Random iteration of Euclidean isometries *
M. Adahl, I. Melbourne and M. Nicol, * Nonlinearity * **16** (2003) no.3, 977-987.

* Statistical properties of compact group extensions
of hyperbolic flows and their time-one maps *
M. Field, I. Melbourne, M. Nicol and A. Torok, * Discrete and Continuous Dynamical Systems * ** 12-1 **
(2005), 79-96.

* Statistical limit laws for equivariant observations *
I. Melbourne and M. Nicol, * Stochastics and Dynamics * **4** (2004), 1-13.

* Livsic regularity for Markov systems *
H. Bruin, M. Holland and M. Nicol, * Ergodic Theory and Dynamical Systems * ** 25** (2005), 1739-1765.

* Almost sure invariance principle for nonuniformly hyperbolic systems *
I. Melbourne and M. Nicol, * Communications in Mathematical Physics * ** 260** (2005), 131-146.

* Whitney regularity for solutions to the coboundary equation on Cantor sets *
M. Nicol and A. Torok * Mathematical Physics Electronic Journal * ** 13 ** ** 2007**

* A vector-valued almost sure invariance principle for hyperbolic dynamical systems *
I. Melbourne and M. Nicol, * Annals of Probability * ** 37** (2009), 478-505.

* Large deviations for nonuniformly hyperbolic systems *
I. Melbourne and M. Nicol, * Trans AMS * ** 360 ** (2008), 6661-6676

* Extreme value distributions for non-uniformly expanding systems *
M. Holland, M. Nicol and A. Torok * Transactions AMS * **364** (2012), 661-688.

*
On Young Towers associated with infinite
measure preserving transformations *
H. Bruin, M. Nicol and D. Terhesiu * Stochastics and
Dynamics * **9 no. 4**
(2009) 635-655.

*
Extreme value theory and return time statistics for dispersing
billiard maps and flows, Lozi maps and Lorenz-like maps. *
C. Gupta, M. Holland and M. Nicol * Ergodic Theory and
Dynamical Systems * ** 31-5 ** (2011) 1361--1390

* A
Borel-Cantelli lemma for non-uniformly expanding dynamical
systems * C. Gupta, M. Nicol and W. Ott *
Nonlinearity * ** 23-8** (2010) 1991-2008.

*
Smooth Livsic regularity for piecewise expanding maps * M. Nicol
and T. Persson, * Proc AMS * ** 140 no.3 ** (2012) 905-914.

*
A note on Borel-Cantelli lemmas for
non-uniformly hyperbolic dynamical
systems* N. Haydn, M. Nicol, T. Persson
and S. Vaienti* Ergodic Theory and Dynamical Systems * ** 33 no.2** (2013) 475-498.

*
Erdös-Rényi limit laws for hyperbolic dynamical systems* M. Denker and M. Nicol* Journal LMS *
** 87 (2)** (2013) 497-508

* Central limit theorems for the shrinking target problem*
N. Haydn, M. Nicol, S. Vaienti and L.Zhang* Journal of Statistical Physics (2013) 153: 864-887
* ** **

* Convergence of rare events point processes to the Poisson for billiards*
N. Haydn, J. Freitas and M. Nicol* Nonlinearity, 27, (2014) 1669-1687 * ** **

* Speed of convergence to an extreme value distribution for a non-uniformly hyperbolic dynamical system *
M.Holland and M. Nicol* Stochastics and Dynamics, 15, no. 4, 1550028, 23 pages
(2015)* ** **

* Annealed and quenced limit theorems for random expanding dynamical systems *
R. Aimino, M. Nicol and S. Vaienti* Probability Theory and Related Fields, 162 (1), 233-274, (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* Discrete and Continuous Dynamical Systems, A, 35, 3, 793-806, (2015) * ** **

* Extremal dichotomy for hyperbolic toral automorphisms *
M. Carvalho, A. C. M. Freitas, J. M. Freitas, M. Holland and M. Nicol. * Dynamical Systems: An International Journal Volume 30, No. 4, 383-403, (2015).* ** **

* Almost sure invariance principles for sequential and non-stationary dynamical systems *
N. Haydn, M. Nicol, A. Torok and S. Vaienti* Transactions of the AMS, 369 , 5293-5316, (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* Annales de l'Institut Henri Poincarè Serie (B) Probabilitès et Statistiques, 53 (3), 1371-1401, (2017) * ** **

* Almost sure convergence of maxima for chaotic dynamical systems'' *
M. Holland, M. Nicol and A. Torok * Stochastic Processes and their Applications, 126, no. 10, 3145-3170, (2016) * ** **

* Central limit theorems for sequential and random intermittent dynamical systems *
M. Nicol, A. Torok and S. Vaienti* Ergodic Theory and Dynamical Systems, 38, no. 3, 1127-1153, (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* Nonlinearity, 30, no. 7, 2854-2870, (2017) * ** **

Compound Poisson law for hitting times to periodic orbits in two-dimensional hyperbolic systems.
M. Carney, M. Nicol and H. K. Zhang* Journal of Statistical Physics, 169, no. 4, 804-823, (2017) * ** **

Large-deviation probabilities for correlated Gaussian processes and intermittent dynamical systems.
M. Massah, M. Nicol and H. Kantz* Physical Review E, 97, no. 5, 052147, (2018) * ** **

A note on large deviations for unbounded observables.
M. Nicol and A. Torok* Stochastics and Dynamics, 20 (2020), no. 5, 2050030, 21 pp. * ** **

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* Nonlinearity 33 (2020), no. 8, 4095–4113. * ** **

Large deviations and central limit theorems for sequential and
random systems of intermittent maps.
M. Nicol, F. Pereira and M. Torok* to appear Ergodic Theory and Dynamical Systems * ** **

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

Symmetry detectives for SBR attractors,
M. Golubitsky and M. Nicol, * Nonlinearity* **8** (1995) 1027-1037.

Symmetry of attractors and the Karhunen-Loeve decomposition,
M. Dellnitz, M. Golubitsky and M. Nicol, In: * Trends and Perspectives in Applied Mathematics* (L. Sirovich, ed.)
* Appl. Math. Sci.* **100**, Springer-Verlag, New York, 1994, 73-108.

A note on symmetries of invariant sets with compact group actions,
M. Field, M. Golubitsky and M. Nicol, In: * Equadiff 8*.
Tatra Mountains Math. Publ. **4** (1994) 93-104.

Symmetries of periodic solutions for planar potential systems,
M. Golubitsky, J.-M. Mao and M. Nicol, . * Proc. Amer. Math. Soc. * **124** (1996) 3219-3228.

Symmetric attractors for diffeomorphisms and flows,
M. J. Field, I. Melbourne and M. Nicol, *Proc. London Math. Soc.*, ** 72** (1996) 657-696.

Symmetries of the asymptotic dynamics of random compositions of equivariant maps,
M. Nicol, *Nonlinearity*, ** 9 ** (1996) 225-235.

Detection of symmetry of attractors from observations- theory,
P. Ashwin and M. Nicol, *Physica D*, ** 100** (1997) 58-70.

On symmetric omega-limit sets in reversible flows,
J. S. W. Lamb and M. Nicol, *Nonlinear Dynamical Systems and Chaos*, H. W. Broer, S. A. van Gils, I. Hoveijn, F. Takens (eds),
Progress in Nonlinear Partial Differential Equations and Applications, Birkhauser, (1995).

On symmetric attractors in reversible dynamical systems,
J. S. W. Lamb and and M. Nicol, *Physica D*, ** 112** No. 1-2, (1998) 281-297 (1998).

Drift bifurcations of relative equilibria and transitions of spiral waves,
P. Ashwin, I. Melbourne and M. Nicol, *Nonlinearity*, Vol 12, 741-755, (1999)

Hypermeander of Spirals; Local Bifurcations and Statistical Properties,
P. Ashwin, I. Melbourne and M. Nicol, *Physica D *, ** 156 ** (2001) 364-382.

Drift for Euclidean extensions of dynamical systems
P. Ashwin, I. Melbourne and M. Nicol, *Equadiff 99, International conference on dynamical systems (B. Fiedler et al eds) *,
** ** World Scientific, Singapore, 2000, 145-150.

Random and deterministic perturbation of a class of skew products,
D. Hadjiloucas, D. S. Broomhead and M. Nicol, * Dynamics and Stability of Systems * ** 14** No. 2, (1999) 115-128.

On the unfolding of a blowout bifurcation,
P. Ashwin, P. Aston and M. Nicol, * Physica D.* **111** (1998), 81-95.

Acceleration of one-dimensional mixing by permutation,
P. Ashwin, M. Nicol and N. Kirby, * Physica A * **310** (2002), 347-362

On the nature of Benford's Law,
G. Gottwald and M. Nicol, * Physica A* ** 303** (2002), 387-396.

Piecewise isometries of Euclidean Spaces,
M. Mendes and M. Nicol, * I. J. Bifurcation and Chaos 14(7): 2353-2361 (2004) * ** **

Some Curious Phenomena in Coupled Cell Networks
M. Golubitsky, M. Nicol and I. Stewart, * Journal of Nonlinear Science * **14 ** (2004), 207-236.

Variable Step Random Walks and Self-Similar Distributions
G. Gunaratne, J. McCauley, Matthew Nicol and A. Torok, * Journal of Statistical Physics* ** 121 No. 5-6 ** (2005), 887-899.

Generation of multi-scroll attractors without equilibria via piecewise linear systems.
R. Escalante- Gonzalez, E. Campós-Canton and M. Nicol* Chaos, 27, no. 5, 053109, 8 pp., (2017) * ** **

Itinerary synchronization between PWL systems coupled with unidirectional links.
A. Anzo-Hernandez, E. Campós-Canton and M. Nicol* Commun. Nonlinear Sci. Numer. Simul., 70, 102-124, (2019) * ** **

Non-stationarity of summer temperature extremes in Texas.
R. Azencott, M. Carney and M. Nicol* International Journal of Climatology. Vol. 40, Issue 1, 620-640, (2020). * ** **

Analysis and simulation of extremes and rare events in complex systems.
M. Carney, H. Kantz and M. Nicol* Advances in dynamics, optimization and computation. Studies in systems, decision and control. Springer (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, * International Journal of Oral and Maxillofacial Surgery * ** Vol. 44, Issue 12, p1441-1450 ** December 2015.

The primal sagittal plane of the head: a new concept. J. Gateno, A. Jajoo, M. Nicol, J.J. Xia.
* International Journal of Oral and Maxillofacial Surgery * ** Accepted and published online: ** December 18 2015.