Some recent mathematical preprints and publications

• M J Field, Symmetry breaking for compact Lie groups, Memoirs of the American Mathematical Society, 574, 1996.
• M J Field, Lectures on Bifurcations, Dynamics and Symmetry, Pitman Research Notes in Mathematics, 356, 1996.
• M J Field, I Melbourne and M Nicol. Symmetric attractors for diffeomorphisms and flows, Proc. London Math. Soc. 72 (1996), 657-696. (PDF file - no figures.)
• M J Field. Symmetry breaking for equivariant maps, In: Algebraic groups and Lie groups, Volume in Honour of R W Richardson, Cambridge University Press, (1997), 219-253. (PDF file)
• M J Field and W Parry, Stable ergodicity of skew extensions by compact Lie groups, Topology 38(1), (1999), 167-187.
• M J Field, Generating sets for compact semisimple Lie groups, Proc. AMS, 127(11) (1999), 3361-3365.
• P Ashwin and M J Field, Heteroclinic networks in coupled cell systems, Arch. Rat. Mech. and Anal., 148 (1999), 107-143. ( PDF)
• M J Field, Heteroclinic cycles in symmetrically coupled systems, Proc. IMA workshop on Pattern Formation in Continuous and Coupled Systems, May 11-18, 1998 (eds Golubitsky, Luss, Strogatz), IMA volumes no 115, Springer-Verlag, 1999, 49-64..
• M J Field, Ergodicity and robustness of symmetric attractors, In: Proc. Equadiff Berlin, 1999 (eds Fiedler, Groger and Sprekels), World Scientific, Vol 1 (2000), p 169-174.
• M J Field and V Nitica, Stable topological transitivity of skew and principal extensions, Nonlinearity 14 (2001), 1055-1070.
• M J Field, I Melbourne and A Torok. Decay of Correlations, Central Limit Theorems and Approximation by Brownian Motion for Compact Lie Group Extensions, Ergodic Theory & Dynamical Systems, 2003. (PDF file of article.)
• M J Field, Persistent Ergodicity and Stably Ergodic SRB Attractors, Bifurcations, Symmetry and Patterns, (Birkhauser Verlag, Basel, 2003), 75-86.
• P Ashwin, M Field, A M Rucklidge and R Struman. Phase resetting effects for robust cycles between chaotic sets, Chaos 13 (2003), 973-981, focus issue on chaotic itineracy.
• M J Field. Combinatorial Dynamics, Dynamical Systems, 19 (2004), 217-243. (PDF file - version of May 25, 2004).
• M J Field and M Nicol, Ergodic Theory of equivariant diffeomorphisms: Markov partitions and Stable Ergodicity, Memoirs AMS, 169, 2004. (PS file of article).
• P Ashwin and M Field Product dynamics for homoclinic attractors , Proc. Royal Soc., Ser. A, 461 (2005), 155-177. PDF file (version of May 2004).
• M J Field, I Melbourne and A Torok. Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets. , Ergodic Theory & Dynamical Systems, 25 (2) (2005), 517-551. PDF file or PS file of article.
• M J Field, I Melbourne, M Nicol and A Torok. Statistical properties of compact group extensions of hyperbolic flows and their time one maps, Discrete and Continuous Dynamical Systems, 2 (1) (2005), 79-96. PDF file or PS file of article.
• M J Field, I Melbourne and A Torok. Stability of rapid mixing for hyperbolic flows, Annals of Mathematics, 166(1) (2007), 269-291. PDF file (version of 2005).
• M J Field, Singularity and stratification theory applied to dynamical systems, Singularity Theory, Proceedings of the 2005 Marseille Singularity School and Conference, WSC, 219-240.
• M J Field, Dynamics and Symmetry, (Imperial College Press, Advanced texts in mathematics, Vol. 3, 2007) (PDF file of preface and table of contents.)
• M Aguiar, P Ashwin, A Dias, and M J Field Robust heteroclinic cycles in coupled cell systems: identical cells with asymmetric inputs.
  preprint 2008 (version of 20 February).