Mixing and statistical properties of dynamical systems, especially flows and dynamics on various types of
asynchronous and hybrid networks.
Research supported by NSF Grants DMS-0071735 and DMS-0600927
Recent publications and preprints
- M F 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 12 (1) (2005), 79-96.
- M J Field, I Melbourne and A Torok.
ergodicity for smooth compact Lie group extensions of hyperbolic basic
sets', Ergodic Theory & Dynamical Systems, 25 (2) (2005), 517-551.
- M J Field, I Melbourne and A Torok. 'Stability of rapid mixing for hyperbolic flows',
Annals of Mathematics, 166(1) (2007), 269-291.
- M J Field, Exponential mixing for smooth hyperbolic suspension flows,
preprint 2010, Regular and Chaotic Dynamics, 16(1-2) (2011), 90-103.