Mixing and Statistical properties of flows

Main topics

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

Some recent publications

• 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. 'Stable 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', Regular and Chaotic Dynamics, 16(1-2) (2011), 90-103.