Dedication.- Acknowledgements.- Supervisors' Foreword.- 1 Introduction.- 2 Non-Equilibrium Steady States.- 3 The Effects of Memory on Response and Entropy Production.- 4 The Motion of a Tracer in a Granular Gas.- 5 Anomalous Transport and Non-Equilibrium.- 6 Conclusions and Perspectives.- Appendices A1 - A4.
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