List of Contributors.

1. In Memoriam: Radu Balescu (Boris Weyssow, Angelo Vulpiani, Francesco Mainardi, Raul Sánchez, and Diego del-Castillo-Negrete).

Part I: Fractional Calculus and Stochastic Theory.

Introduction to Part I.

2. Threefold Introduction to Fractional Derivatives (Rudolf Hilfer).

3. Random Processes with Infinite Moments (Michael F. Shlesinger).

4. Continuous Time Random Walk, Mittag-Leffler Waiting Time and Fractional Diffusion: Mathematical Aspects (Rudolf Gorenflo and Francesco Mainardi).

5. Introduction to the Theory of Lévy Flights (Alexei V. Chechkin, Ralf Metzler, Joseph Klafter, and Vsevolod Yu).

6. Fractional Diffusion Models of Anomalous Transport (Diego del-Castillo-Negrete).

7. Anomalous Kinetics Leads to Weak Ergodicity Breaking (Eli Barkai).

Part II: Dynamical Systems and Deterministic Transport.

Introduction to Part II.

8. Deterministic (Anomalous) Transport (Roberto Artuso and Giampaolo Cristadoro).

9. Anomalous Transport in Hamiltonian Systems (Eduardo G. Altmann and Holger Kantz).

10. Anomalous Heat Conduction (Stefano Lepri, Roberto Livi, and Antonio Politi).

Part III: Anomalous Transport in Disordered Systems.

Introduction to Part III.

11. Anomalous Relaxation in Complex Systems: From Stretched to Compressed Exponentials (Jean-Philippe Bouchaud).

12. Anomalous Transport in Glass-Forming Liquids (Walter Kob, Gustavo A. Appignanesi, J. Ariel Rodriguez Fris, and Ruben A. Montani).

13. Subdiffusion-Limited Reactions (Santos Bravo Yuste, Katja Lindenberg, and Juan Jesús Ruiz-Lorenzo).

14. Anomalous Transport on Disordered Fractals (Karl Heinz Hoffmann and Janett Prehl).

Part IV: Applications to Complex Systems and Experimental Results.

Introduction to Part IV.

15. Superstatistics: Theoretical Concepts and Physical Applications (Christian Beck).

16. Money Circulation Science – Fractional Dynamics in Human Mobility (Dirk Brockmann).

17. Anomalous Molecular Displacement Laws in Porous Media and Polymers Probed by Nuclear Magnetic Resonance Techniques (Rainer Kimmich, Nail Fatkullin, Markus Kehr, and Yujie Li).

18. Anomalous Molecular Dynamics in Confined Spaces (Rustem Valiullin and Jörg Kärger).

19. Paradigm Shift of the Molecular Dynamics Concept in the Cell Membrane: High-Speed Single-Molecule Tracking Revealed the Partitioning of the Cell Membrane (Akihiro Kusumi, Yasuhiro Umemura, Nobuhiro Morone, and Takahiro Fujiwara).

Index.