CONTENTS -- Preface -- Part A Classical Hamiltonian Dynamics -- Resonant interaction of charged particles with electromagnetic waves A. A. Vasiliev, A. V. Artemyev, A. I. Neishtadt, D. L. Vainchtein and L. M. Zelenyi -- 1. Introduction -- 2. Main equations -- 3. Single wave (non-relativistic case) -- 3.1. Normal propagation -- 3.2. Oblique propagation -- 4. Effects of the second wave -- 4.1. Parallel propagation -- 4.2. Nonparallel propagation -- 5. Relativistic case -- 6. Discussion and conclusions -- Acknowledgments -- References -- Superrelativistic charged particles acceleration by electromagnetic waves: Self-consistent model A. V. Artemyev, L. M. Zelenyi, and V. L. Krasovsky -- 1. Introduction -- 2. Wave-particle interaction -- 3. Self-consistent approach -- 4. Discussion and conclusions -- Acknowledgments -- References -- Control of atomic transport using autoresonance D. V. Makarov, M. Yu. Uleysky and S. V. Prants -- 1. Introduction -- 2. Basic equations -- 3. Classical dynamics -- 4. Numerical simulation -- 4.1. Classical autoresonance -- 4.2. Quantum autoresonance -- 5. Conclusion -- Acknowledgments -- References -- Lagrangian tools to monitor chaotic transport and mixing in the ocean S. V. Prants, M. V. Budyansky and M. Yu. Uleysky -- 1. Introduction -- 2. Lagrangian and dynamical systems methods to study transport and mixing in the ocean -- 3. Transport and mixing in marine bays -- 4. Transport and mixing in the Kuroshio Extension region -- 5. Conclusion -- References -- Stochastic treatment of finite-N fluctuations in the approach towards equilibrium for mean field models W. Ettoumi and M.-C. Firpo -- 1. Introduction -- 2. General framework -- 2.1. N-body Hamiltonian -- 2.2. From Kramers-Moyal expansion to the Fokker-Planck equation -- 3. Quasistationary states -- 3.1. Botzmann-Gibbs expectations -- 3.2. How to recognize QSSs?.

3.3. Large-time disintegration of QSSs -- 4. Stochastic hypothesis -- 5. A practical example: The Hamiltonian Mean Field model -- 5.1. Averaging the Fokker-Planck equation -- 5.2. Destruction of the inner structure -- 6. Conclusion -- References -- Anomalous transport and phase space structures B. Meziani, O. Ourrad and X. Leoncini -- 1. Introduction -- 2. Motion in two waves -- 3. Decay of particles into islands of stability -- 4. Conclusion -- Acknowledgements -- References -- Part B Nonlinear and Quantum Physics -- Nonlinear kinetic modeling of stimulated Raman scattering in a plasma D. Benisti -- 1. Introduction -- 2. Collisionless dissipation beyond Landau damping -- 3. Self-optimization of stimulated Raman scattering -- 4. Derivation of Raman reflectivity using an envelope code -- 5. Conclusion -- References -- Occurrence of mixed-mode oscillations in a dusty plasma M. Mikikian, H. Tawidian, T. Lecas and O. Vallee -- 1. Introduction -- 2. Instabilities in dusty plasmas -- 3. Mixed-Mode Oscillations -- 4. Evidence of MMOs in dusty plasmas -- 5. State transition -- 6. State alternation -- 7. Conclusion -- Acknowledgments -- References -- Pattern formation by electrostatic self-organization of membrane proteins G. Boedec, M. Jaeger, F. Homble and M. Leonetti -- 1. Introduction -- 2. The formulation of the problem -- 2.1. The electrodiffusive model -- 2.2. The electric model -- 2.3. Case studied here -- 2.4. Numerical method -- 3. Results -- 4. Conclusion -- References -- Quasiperiodic and intermittent stochastic motions in penetrative convection I. N. Sibgatullin and D. V. Kuznetsova -- 1. Introduction -- 2. The formulation of the problem -- 3. Comparison with Rayleigh-Benard convection -- 4. Horizontal scales of periodic structures in plane layer -- 5. Hysteresis -- 6. Transition to chaos -- 7. Conclusions -- Acknowledgements -- References.

Spiral pattern formation in a simple two-phase flow system H. N. Yoshikawa, C. Mathis, P. Maı̈ssa and G. Rousseaux -- 1. Introduction -- 2. Flow and bubble motion -- 3. Theoretical model -- 4. Results of the simulation of the model -- 5. Conclusion -- Acknowledgments -- References -- Spin dependent transport in an electron gas with magnetic disorder T. van den Berg and A. D. Verga -- 1. Introduction -- 2. Model -- 3. Results -- 4. Conclusion -- References -- The study of quantum chaos through entanglement dynamics L. Y. Chew -- 1. Introduction -- 2. Discrete Variable Entanglement Dynamics from Quantum Chaos -- 3. Continuous Variable Entanglement from Quantum Chaos -- 4. Remarks on Entanglement as Signature of Quantum Chaos -- 5. Future Research Directions -- References -- Part C Probablistic and Signal Processing Approaches -- Stochastic solutions of nonlinear PDE's: McKean versus superprocesses R. Vilela Mendes -- 1. Introduction: Stochastic solutions and their uses -- 2. McKean and superprocesses: The KPP equation -- 2.1. The KPP equation: McKean's formulation -- 2.2. Branching exit measures and superprocesses -- 2.3. The KPP equation as a superprocess -- 3. Appendix: Proof of the lemma -- References -- Detection and characterization of Levy flights in chaotic advection phenomena B. Ricaud, F. Briolle and X. Leoncini -- 1. Introduction -- 2. Chaotic advection phenomena -- 2.1. Definitions -- 2.2. A system of point vortices -- 2.3. Stickiness and anomalous transport -- 3. Time-frequency technique -- 3.1. The data set -- 3.2. The detection method -- 4. Conclusions -- Acknowledgements -- References -- On the long range correlation in fbm-based signals with mixed statistics A. Scipioni and P. Rischette -- 1. Context and motivation -- 2. Fractional Brownian motion and fractional Gaussian noise: definition and properties.

2.1. Fractional Brownian motion (fBm) -- 2.2. Fractional Gaussian noise (fGn) -- 3. Wavelet-based estimator and 1/f processes -- 4. Wavelet choice for the estimation of H -- 5. Persistence of H in fBm with mixed statistics -- 6. Conclusion -- References -- Feynman-Kac equation for convection-dispersion with mobile and immobile walkers C. Choquet and M. C. Neel -- 1. Fractional model for advection, dispersion and irregularly distributed sorption -- 1.1. Stochastic model -- 1.2. On the macroscopic scale -- 2. Joint distributions of particles, with respect to positions x and values a of the path integral -- 2.1. Mobile particles -- 2.2. Immobile particles -- 2.3. Substantial fractional integrals -- 3. Probability current in the space of x and a, and evolution equation for P -- 4. Conclusion -- Acknowledgements -- References -- Part D Complex Systems -- Propagation of information on undirected dependency graphs for road traffic inference C. Furtlehner, Y. Han, J.-M. Lasgouttes, V. Martin and F. Moutarde -- 1. Introduction -- 2. The belief propagation algorithm -- 3. Application context -- 3.1. Problem at hand -- 3.2. Statistical modelling and inference schema -- 3.3. MRF model and pseudo moment matching calibration -- 4. Statistical physics analysis -- 5. Experiments with synthetic and real data -- 6. Conclusion -- Acknowledgements -- References -- Markov Chain Analysis of Musical Dice Games D. Volchenkov and J. R. Dawin -- 1. Introduction -- 2. Musical dice game as a Markov chain -- 3. Encoding of a discrete model of music (MIDI) into a transition matrix -- 4. Musical dice game as a generalized communication process -- 5. First passage times to notes resolve tonality of musical dice games -- 6. First passage times to notes feature a composer -- 7. Conclusions -- Acknowledgments -- References.

Unraveling the tangles of language evolution F. Petroni, M. Serva and D. Volchenkov -- 1. Introduction -- 2. The relations among languages encoded in the matrix of lexical distances -- 3. The short list of meanings and its stability -- 4. The structural component analysis of linguistic data -- 5. Geometric representation of the Indo-European family -- 6. In search of lost time -- 7. Evidence for Proto-Indo-Europeans -- 8. In search of Polynesian origins -- 9. Austronesian languages riding an express train -- 10. Conclusion -- Acknowledgements -- References.